On the existence of periodic solutions for nonconvex-valued differential inclusions in 𝐑^{𝐍}

Hu, Shou Chuan; Papageorgiou, Nikolaos S.

doi:10.1090/S0002-9939-1995-1301503-6

On the existence of periodic solutions for nonconvex-valued differential inclusions in $\mathbf {R}^N$
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by Shou Chuan Hu and Nikolaos S. Papageorgiou PDF

Proc. Amer. Math. Soc. 123 (1995), 3043-3050 Request permission

Abstract:

In this paper we investigate the existence of periodic solutions for differential inclusions with nonconvex-valued orientor field. Using a tangential condition and directionally continuous selectors, we establish the existence of periodic trajectories.

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