LIST OF PUBLICATIONS

 

1.    With H. Schaettler, M. Reisi, and S. Mahmoudian, S. On the MTD paradigm and optimal control for combination cancer chemotherapy, Mathematical Biosciences and Engineering, 10(3), 2013, to appear.

2.    With O. Olumoye and H. Schaettler, On optimal chemotherapy with a strongly targeted agent for a model of tumor-immune system interactions with generalized logistic growth, Mathematical Biosciences and Engineering, 10(3), 2013, to appear.

3.    With H. Schaettler, M. Faraji, Optimal Protocols for a Mathematical Model of Tumor-Immune Interactions under Chemotherapy with Immune Boost, special issue of Discrete and Continuous Dynamical Systems, Series B, (2012), 18 (4), 2013, pp. 1031-1051, doi:10.3934/dcdsb.2013.18.1031.

4.    With A. d’Onofrio, H. Schaettler, Tumor Development under Combination Treatments with Anti-Angiogenic Therapies, in Mathematical Methods and Models in Biomedicine, Springer-Verlag, (editors: U. Ledzewicz, H.Schaettler, A.Friedman, E.Kashdan), September 2012, pp. 311-337.

5.    With A. d’Onofrio, H. Schaettler,  On the Dynamics of Tumor Immune Interactions and Combined Chemo- and Immunotherapy, in New Challenges for Cancer Systems Biology, Springer Verlag, (editors: A. d’Onofrio, P. Cerrai and A. Gandolfi), 2012, pp. 249-266.

6.    With H. Schaettler, S. Mahmoudian, M. Reisi, A Geometric Analysis of Bang-Bang Extremals in Optimal Control Problems for Combination Cancer Chemotherapy, Proceedings of 51st IEEE Conference on Decision and Control, Maui, December 2012, pp. 7691-7696.

7.    With H. Schaettler, M. Faraji, On Optimal Protocols for Combinations of Chemo- and Immunotherapy, Proceedings of 51st IEEE Conference on Decision and Control, Maui, December 2012, pp. 7492-7497.

8.    With H. Schaettler, Perturbation feedback control: A geometric interpretation, Numerical Algebra, Control and Optimization, Vol.2, No.3, (2012), pp.631-654.

9.    With H. Schaettler, S. Mahmoudian, M. Reisi, Optimal Control of Multi-Input Systems for Cancer Chemotherapy, in Latest Advances in Systems Science and Computational Intelligence, pp. 31-36, (2012), ISBN:978-1-61804-094-7.

10.          With H. Schaettler, Lyapunov-Schmidt reduction for optimal control problems, Discrete and Continuous Dynamical Systems, Series B, Vol. 17, (2012), pp.2201-2225.

11.          With H. Schaettler, Synthesis of Optimal Controlled Trajectories with Chattering Arcs,  Dynamics of Discrete, Continuous and Impulsive Systems, Series B, Applications and Algorithms, (2012), vol. 19, pp.161-186.

12.            With H.Schaettler, Multi-Input Optimal Control Problems for Combined Tumor Anti-Angiogenic and Radiotherapy Treatments, Journal of Optimization Theory and Applications, (2012), Vol.153, pp.195-224, doi:10.1007/s10957-011-9954.

13.            With M. Naghneian, H. Schaettler, Optimal Response to Chemotherapy for a Mathematical Model of Tumor-Immune Dynamics, Journal of Mathematical Biology, (2011), pp. 557- 577, doi:10.1007/s00285-011-0424-6.

14.          With H. Schaettler, On optimal singular controls for a general SIR-model with vaccination and treatment supplement, to Discrete and Continuous Dynamical Systems, Series B, 2011, AIMS Proceedings,  2011, pp.981-990.

15.          H. Schaettler, U. Ledzewicz, B. Cardwell, “Robustness of optimal controls for a class of mathematical models for tumor anti-angiogenesis,” Mathematical Biosciences and Engineering, 8 (2), (2011),pp.335-371, doi:10.3934, mbe.2011.8.35.

