Existence, uniqueness, and stability of oscillations in differential equations with asymmetric nonlinearities-Reference-Cited by-同舟云学术

Existence, uniqueness, and stability of oscillations in differential equations with asymmetric nonlinearities

Published:1989 Issue:2 Volume:315 Page:721-739
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Lazer A. C.,McKenna P. J.

Abstract

We give conditions for the existence, uniqueness, and asymptotic stability of periodic solutions of a second-order differential equation with piecewise linear restoring and 2 π 2\pi -periodic forcing where the range of the derivative of the restoring term possibly contains the square of an integer. With suitable restrictions on the restoring and forcing in the undamped case, we give a necessary and sufficient condition.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1989-315-02/S0002-9947-1989-0979963-1/S0002-9947-1989-0979963-1.pdf

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