Upper semicontinuous differential inclusions without convexity
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- by A. Bressan, A. Cellina and G. Colombo PDF
- Proc. Amer. Math. Soc. 106 (1989), 771-775 Request permission
Abstract:
We prove existence of solutions to the Cauchy problem for the differential inclusion $\dot x \in A(x)$, when $A$ is cyclically monotone and upper semi-continuous.References
- Jean-Pierre Aubin and Arrigo Cellina, Differential inclusions, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 264, Springer-Verlag, Berlin, 1984. Set-valued maps and viability theory. MR 755330, DOI 10.1007/978-3-642-69512-4 H. Brézis, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland, Amsterdam, 1973.
- Kôsaku Yosida, Functional analysis, 6th ed., Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 123, Springer-Verlag, Berlin-New York, 1980. MR 617913
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 771-775
- MSC: Primary 34A60; Secondary 49E10
- DOI: https://doi.org/10.1090/S0002-9939-1989-0969314-6
- MathSciNet review: 969314