16.                                  with H. Maurer, H.Schaettler, “Optimal and Suboptimal Protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy,” Mathematical Biosciences and Engineering, 8 (2), April 2011, pp. 307-323, doi:10.3934/mbe.2011.8.307.

17.           with M. Naghneian, H. Schaettler, Dynamics of Tumor-Immune Interactions under Treatment as an Optimal Control Problem, , supplement to Discrete and Continuous Dynamical Systems, Series B, (2011), AIMS Proceedings, pp.971-980.

18.          with H. Schaettler, On the mathematical model of a combined anti-angiogenic and radiotherapy treatment, Proceedings of the 16th Conference on Applications of Mathematics to Biology and Medicine, (2010), pp. 76-81.

19.          With H. Schaettler and M. Naghneian, Bifurcation of singular arcs in an optimal control problem for cancer immune system interactions under treatment, Proceedings of the 49th IEEE Conference on Decision and Control, (2010),pp. 7039-7044,

20.                      with M. Naghnaeian and H. Schaettler, An optimal control approach to cancer treatment under immunological activity,  Applicationes Mathematicae 38 (1), (2011), pp.17-31.

21.          with H. Maurer and H. Schaettler, Minimizing tumor volume for a mathematical model of anti-angiogenesis with linear pharmacokinetics, Recent Advances in Optimization and its Applications in Engineering, M. Diehl, F. Glineur, E. Jarlebring, W. Michiels, Eds., Springer Verlag (2010), pp.267-276.

22.          with H. Schaettler, J. Marriot and H. Maurer, Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment, Mathematical Medicine and Biology, 27 (2010), pp. 159-179.

23.                      with H. Schaettler, Singular controls and chattering arcs in optimal control problems arising in biomedicine, Control and Cybernetics, 38, (2009), pp. 1501-1523

24.                      with H. Schaettler, Optimal controlled trajectories for a mathematical model of anti-angiogenic therapy in cancer, Proceedings of the 48th IEEE Conference on Decision and Control, December 2009, Shanghai, China, (2009), pp. 1201-1206

25.                      with H. Maurer and H. Schaettler, Bang-bang and singular controls in a mathematical model for combined anti-angiogenic and chemotherapy treatment, Proceedings of the 48th IEEE Conference on Decision and Control, December 2009, Shanghai, China, (2009), pp. 2280-2285

26.                      with A. d’Onofrio, H. Maurer and H. Schaettler, On optimal delivery of combination therapy for tumors, Mathematical Biosciences, 222, (2009), pp. 13-26, doi:10.1016/j.mbs.2009.08.004

27.                      with H. Schaettler, On an Extension of a mathematical model for tumor anti-angiogenesis, Nonlinear Analysis, 71, (2009), pp. e2390-e2397

28.                      with H. Schaettler and V. Oussa, Optimal solutions of a model of tumor anti-angiogenesis with a penalty on the cost of treatment, Applicationes Mathematicae, 36 (3), (2009), pp. 295-312

29.                      with H. Schaettler, On optimal control for a model of cancer treatment with immunological activity, Proceedings of the Conference on Applications of Mathematics in Biology and Medicine, Szczyrk, Poland, September 2009, pp. 76-81

30.                      with H. Schaettler and V. Oussa, Model for cancer therapy with penalty on the cost of treatment, International Journal of Pure and Applied Mathematics, 54 (1),  (2009),  pp. 1-6

31.                      with H. Schaettler and A. Berman, On the structure of optimal protocols for a mathematical model of tumor anti-angiogenic therapy with linear pharmacokinetics, Proceedings of 3rd IEEE Multi Conference on Systems and Control, St. Petersburg, Russia, July 2009, pp. 71-76

32.                      with H. Schaettler and  J. Marriot, Piecewise constant suboptimal controls for a system describing tumor growth under angiogenic treatment,  Proceedings of 3rd IEEE Multi Conference on Systems and Control, St. Petersburg, Russia, July 2009, pp. 77-82

