Existence of periodic solutions for nonlinear evolution equations in Hilbert spaces

Hirano, Norimichi

doi:10.1090/S0002-9939-1994-1174494-8

Existence of periodic solutions for nonlinear evolution equations in Hilbert spaces
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by Norimichi Hirano

Proc. Amer. Math. Soc. 120 (1994), 185-192

DOI: https://doi.org/10.1090/S0002-9939-1994-1174494-8

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Abstract:

In this paper, we consider the existence and multiplicity of periodic solutions of the problem $u’ + Au \ni g(t,u)$ where $A$ is a subdifferential of a convex function defined in a Hilbert space $H$ and $g:R \times H \to H$ is a Carathéodory function periodic with respect to the first variable.

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