| 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.
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| Fund Project:Supported by the Natural Science Foundation of Guizhou University (200101007) |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2002.02.012 |
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