33.                      with H. Schaettler and Y. Liu,  The Effect of Pharmacokinetics on Optimal Protocols for a Mathematical Model of Tumor Anti-Angiogenic Therapy, 2009 American Control Conference, St. Louis, Mo, USA, June 2009, pp. 1060-1065

34.                      with H. Schaettler and J. Munden, Scheduling of anti-angiogenic inhibitors for Gompertzian and logistic tumor growth models, Discrete and Continuous Dynamical Systems, Series B, Special Issue “Application of Dynamical Systems to Biology and Medicine,” 12 (2), (2009), pp. 415-439

35.                      with H. Schaettler, On the optimality of singular controls for a class of mathematical models for tumor anti-angiogenesis, Discrete and Continuous Dynamical Systems, Series B, 11 (3), (2009), pp. 691-715

36.                      with H. Schaettler and J. Munden, Bang-bang controls for anti-angiogenesis under logistic growth of the tumor, International Journal of Pure and Applied Mathematics, 49  (4), (2008), pp. 511-516

37.                      with H. Schaettler and A. d’Onofrio, Optimal control for combination therapy in cancer,  Proceedings of the 47rd IEEE Conference on Decision and Control, Cancun, Mexico, December 9-11, 2008, pp. 1537-1542

38.                      with H. Schaettler, J. Marriot and H. Maurer, Realizable protocols for optimal administration of drugs in mathematical models for novel cancer treatments, Journal of Medical Informatics and Technologies, 12, October 2008, pp. 23-29

39.                      with H. Schaettler, Analysis and challenges in optimal control of mathematical models for cancer treatments, in: Advances in Mathematical Problems in Engineering Aerospace and Science, (Ed.: S. Sivasundaram), Chapter 19, pp.  211-222, Out-of-House Publishing, United Kingdom,  2008

40.                      with H. Schaettler, Minimization of the tumor volume and endothelial support for a system describing tumor anti-angiogenesis, WSEAS Transactions on Biology and Biomedicine, 5 (2), (2008), pp. 23-33

41.                      with H. Schaettler, Effect of the objective on the optimal control for a system describing tumor anti-angiogenesis, Proceedings of the 12th WSEAS International Conference on Systems, part II, (2008), pp. 483-490

42.                      with H. Schaettler, Optimal and suboptimal protocols for a class of mathematical models for tumor anti-angiogenesis, J. of Theoretical Biology, 252, (2008), pp. 295-312

43.                      with H. Schaettler, Analysis of a mathematical model for tumor anti-angiogenesis, Optimal Control, Applications and Methods, 29 (1), (2008), pp. 41-57

44.                      with H. Schaettler, Anti-angiogenic therapy in cancer treatment as an optimal control problem, SIAM J. on Control and Optimization46 (3), (2007), pp. 1052-1079

45.                      with  H. Schaettler, On a class of systems describing tumor anti-angiogenesis under Gompertzian growth, WSEAS Transactions on Systems, 4 (6), (2007), pp.758-766

46.                      with  H. Schaettler, Singular controls in systems describing tumor anti-angiogenesis, Proc. of the 5th WSEAS Conference on Systems Science and Simulation in Engineering, Tenerife, Spain, December 2006, pp. 156-161

47.                      with H. Schaettler, Optimal control for a system modelling tumor anti-angiogenesis, ICGST - Int. J. on Automatic Control and Systems Engineering (ACSE), 6, (2006), pp. 33-39

48.                      with H. Schaettler, Application of optimal control to a system describing tumor anti-angiogenesis, Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japan, July 2006, pp. 478-484

49.                      with H. Schaettler, Analysis of models for evolving drug resistance in cancer chemotherapy, DCDIS (Dynamics of Continuous, Discrete and Impulsive Systems),  Proceedings 2, (2006), pp. 291-304

