Title of article
Existence and uniqueness of positive solutions for an integral boundary value problem Original Research Article
Author/Authors
Zhilin Yang، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
9
From page
3910
To page
3918
Abstract
This paper deals with the existence and uniqueness of positive solutions for the second-order integral boundary value problem
View the MathML source{u″+f(u)=0,u(0)=∫01u(τ)dα(τ),u(1)=∫01u(τ)dβ(τ),
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where f∈C(R,R)f∈C(R,R) is sign-changing. The main tools used in the proofs are the a priori estimate method and the Leray–Schauder fixed point theorem.
Keywords
positive solution , strong maximum principle , Uniqueness , a priori estimate
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860660
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