Periodic solutions for some partial functional differential equations

Rachid Benkhalti and Khalil Ezzinbi

International Journal of Stochastic Analysis, 2004, vol. 2004, 1-10

Abstract:

We study the existence of a periodic solution for some partial functional differential equations. We assume that the linear part is nondensely defined and satisfies the Hille-Yosida condition. In the nonhomogeneous linear case, we prove the existence of a periodic solution under the existence of a bounded solution. In the nonlinear case, using a fixed-point theorem concerning set-valued maps, we establish the existence of a periodic solution.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:731201

DOI: 10.1155/S1048953304212011

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