50.                      with M. de Pinho, M.M. Ferreira and H. Schaettler, A model for cancer chemotherapy with state space constraints, Nonlinear Analysis63 (5), (2005), pp. 2591-2602

51.                      with H. Schaettler, Optimal control for a system modelling tumor anti-angiogenesis, Proc. of the ICGST Int. Conf. on Automatic Control and Systems Engineering (ACSE), 2005, Cairo, Egypy, pp. 147-152

52.                      with H. Schaettler, Model of maximizing bone marrow with pharmacokinetics, Mathematical Biosciences, 206 (2), (2007), pp. 320-342

53.                      with H. Schaettler, Drug resistance in cancer chemotherapy as an optimal control problem, Discrete and Continuous Dynamical Systems, series B, 6 (1), (2006),  pp. 129-150

54.                      with H. Schaettler, A synthesis of optimal controls for a model of tumor growth under angiogenic inhibitors, Proceedings of the 44rd IEEE Conference on Decision and Control, Seville, Spain, December 12-15, 2005

55.                      with H. Schaettler, The influence of PK/PD on the structure of optimal control in cancer chemotherapy models, Mathematical Biosciences and Engineering, 2, (3), August 2005

56.                      with H. Schaettler, A.Swierniak and J. Smieja, Drug resistance and phase specificity of cancer chemotherapy: finite versus infinite dimensional models, Proc. of the 5th IASTED Conference on Modeling, Simulation and Optimization, Oranjestad, Aruba, 2005, no. 471-065

57.                      with H. Schaettler, A local field of extremals for single-input systems with state space constraints, Proc. of the 43rd IEEE Conf. on Decision and Control, The Bahamas, December 2004, pp. 923-928

58.                      with H. Schaettler, The structure of optimal controls for a cancer chemotherapy model with PK/PD equations, Proc. of the 43rd IEEE Conf. on Decision and Control, The Bahamas, December 2004, pp.1376-1381

59.                      with H. Schaettler and A.Swierniak, Finite dimensional models of drug resistant and phase specific cancer chemotherapy,  Journal of Medical Information Technology8, (2004), pp. 5-13

60.                      with H. Schaettler, Application of control theory in modeling cancer chemotherapy, ICCAS 2004, Proceedings of the Int. Conf. on Control, Automation and Systems, Bangkok, Thailand, August 2004, pp. 330-335

61.                      with H. Schaettler and A.Swierniak, Singular controls are not optimal for compartmental models of cancer chemotherapy, Proceedings of X Conference on Application of Mathematics in Biology and Medicine, Jodlowy Dwor, Poland, September 2004, pp. 213-218

62.                      with H. Schaettler, Controlling a model for bone marrow dynamics in cancer chemotherapy, Mathematical Biosciences and Engineering, 1 (1), (2004), pp.95-110,

63.                      with T. Brown and H. Schättler, A comparison of optimal controls for a model in cancer chemotherapy with L1- and L2-type objectives, Optimization Methods and Software19 (3-4), (Special Issue devoted to Proceedings of the First International Conference on Optimization Methods and Software, Hangzhou, China, December 2002), pp. 351-359, 2004

64.                      with H. Schaettler and A. Nowakowski, Stratifiable families of extremals and sufficient conditions for optimality in optimal control problems, Journal of Optimization Theory and Applications (JOTA), 122, (2), (2004),

65.                      with H. Schaettler and S. Walczak, Optimal control system governed by second-order ODEs with Dirichlet boundary data and variable parameters, Illinois Journal of Mathematics47 (4), (2004), pp. 1189-1206,

66.                      with H. Schaettler, Optimal control for a bilinear model with recruiting agent in cancer chemotherapy, Proceedings of the 42nd IEEE Conference on Decision and Control (CDC), Maui, Hawaii, December 2003, pp.2762-2767

67.                      with H. Schaettler and A. Swierniak, Optimal control for a class of compartmental models in cancer chemotherapy, International Journal of Applied Mathematics and Computer Science, 13 (3), pp. 357-368, 2003

