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ArticleOriginal scientific text

Title

A topological version of the Ambrosetti-Prodi theorem

Authors 1

Affiliations

  1. Institute of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Abstract

The existence of at least two solutions for nonlinear equations close to semilinear equations at resonance is obtained by the degree theory methods. The same equations have no solutions if one slightly changes the right-hand side. The abstract result is applied to boundary value problems with specific nonlinearities.

Keywords

ENG
multiple solution, resonance, functional-differential equation

Bibliography

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Annales Polonici Mathematici
1996/64/2
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Pages:
121-130
Main language of publication
English
Received
1995-03-20
Published
1996
Exact and natural sciences