Abstract
In this paper, we prove the existence of optimal admissible pairs for a large class of strongly nonlinear evolution equations, involving nonmonotone nonlinearities. An example of a nonlinear parabolic optimal control system is also worked out in detail.
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Communicated by T. S. Angell
The author wishes to thank Professor T. S. Angell for useful comments and suggestions.
This research was supported by NSF Grant No. DMS-88-02688.
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Papageorgiou, N.S. Optimal control of nonlinear evolution equations with nonmonotone nonlinearities. J Optim Theory Appl 77, 643–660 (1993). https://doi.org/10.1007/BF00940454
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DOI: https://doi.org/10.1007/BF00940454