Existence of solutions of a nonlinear differential equation-Reference-Cited by-同舟云学术

Existence of solutions of a nonlinear differential equation

Published:1983 Issue:4 Volume:88 Page:605-613
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

A criterion is proved for the existence of at least one solution to the equation u + u = g ( u ) + h u + u = g(u) + h with u ( 0 ) = u ( π ) = 0 u(0) = u(\pi ) = 0 , where h ∈ L 2 [ 0 , π ] h \in {L_2}[0,\pi ] and g g is continuous monotone nonincreasing.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-088-04/S0002-9939-1983-0702284-9/S0002-9939-1983-0702284-9.pdf

Reference13 articles.

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2. Functional analysis and Galerkin’s method;Cesari, Lamberto;Michigan Math. J.,1964

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4. A nonlinear problem in potential theory;Cesari, Lamberto;Michigan Math. J.,1969

5. Periodic solutions in the large of nonlinear ordinary differential equations;Cesari, Lamberto;Rend. Mat. (6),1975

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