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Existence of periodic solutions for nonlinear evolution equations with pseudo monotone operators
Authors:Naoki Shioji
Affiliation:Faculty of Engineering, Tamagawa University, Tamagawa Gakuen, Machida, Tokyo 194, Japan
Abstract:In this paper, we study the existence of $T$-periodic solutions for the problem

begin{displaymath}u' (t) +A(t)u(t) =0, quad tin mathbb R, end{displaymath}

where $A(t)$ is a $T$-periodic, pseudo monotone mapping from a reflexive Banach space into its dual.

Keywords:Evolution equations   pseudo monotone operators   periodic solutions
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