Optimal Controls of Nonlinear Evolution Inclusions withPseudomonotone Operator
Received:March 08, 1999  
Key Words: evolution inclusion   set-valued analysis   pseudomonotone operator   upper semicontinuity   support function   parabolic system.  
Fund Project:Supported by the Natural Science Foundation of Guizhou University (200101007)
Author NameAffiliation
ZHANG Zhu-hong Dept. of Math.
Guizhou University
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      In this paper, we study the optimal control problem of nonlinear differentialinclusions with principle operator being pseudomonotone. First, we give some propertiesof solutions of certain evolution equations. Further, we prove the existence of admissibletrajectories for evolution inclusions. Then, we extend the Fillipov's selection theoremand discuss a general Lagrange type optimal control problem. Finally, we present anexample that demonstrates the appplicability of our results.
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