References
- Aubin , JP . 2004 . Boundary-value problems for systems of first order partial differential inclusions . Nonlinear Differ. Equ. Appl. , 7 : 67 – 90 .
- Aubin , JP and Cellina , A . 1984 . Differential Inclusion , Berlin : Springer-Verlag, Grundlehren Math, Wiss .
- Aubin , JP and Frankowska , H . 1990 . Set-Valued Analysis , Boston : Birkhäuser .
- Aubin , JP and Frankowska , H . 1991 . Hyperbolic systems of partial differential inclusions . Annali della Scuola Normale Superiore di Pisa–classe di Scienze Ser. , 4 : 541 – 562 .
- Aubin , JP and Frankowska , H . 1991 . Systems hyperboliques d’inclusions aux derivees partielles . C.R. Acad. Sci. Paris Ser. I , 312 : 271 – 276 .
- Aubin , JP and Frankowska , H . 1995 . Partial differential inclusions governing feedback controls . J. Convex Anal. , 2 : 19 – 40 .
- Aubin , JP and Frankowska , H . 1997 . Set-valued solutions to the Cauchy problem for hyperbolic systems of partial differential inclusions . NoDEA: Nonlinear Differ. Equ. Appl. , 4 : 149 – 168 .
- Cernea , A . 2002 . On the set of solutions of some nonconvex nonclosed hyperbolic differential inclusions . Czechoslovak Math. J. , 52 : 215 – 224 .
- Clarke , FH . 1976 . Optimal solutions to differential inclusions . J. Optimiz. Theory Appl. , 19 : 469 – 478 .
- Demyanov , VF and Vasilev , LV . 1985 . Nondifferentiable Optimization , New York : Optimization Software, Inc., Publications Divisions .
- Ekeland , I and Temam , R . 1974 . Analyse convex et problemes variationelles , Paris : Dunod and Gauthier Villars .
- Gabasov , R and Kirillova , FM . 1974 . Maximum Principle in Theory of Optimal Control , Minsk : Nauka i Teknika .
- Emanuel , Hebey . 2000 . Nonlinear Analysis On Manifold: Sobolev Spaces And Inequalities , 290 American Mathematical Society .
- Ioffe , AD and Tikhomirov , VM . 1978 . Theory of extremal problems, ‘Nauka’, Moscow, 1974 , North Holland, Amsterdam : English Translation .
- Kaplan , W . 1999 . Maxima and Minima with Applications in Practical Optimization and Duality , 284 New York : John Wiley and Sons, Inc .
- Lee , RCH and Yung , S . 1997 . Optimality conditions and duality for a non-linear time delay control problem . Optim. Contr. Appl. Meth. , 18 : 327 – 340 .
- Loewen , PD and Rockafellar , RT . 1997 . Bolza problems with general time constraints . SIAM J. Contr. Optim. , 35 : 2050 – 2069 .
- Loran , PJ . 1973 . Moscow : Approximation and Optimization, Mir . (Russian)
- Lunardi , A . 1989 . “ Existence in the small and in the large in fully non-linear parabolic equations ” . In Proceedings of the International Conference on Theory and Applications of Differential Equations, Ohio University, 1988 , Edited by: Aftabizadeh , R . 170 – 178 . Athens : Ohio University Press .
- Makhmudov , EN and Mahmudov , EN . 1990 . Optimization of discrete inclusions with distributed Parameters , : 197 – 207 . Optimization 21
- Mahmudov , EN . 2005 . On duality in problems of optimal control described by convex differential inclusions of Goursat-Darboux type . J. Math. Anal. Appl. , 307 : 628 – 640 .
- Mahmudov , EN . 2006 . Necessary and sufficent conditions for discrete and differential inclusions of elliptic type . J. Math. Anal. Appl. , 323 : 768 – 789 .
- Makarov , VL and Rubinov , AM . 1973 . The mathematical theory of economic dynamics and equilibrium, ‘Nauka’ , Moscow : English Translation . Springer-Verlag, Berlin, 1977
- Mordukhovich , BS . 1995 . Discrete approximations and refined Euler–Lagrange conditions for nonconvex differential inclusions . SIAM J. Contr. Optim. , 33 : 882 – 915 .
- Mordukhovich , BS . 2006 . “ Grundlehren Series (Fundamental Principles of Mathematical Sciences), Vol. 330 and 331 ” . In Variational Analysis and Generalized Differentiation, I: Basic Theory; II: Applications , Springer .
- Mordukhovic , BS and Wang , L . 2004 . Optimal control of neutral functional-differential inclusions . SIAM J. Contr. Optim. , 43 : 111 – 136 .
- Muller , S and Sychev , MA . 2001 . Optimal existence theorems for nonhomogeneous differential inclusions . J. Func. Anal. , 181 : 447 – 475 .
- Pshenichnyi , BN . 1980 . Convex Analysis and External Problems, ‘Nauka’ Moscow (Russian)
- Rubinov , AM and Yang , XQ . 2003 . Lagrange-Type Functions in constrained Non-convex Optimization , Massachusetts : Kluwer Academic Publishers .
- Subbotin , AI . 2006 . Generalized solutions of partial differantial equations of the first order. The invariance of graphs relative to differential inclusions . J. Math. Sci. , 78 : 594 – 611 .