Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6826(e) ISSN 0002-9939(p)

On a class of implicit differential inclusions

Author(s): Zouhua Ding
Journal: Proc. Amer. Math. Soc. 124 (1996), 745-749.
MSC (1991): Primary 34A60; Secondary 34A09
MathSciNet review: 1328345
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

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:

[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

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|