Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions

In this paper, by using double fixed point theorem and a new fixed point theorem, some sufficient conditions for the existence of at least two and at least three positive solutions of an nth-order boundary value problem with integral boundary conditions are established, respectively. We also give tw...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 20; no. 2; pp. 188 - 204
Main Authors Karaca, Ilkay Yaslan, Fen, Fatma Tokmak
Format Journal Article
LanguageEnglish
Published Taylor & Francis 04.03.2015
Vilnius Gediminas Technical University
Subjects
Boundary conditions
Boundary value problems
Existence theorems
fixed point theorem
Fixed point theory
integral boundary conditions
Integral equations
Integrals
Mathematical analysis
Mathematical models
Mathematical research
positive solutions
Theorems
positive solutions
integral boundary conditions
boundary value problems
fixed point theorem
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Summary:In this paper, by using double fixed point theorem and a new fixed point theorem, some sufficient conditions for the existence of at least two and at least three positive solutions of an nth-order boundary value problem with integral boundary conditions are established, respectively. We also give two examples to illustrate our main results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2015.1020531