68.                      with H. Schaettler, Optimal control for a 3-compartment model for cancer chemotherapy with quadratic objective, in: Dynamical Systems and Differential Equations, (W. Feng, S, Hu and X. Lu, Eds., A supplement volume to Discrete and Continuous Dynamical Systems), Proceedings of the 4th International Conference on Dynamical Systems and Differential Equations, Wilmington, NC, 2002, p. 544-553

69.                      with H. Schaettler, Sufficient conditions for optimality of controls in biomedical systems, Proceedings of the 41st IEEE Conference on Decision and Control (CDC), Las Vegas, Nevada, 2002, pp. 3524-29

70.                      with H. Schättler, Optimal controls for a two-compartment model for cancer chemotherapy with quadratic objective, Proceedings of the 5th Portuguese Conference on Automatic Control (Controlo 2002), Aveiro, Portugal, 2002, pp. 241-247

71.                      with H. Schättler, Analysis of a cell-cycle specific model for cancer chemotherapy, Journal of Biological Systems, 10 (3), 2002, pp. 183-206

72.                      with H. Schättler, On optimal controls for a general mathematical model for chemotherapy of HIV, Proceedings of the 2002 American Control Conference, Anchorage, Alaska, 2002, pp. 3454-3459

73.                      with H. Schättler, Analysis of a class of optimal control problems arising in cancer chemotherapy, Proceedings of the 2002 American Control Conference, Anchorage, Alaska, 2002, pp. 3460-3465

74.                      with H. Schättler, Optimal bang-bang controls for a 2-compartment model in cancer chemotherapy, Journal of Optimization Theory and Applications, Vol. 114, No.3, 2002, pp. 609-637

75.                      with S. Walczak and H. Schättler, Stability of elliptic optimal control problems, Computers and Mathematics with Applications, 41, 2001, pp. 1245-1256

76.                      with H. Schättler, A high-order maximum principle for abnormal extremals, in: Encyclopedia of Optimization, Kluwer Academic Publishing Co., 2001, pp. 423-430

77.                      with H. Schättler, High-order necessary conditions for abnormal points, in: Encyclopedia of Optimization, Kluwer Academic Publishing Co., 2001, pp. 431-438

78.                      with H. Schättler,  On optimal controls for a 3-compartment model of cancer chemotherapy,” at Proceedings of IASTED International Conference on Control and Applications, Banff, Canada, 2001, pp. 109-114

79.                      with H. Schättler, On generalizations of the Euler-Lagrange equation, Nonlinear Analysis, Vol. 47, 2001, pp. 339-350 (Proceedings of Third World Congress of Nonlinear Analysts)

80.                      with H. Schättler and A. Nowakowski, A local generalized Hilbert invariant integral, Nonlinear Analysis, Vol. 47, 2001, pp. 399-310, (Proceedings of Third World Congress of Nonlinear Analysts)

81.                      with H. Schättler, A high-order generalized local Maximum principle, SIAM Journal on Control and Optimization, Vol. 38, No.3, 2000, pp. 823-855

82.                      with H. Schättler, Optimal control for a mathematical model of cancer chemotherapy, in: Control and Applications, Proceedings of the IASTED International Conference, Cancun, Mexico, 2000, pp. 8-14

83.                      with H. Schättler, On the synthesis of controls for a mathematical model of cancer chemotherapy, Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000, pp. 4845-4850

84.                      with H. Schättler, A high-order maximum principle for abnormal extremals - examples, Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000, pp.136-141

85.                      with H. Schättler and S. Walczak, A high-order open mapping theorem in Banach spaces, Nonlinear Studies, Vol. 6, No. 1, 1999, pp. 1-10

86.                      with H. Schättler and A. Nowakowski, Generalized fields of extremals, in: Mathematical Theory of Networks and Systems, Proceedings of the MTNS-98 Symposium, Padova, Italy, 1999, pp. 277-281

