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On a class of implicit differential inclusions

Author: Zouhua Ding
Journal: Proc. Amer. Math. Soc. 124 (1996), 745-749
MSC (1991): Primary 34A60; Secondary 34A09
MathSciNet review: 1328345
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Abstract: The existence of solutions is established for implicit differential inclusions $M(x')+C(x)\owns 0$ in $R^n$ involving the sum of a maximal monotone mapping $M$ and an upper semicontinuous mapping $C$ with compact, closed values. A question of Wenzel is answered in the affirmative.

References [Enhancements On Off] (What's this?)

  • [1] G. Wenzel, On a class of implicit differential inclusions, J. Diff. Eq. 63 (1986), 162-182. MR 87i:34015
  • [2] J. P. Aubin and A. Cellina, Differential Inclusions, Springer-Verlag, 1984. MR 85j:49010
  • [3] C. J. Himmelberg and F. S. Van Vleck, A note on the solution sets of differential inclusions, Rocky Mountain J. of Math. 12 (1982), 621-625. MR 84b:34019

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Additional Information

Zouhua Ding
Affiliation: Department of Mathematics, University of South Florida, Tampa, Florida 33620-5700

Keywords: Maximal monotone operator, upper semicontinuous function, implicit differential inclusion
Received by editor(s): September 1, 1992
Received by editor(s) in revised form: March 1, 1994
Communicated by: Dale Alspach
Article copyright: © Copyright 1996 American Mathematical Society

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