Existence of periodic solutions for nonlinear evolution equations with pseudo monotone operators

Shioji, Naoki

doi:10.1090/S0002-9939-97-03984-1

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ISSN 1088-6826(online) ISSN 0002-9939(print)

Existence of periodic solutions
for nonlinear evolution equations
with pseudo monotone operators

Author: Naoki Shioji
Journal: Proc. Amer. Math. Soc. 125 (1997), 2921-2929
MSC (1991): Primary 47H05, 47H17, 47H30, 35B10, 35F25
MathSciNet review: 1402888
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Abstract: In this paper, we study the existence of $T$ -periodic solutions for the problem

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

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

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