87.                      with H. Schättler, High-order approximations in Optimal Control Theory: a comparison of normal, abnormal and singular cases, Proceedings of the MTNS-98 Symposium, Padova, Italy, 1999, pp. 282-285

88.                      with H. Schättler, High-order approximations for abnormal bang-bang extremals, in: System Modelling and Optimization, P. Kall, I. Lasiecka and M. Polis, Eds., (Proceedings of the 18th IFIP Conference on Mathematical Modelling and Optimization), Addison-Wesley-Longman Publ. Co., 1999, pp. 126-135

89.                      with H. Schättler, A high-order generalization of the Lyusternik theorem and its application to optimal control problems, in: Dynamical Systems and Differential Equations, Vol. II, W. Chen and S. Hu, Eds., 1998, pp. 45-59, (Proceedings of the International Conference on Dynamical Systems and Differential Equations, Springfield, Missouri, June 1996)

90.                      with A. Nowakowski, Dual optimal synthesis for optimal control problems with abstract semilinear differential equations, in: Dynamical Systems and Differential Equations, Vol. II, W. Chen and S. Hu, 1998, Eds., pp. 32-44, (Proceedings of the International Conference on Dynamical Systems and Differential Equations, Springfield, Missouri, June 1996)

91.                      with H. Schättler, High-order extended Maximum Principles for optimal control, in: Optimal Control: Theory, Algorithms and Applications, (W.W. Hager and P.M. Pardalos, Eds.), Kluwer Academic Publishers, 1998, pp. 298-325

92.                      with H. Schättler, A high order generalization of the Lyusternik theorem, Nonlinear Analysis, Vol. 34, No. 6, 1998, pp. 793-815

93.                      with H. Schättler, High-order approximations and generalized necessary conditions for optimality, SIAM Journal on Control and Optimization, Vol. 37, No. 1, 1998, pp. 33-56

94.                      with H. Schättler, Analysis of abnormal extremals in optimal control, in: Proceedings of Symposia in Pure Mathematics, H. Sussmann and G. Ferreyra, Eds., Proceedings of Symposia in Pure mathematics, Vol. 64, American Mathematical Society, 1998, pp. 223-239

95.                      with H. Schättler, Perturbation feedback control and neighboring extremals in the abnormal case, Proceedings of the IASTED International Conference on Control and Applications, Honolulu, Hawaii, August 1998, pp. 161-166

96.                      with S. Walczak, Optimal control of systems governed by elliptic equations, Discrete and Continuous Dynamical Systems, Vol. 5, No.2, 1998, pp. 279-290

97.                      with H. Schättler, Second order Dubovitskii-Milyutin theory and applications to control, Advances in Nonlinear Dynamics, (Stability and Control: Theory, Methods and Applications, Vol. 5,  S. Sivasundaram and A.A. Martynyuk, Eds.), 1997,  pp. 179-192

98.                      with H. Schättler, An Extended Maximum Principle, Nonlinear Analysis, Vol.29, No.2, 1997, pp. 159-183

99.                      with H. Schättler, High-order tangent cones and their application in optimization, Nonlinear Analysis, Vol. 30, No. 4, 1997, pp. 2449-2460, (Proceedings of the Second World Congress of Nonlinear Analysts, Athens, Greece, July 1996)

100.                with A. Nowakowski, Optimality conditions for control problems governed by abstract semilinear differential equations in complex Banach spaces, Journal of Applied Analysis, Vol. 3, No.1, 1997, pp. 67-91

101.                with S.Walczak, Generalizations of the Lusternik theorem and their applications to nonsmooth and abnormal problems in optimization and optimal control, Proceedings of the First  World Congress of Nonlinear Analysts, Tampa (Florida), August, 1992, Vol. III, pp. 2583-2594, Walter de Gruyter, 1996

102.                with H. Schättler, A generalization of the Lyusternik theorem and high order approximations in Optimization, Proceedings of the 2nd Portuguese Conference on Automatic Control, Porto, Portugal, September 1996, pp. 455-460

103.                with H. Schättler, Second Order  Conditions for Extremum Problems with Nonregular Equality Constraints, Journal of Optimization Theory and Applications, Vol.86, No.1, July 1996, pp. 113-144.

