Unbounded perturbations of forced harmonic oscillations at resonance-Reference-Cited by-同舟云学术

Unbounded perturbations of forced harmonic oscillations at resonance

Published:1983 Issue:1 Volume:88 Page:59-66
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ding Tung Ren

Abstract

In 1969, A. C. Lazer and D. E. Leach proved an existence theorem for periodic solutions of Duffing’s equations with bounded perturbations at resonance. In the present note, with the use of a topological technique, the author extended some results of Lazer and Leach to an n n -dimensional Duffing system with unbounded perturbations at resonance.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-088-01/S0002-9939-1983-0691279-X/S0002-9939-1983-0691279-X.pdf

Reference6 articles.

1. On Schauder’s fixed point theorem and forced second-order nonlinear oscillations;Lazer, A. C.;J. Math. Anal. Appl.,1968

2. An extension of a theorem of A. C. Lazer on forced nonlinear oscillations;Mawhin, Jean;J. Math. Anal. Appl.,1972

3. Bounded perturbations of forced harmonic oscillators at resonance;Lazer, A. C.;Ann. Mat. Pura Appl. (4),1969

4. L. Césari, Nonlinear problems across a point of resonance for non-self-adjoint systems, Nonlinear Analysis (A Collection of Papers in Honor of Erich H. Rothe, edited by L. Césari, et al.), Academic Press, New York, 1978.

5. Nonlinear oscillations at a point of resonance;Ding, Tong Ren;Sci. Sinica Ser. A,1982

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