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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
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 | References | Similar Articles | Additional Information

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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Additional Information

Naoki Shioji
Affiliation: Faculty of Engineering, Tamagawa University, Tamagawa Gakuen, Machida, Tokyo 194, Japan
Email: shioji@eng.tamagawa.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03984-1
PII: S 0002-9939(97)03984-1
Keywords: Evolution equations, pseudo monotone operators, periodic solutions
Received by editor(s): December 19, 1995
Received by editor(s) in revised form: April 30, 1996
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society