ON FUNCTION AL-DIFFERENTIAL INCLUSIONS WITH STATE CONSTRAINTS

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Published: Sep 1, 1990
DOI: https://doi.org/10.5556/j.tkjm.21.1990.4671
Keywords:
Normal cone upper semicontinuous multifwiction lower semicontinuou·s multifunction selection theorem Gronwall's inequality graph measurability

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NIKOLAOS S. PAPAGEORGIOU
University of California, 1015 Department of Mathematics, Davis, California 95616, U.S.A. and Florida Institute of Technology, Department of Applied Mathematics 150 W. University Bird, Melbourne, Flordia 32901-6988, U.S.A.

Abstract




In this paper we examine differential inclusions with memory and state constrains.We prove two existence theorem. One with nonconvex valued orientor field and the other with a convex valued one. Finally we consider also the problem with no state constraints.




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PAPAGEORGIOU, N. S. (1990). ON FUNCTION AL-DIFFERENTIAL INCLUSIONS WITH STATE CONSTRAINTS. Tamkang Journal of Mathematics, 21(3), 251–259. https://doi.org/10.5556/j.tkjm.21.1990.4671
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Vol. 21 No. 3 (1990)
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Papers
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