Application of a lemma on bilinear forms to a problem in nonlinear oscillations-Reference-Cited by-同舟云学术

Application of a lemma on bilinear forms to a problem in nonlinear oscillations

Published:1972 Issue:1 Volume:33 Page:89-94
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lazer A. C.

Abstract

In this note we give a simple condition for nondegeneracy of symmetric bilinear forms on infinite dimensional vector spaces. We apply this condition and elementary properties of Fourier series to prove a uniqueness theorem for periodic solutions of a class of second order nonlinear differential systems.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1972-033-01/S0002-9939-1972-0293179-9/S0002-9939-1972-0293179-9.pdf

Reference5 articles.

1. Nonlinear integral equations of the Hammerstein type;Dolph, C. L.;Trans. Amer. Math. Soc.,1949

2. \bysame, Analysis. II, Addison-Wesley, Reading, Mass., 1969.

3. On periodically perturbed conservative systems;Lazer, A. C.;Michigan Math. J.,1969

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