Positive Solutions of the Semipositone Neumann Boundary Value Problem

In this paper we consider the Neumann boundary value problem at resonance We assume that the nonlinear term satisfies the inequality , , where , and The problem is transformed into a non-resonant positone problem and positive solutions are obtained by means of a Guo-Krasnosel'ski˘ı fixed point...

Full description

Saved in:
Bibliographic Details
Published inMathematical modelling and analysis Vol. 20; no. 5; pp. 578 - 584
Main Authors Henderson, Johnny, Kosmatov, Nickolai
Format Journal Article
LanguageEnglish
Published Taylor & Francis 03.09.2015
Vilnius Gediminas Technical University
Subjects
Boundary value problems
Inequalities
Mathematical analysis
Mathematical models
Mathematical research
Neumann boundary condition
Neumann boundary conditions
Nonlinearity
resonanc
resonance
semipositon
semipositone
Theorems
Neumann boundary condition
semipositon
resonanc
Online AccessGet full text

Cover

More Information
Summary:In this paper we consider the Neumann boundary value problem at resonance We assume that the nonlinear term satisfies the inequality , , where , and The problem is transformed into a non-resonant positone problem and positive solutions are obtained by means of a Guo-Krasnosel'ski˘ı fixed point theorem.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2015.1087435