ArticleOriginal scientific text

Title

Multiplicity of positive solutions for a nonlinear differential equation with nonlinear boundary conditions

Authors 1, 1

Affiliations

  1. Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, U.S.A.

Abstract

We study the existence and multiplicity of positive solutions of the nonlinear equation u''(x) + λh(x)f(u(x)) = 0 subject to nonlinear boundary conditions. The method of upper and lower solutions and degree theory arguments are used.

Keywords

nonlinear boundary value problems, multiplicity of positive solutions, upper and lower solutions, degree theory

Bibliography

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Pages:
155-165
Main language of publication
English
Received
1997-08-29
Published
1998
Exact and natural sciences