On the existence of periodic solutions for scalar second order differential equations when only the asymptotic behaviour of the potential is known-Reference-Cited by-同舟云学术

On the existence of periodic solutions for scalar second order differential equations when only the asymptotic behaviour of the potential is known

Published:1993 Issue:2 Volume:119 Page:439-445
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Fonda Alessandro

Abstract

Assuming only asymptotic conditions on the potential function, we prove the existence of periodic solutions for equations whose nonlinearity stays below the first curve of Fučik’s spectrum.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-119-02/S0002-9939-1993-1154246-4/S0002-9939-1993-1154246-4.pdf

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4. Time-maps for the solvability of periodically perturbed nonlinear Duffing equations;Ding, Tong Ren;Nonlinear Anal.,1991

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