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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Existence of periodic solutions for nonlinear evolution equations with pseudo monotone operators
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by Naoki Shioji
Proc. Amer. Math. Soc. 125 (1997), 2921-2929
DOI: https://doi.org/10.1090/S0002-9939-97-03984-1

Abstract:

In this paper, we study the existence of $T$-periodic solutions for the problem \[ u’ (t) +A(t)u(t) =0, \quad t\in \mathbb R, \] where $A(t)$ is a $T$-periodic, pseudo monotone mapping from a reflexive Banach space into its dual.
References
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Bibliographic Information
  • Naoki Shioji
  • Affiliation: Faculty of Engineering, Tamagawa University, Tamagawa Gakuen, Machida, Tokyo 194, Japan
  • Email: shioji@eng.tamagawa.ac.jp
  • Received by editor(s): December 19, 1995
  • Received by editor(s) in revised form: April 30, 1996
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 2921-2929
  • MSC (1991): Primary 47H05, 47H17, 47H30, 35B10, 35F25
  • DOI: https://doi.org/10.1090/S0002-9939-97-03984-1
  • MathSciNet review: 1402888