An abstract existence theorem at resonance-Reference-Cited by-同舟云学术

An abstract existence theorem at resonance

Published:1977 Issue:2 Volume:63 Page:221-225
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cesari L.,Kannan R.

Abstract

By Schauder’s fixed point theorem and alternative method (bifurcation theory) an abstract existence theorem at resonance for operational equations is proved which contains as particular cases rather different existence theorems for ordinary and partial differential equations as those of Lazer and Leach and of Landesman and Lazer.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-063-02/S0002-9939-1977-0448180-3/S0002-9939-1977-0448180-3.pdf

Reference11 articles.

1. Alternative methods in nonlinear analysis;Cesari, Lamberto,1975

2. Nonlinear oscillations in the frame of alternative methods;Cesari, Lamberto,1976

3. \bysame, Functional analysis and nonlinear differential equations, Dynamical Systems (Cesari, Kannan and Schuur, editors), Dekker, New York, 1976.

4. An abstract existence theorem across a point of resonance;Cesari, Lamberto,1977

5. Nonlinear oscillations across a point of resonance for nonselfadjoint systems;Cesari, Lamberto;J. Differential Equations,1978

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