Existence and nonexistence of positive periodic solutions to a differential inclusion

Yuqiang Feng, Ping Tong

Abstract


In this paper, the existence and nonexistence of
positive periodic solutions for a second-order differential
inclusion are considered. Some existence and nonexistence results are established by
the use of Bohnenblust-Karlin's fixed-point theorem for multivalued operators and
Sobolev constant.

Keywords


Differential inclusion; periodic boundary condition; positive solution; Bohnenblust-Karlin's fixed-point theorem

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