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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Periodically perturbed nonconservative systems of Liénard type
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by M. N. Nkashama PDF
Proc. Amer. Math. Soc. 111 (1991), 677-682 Request permission

Abstract:

We give sufficient conditions for the solvability of forced, strongly coupled nonlinear vector Liénard equations. These conditions guarantee the existence of periodic solutions for any forcing term. They include sublinear as well as superlinear nonlinearities. They do not require the symmetry of the restoring term. The method of proof makes use of Leray-Schauder degree.
References
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 677-682
  • MSC: Primary 34C25; Secondary 34B15, 34C15, 70K40
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1057959-6
  • MathSciNet review: 1057959