A resonance problem in which the nonlinearity may grow linearly-Reference-Cited by-同舟云学术

A resonance problem in which the nonlinearity may grow linearly

Published:1984 Issue:3 Volume:92 Page:381-384
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ahmad Shair

Abstract

The purpose of this paper is to study a semilinear two point boundary value problem of resonance type in which the nonlinear perturbation may grow linearly. A significant improvement of a recent result due to Cesari and Kannan is given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1984-092-03/S0002-9939-1984-0759657-9/S0002-9939-1984-0759657-9.pdf

Reference7 articles.

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3. Nonlinear perturbations of linear elliptic boundary value problems at resonance;Landesman, E. M.;J. Math. Mech.,1969

4. Characterizations of the ranges of some nonlinear operators and applications to boundary value problems;Brézis, H.;Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4),1978

5. Perturbations of second order linear elliptic problems by nonlinearities without Landesman-Lazer condition;de Figueiredo, Djairo Guedes;Nonlinear Anal.,1979

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