1. 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), April 2011, to appear.
2. U. Ledzewicz, 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.
6. with M.
Naghnaeian and H. Schaettler, An optimal control
approach to cancer treatment under immunological activity, Applicationes Mathematicae 38 (1), (2011), to appear.
9. with H. Schaettler,
Singular
controls and chattering arcs in optimal control problems arising in biomedicine, Control and Cybernetics, 38, (2009),
pp. 1501-1523
10. 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
11. 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
12. 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
13. with H. Schaettler, On
an Extension of a mathematical model for tumor anti-angiogenesis, Nonlinear Analysis, 71, (2009), pp.
e2390-e2397
14. 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
15. 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
16. 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
17. 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
1. 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
2. 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
3.
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
4.
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
5.
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
6.
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
7.
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
8.
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
9.
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
10. 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
11. 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
12. with H. Schaettler, Analysis of a
mathematical model for tumor anti-angiogenesis, Optimal Control,
Applications and Methods, 29
(1), (2008), pp. 41-57
13. with H. Schaettler, Anti-angiogenic therapy in cancer treatment as an optimal
control problem, SIAM J. on Control and Optimization, 46 (3), (2007), pp. 1052-1079
14. 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
15. 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
16. 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
17. 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
18. 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
19. with M. de Pinho, M.M.
Ferreira and H. Schaettler, A model for
cancer chemotherapy with state space constraints, Nonlinear Analysis,
63 (5), (2005), pp. 2591-2602
20. 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
21. with H. Schaettler, Model of
maximizing bone marrow with pharmacokinetics, Mathematical Biosciences,
206 (2), (2007), pp. 320-342
22. 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
23. 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
24. 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
25. 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
26. 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
27. 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
28. with H. Schaettler and A.Swierniak, Finite dimensional
models of drug resistant and phase specific cancer chemotherapy, Journal
of Medical Information Technology, 8, (2004), pp. 5-13
29. 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
30. 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
31. with H. Schaettler, Controlling a model
for bone marrow dynamics in cancer chemotherapy, Mathematical
Biosciences and Engineering, 1
(1), (2004), pp.95-110,
32. 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 Software, 19 (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
33. 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),
34. with H. Schaettler and S. Walczak, Optimal control system governed
by second-order ODEs with Dirichlet boundary data and
variable parameters, Illinois Journal of Mathematics, 47 (4), (2004), pp. 1189-1206,
35. 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
36. 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
37. 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
38. 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
39. 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
40. with H. Schättler, Analysis of a cell-cycle
specific model for cancer chemotherapy, Journal of Biological Systems,
10 (3), 2002, pp. 183-206
41. 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
42. 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
43. 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
44. with S. Walczak and H. Schättler, Stability of elliptic optimal control problems, Computers
and Mathematics with Applications, 41, 2001, pp. 1245-1256
45. with H. Schättler, A high-order maximum principle for abnormal extremals, in: Encyclopedia of Optimization, Kluwer Academic Publishing Co., 2001, pp. 423-430
46. with H. Schättler, High-order necessary conditions for abnormal
points, in: Encyclopedia of Optimization, Kluwer
Academic Publishing Co., 2001, pp. 431-438
47. 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
48. 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)
49. 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)
50. with H. Schättler, A high-order generalized local Maximum principle,
SIAM Journal on Control and Optimization, Vol. 38, No.3, 2000, pp.
823-855
51. 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
52. 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
53. 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
54. 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
55. 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
56. 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
57. 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
58. 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)
59. 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)
60. 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
61. with H. Schättler, A high order generalization of the Lyusternik theorem, Nonlinear Analysis, Vol. 34, No.
6, 1998, pp. 793-815
62. 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
63. 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
64. 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
65. with S. Walczak, Optimal
control of systems governed by elliptic equations, Discrete and Continuous
Dynamical Systems, Vol. 5, No.2, 1998, pp. 279-290
66. 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
67. with H. Schättler, An Extended Maximum Principle, Nonlinear
Analysis, Vol.29, No.2, 1997, pp. 159-183
68. 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)
69. 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
70. 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
71. 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
72. 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.
73. with H. Schättler, An Extended Global Maximum Principle,
Proceedings of 34th IEEE Conference on Decision and Control, New Orleans, pp.
3922-3928, December 1995
74. with S.Walczak,
On the Lusternik Theorem for Nonsmooth
Operators, Nonlinear Analysis, Theory, Methods and Applications, Vol.22,
No.2, pp. 121-128, 1994
75. 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
76. 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
77. 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
78. 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
79. 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
80. The Extremum
Principle for Some Types of Distributed Parameter Control Problems, Applicable
Analysis, Vol. 48, pp.1-21, 1993
81. 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
82. 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
83. 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
84. 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
85. 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
86. 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
87. 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
88. Optimality and Pareto
Optimality Conditions for the Problems with Nonregular
Operator Equality Constraints, Nonlinear Analysis , Vol
16, No.4, pp. 347-360, 1991
89. 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
90. 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
91. 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
92. 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
93. 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
94. A Necessary Condition for
the Extremal Problems under Gateaux
Differentiability, Journal of Mathematical Analysis and Applications,
Vol.134, No.1, pp.158-168, 1988
95. Optimal Control Problems
of Hyperbolic Systems with Operator and Nonoperator
Equality Constraints, Applicable Analysis, Vol. 27, pp. 199-215, 1988
96. On the Optimal Control
Problems with Gateaux Differentiable Operator Constraints, Journal of
Mathematical Analysis and Applications, Vol. 130, No. 2, pp. 301-315, 1988
97. Tangent Directions for a
Class of Nonlinear Evolution Equations, Differential and Integral Equations,
Vol.1, No.4, pp.409-422, 1988
98. 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
99. 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
100.
The Extremum Principle for Problems of
Optimal Control with Mixed Constraints, Acta
Universitatis Lodziensis,
Folia Mathematica, No. 2 , pp. 37-59, 1987
101.
Applications of the Method of Contractor Directions to
Optimization Theory, Proceedings of the Conference of Applied
Mathematics, Sielpia, (Poland), pp. 168-173, 1986
102.
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
103.
On Some Specification of the Dubovitskii-Milyutin
Method, Nonlinear Analysis: Theory, Methods and Applications, Vol. 10,
No. 12, pp. 1367-71, 1986
104.
A Necessary Condition for a Problem of Optimal Control with
Equality and Inequality Constraints, Control and Cybernetics, Vol.
14, No. 4, pp. 351-360, 1985
Urszula Ledzewicz / uledzew@siue.edu / Updated: January19, 2010