Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Periodic solutions and equilibrium states for functional-differential inclusions with nonconvex right-hand side

Authors: Yong Li, Qinde Zhou and Xianrui Lu
Journal: Quart. Appl. Math. 55 (1997), 57-68
MSC: Primary 34K15; Secondary 34A60, 34C25
DOI: https://doi.org/10.1090/qam/1433752
MathSciNet review: MR1433752
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Abstract: In this paper, we present a general existence theorem for periodic solutions for functional differential inclusions with nonconvex right-hand side. As an application, we prove that for a multivalued system with nonconvex right-hand side, permanence implies the existence of a pre-equilibrium state, which answers an open problem proposed by Hutson.

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DOI: https://doi.org/10.1090/qam/1433752
Article copyright: © Copyright 1997 American Mathematical Society

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