104.                with H. Schättler, An Extended Global Maximum Principle, Proceedings of 34th IEEE Conference on Decision and Control, New Orleans, pp. 3922-3928, December 1995 

105.                with S.Walczak, On the Lusternik Theorem for Nonsmooth Operators, Nonlinear Analysis, Theory, Methods and Applications, Vol.22, No.2, pp. 121-128, 1994

106.                with H. Schättler, A theory of first and second order conditions for nonregular extremum problems, in:  Optimal Control of Differential Equations and Variational Inequalities ( editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied Mathematics,  Marcel  Dekker, Vol.160, pp. 237-250, 1994

107.                with H. Schättler, Pareto optimality conditions for abnormal optimization and optimal control problems, in:  Optimal Control of Differential Equations  and Variational Inequalities  (editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied Mathematics,  Marcel  Dekker, Vol.160, pp. 217-235, 1994

108.                with A. Nowakowski, Necessary and sufficient conditions for optimlity for nonlinear control problems in Banach spaces,  in:  Optimal Control of Differential Equations and Variational Inequalities ( editor: N. Pavel, Proceedings of the Conference on Optimal Control, Athens (Ohio), March 25-27, 1993), Lecture Notes in Pure and Applied Mathematics,  Marcel Dekker, Vol.160,  pp. 195-216, 1994 

109.                with H. Schättler, Second order conditions for optimality in abnormal optimal control problems,  Proceedings of 33 IEEE Conference on Decision and Control, Orlando, December 1994, pp.2594-2599

110.                On Abnormal Optimal Control Problems with Mixed Equality and Inequality Constraints, Journal of Mathematical Analysis and Applications, Vol. 173, No.1, pp. 18-42,  1993

111.                The Extremum Principle for Some Types of Distributed Parameter Control Problems, Applicable Analysis, Vol. 48, pp.1-21, 1993

112.                An Extension of the Local Maximum Principle to Abnormal Optimal Control Problems, Journal of Optimization Theory and Applications, Vol.77, No.3, pp. 661-681, 1993

113.                On Some Distributed Parameter Control Systems with Terminal Data in the Abnormal Case and in the Case of Nonoperator Equality Constraints, Journal of Applied Mathematics and Stochastic Analysis, Vol.6, No.2, pp.137-151, 1993

114.                On an Abnormal Optimal Control Problem, in: Mathematical Theory of Control  (editors: M. Joshi, A. Balakrishnan, Proceedings of the International Conference on Mathematical Control, IIT Bombay, India, December 10-15, 1990), Lecture Notes in Pure and Applied Mathematics, Vol. 142, Marcel Dekker,  pp. 255-267, 1992

115.                Optimality Conditions for Abnormal  Optimal Control Problems of Systems with Terminal Data, in: Theory of Differential Equations and Applications to Oceanography, ( editors: S.G. Deo, Y.S. Prahalad, Proceedings of International Conference on the Theory of Differential Equations and Applications to Oceanography, Goa University, India, December 17-21, 1990), Affiliated East-West Press Private Limited, New Delhi, pp. 187- 206, 1992

116.                Optimality conditions for abnormal optimal control problems with additional equality constraints, in: Partial Differential Equations, (editors: J. Wiener, J. Hale,  Proceedings of International Conference on the Theory and Applications of Differential Equations in Edinburg, Texas, May 1991),  Pitman Research Notes in Mathematics, Vol. 273, Longman Scientific and Technical, New York, pp.96-100, 1992

117.                On the Optimal Control Problems of Parabolic Equatons with an Infinite Number of Variables and with Equality Constraints, Differential and Integral Equations,Vol.4, pp. 369-381, 1991

118.                On the Euler-Lagrange Equation in the Case of Nonregular Operator Equality Constraints, Journal of Optimization Theory and Applications, Vol. 71, No.3, pp. 549-568, December 1991

119.                Optimality and Pareto Optimality Conditions for the Problems with Nonregular Operator Equality Constraints, Nonlinear Analysis , Vol 16, No.4, pp. 347-360, 1991

120.                Application of the Moser's Technique to the Tangent Direction Problem for Nonlinear  Evolution Equations, in: Differential Equations, Stability and Control, (editor: S. Elaydi, Proceeding of the International Conference of  the Differential  Equations, Theory and Applications in Stability and Control,  Colorado Springs, June 1989), Lectures Notes in Pure and Applied Mathematics, Vol.127, Marcel Dekker, pp. 363-375, 1990

121.                On the Extremum Problems in the Presence of Unbounded Operator Constraint, Journal of Mathematical Analysis and Applications, Vol.151, No.2, pp. 344-358, 1990

122.                On Some Optimal Control Problems of Differential Equations with Additional Equality Contraints. in: Modern Optimal Control (editor: E. Roxin, Proceeding of the  International Conference  in Honor of  Solomon Lefschetz and Joseph P.LaSalle, 30 Years of Modern Optimal Control Theory, Kingston,  Rhode Island, June 1988), Lecture Notes in Pure and Applied Mathematics, Vol. 119, Marcel Dekker, pp.259-271, 1989

123.                A Necessary and Sufficient Condition for Altman's Maximal Element Problem for Constraint Sets with Many Equalities, Nonlinear Analysis, Theory, Methods and Applications,Vol.13, No.7, pp. 833-840, 1989

124.                Application of Global Linearization Interative Methods to General Optimal Control Problems in Banach Spaces, in: Differential Equations and Applications, (editor: A.R. Aftabizadeh, Proceeding on the International Conference on the Theory and Applications of Differential Equations, Colmbus, Ohio, March 1988), Ohio University Press, Athens, Vol.2, pp. 103-109, 1989

125.                A Necessary Condition for the Extremal Problems under Gateaux Differentiability, Journal of Mathematical Analysis and Applications, Vol.134, No.1, pp.158-168, 1988

126.                Optimal Control Problems of Hyperbolic Systems with Operator and Nonoperator Equality Constraints, Applicable Analysis, Vol. 27, pp. 199-215, 1988

127.                On the Optimal Control Problems with Gateaux Differentiable Operator Constraints,  Journal of Mathematical Analysis and Applications, Vol. 130, No. 2, pp. 301-315, 1988

128.                Tangent Directions for a Class of Nonlinear Evolution Equations,  Differential and Integral Equations, Vol.1, No.4, pp.409-422, 1988

129.                Application of Some Specification of the Dubovitskii-Milyutin Method to Problems of Optimal Control, Nonlinear Analysis; Theory, Methods and Applications, Vol. 12, No.2, pp.101-108, 1988

130.                Application of the Method of Contractor Directions to the Dubovitskii-Milyutin Formalism, Journal of Mathematical Analysis and Applications, Vol. 125, No. 1, pp. 174-184, 1987

131.                The Extremum Principle for Problems of Optimal Control with Mixed Constraints, Acta Universitatis Lodziensis, Folia Mathematica, No. 2 , pp. 37-59, 1987

132.                Applications of the Method of Contractor Directions to Optimization Theory,  Proceedings of the Conference of Applied Mathematics, Sielpia, (Poland), pp. 168-173, 1986

133.                The Necessary and Sufficient Condition for the Problem of Optimal Control of  Parabolic Systems with Equality Constraints, Bulletin de la Societé des Science at des Lettres de Lodz,Vol. XXXVII, No. 30, pp. 1-12, 1986

134.                On Some Specification of the Dubovitskii-Milyutin Method, Nonlinear Analysis: Theory, Methods and Applications, Vol. 10, No. 12, pp. 1367-71, 1986

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Urszula Ledzewicz / uledzew@siue.edu / Updated: February 20, 2013