Existence and nonexistence of positive solutions for a class of third order BVP with integral boundary conditions in Banach spaces

This paper investigates the existence, nonexistence, and multiplicity of positive solutions for a class of nonlinear boundary-value problems of third order differential equations with integral boundary conditions in ordered Banach spaces by means of fixed-point principle in cone and the fixed-point...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation Vol. 16; no. 1; pp. 402 - 413
Main Authors: Zhao, Junfang, Wang, Peiguang, Ge, Weigao
Format: Journal Article
Language:English
Published: Elsevier B.V 2011
Subjects:
Banach space
Boundary conditions
Boundary value problems
Boundary-value problem
Differential equations
Fixed-point index theory
Integral boundary condition
Integrals
Mathematical analysis
Mathematical models
Measure of noncompactness
Nonlinearity
Positive solutions
Third order
Boundary-value problem
Fixed-point index theory
Measure of noncompactness
Positive solutions
Third order
Integral boundary condition
ISSN:1007-5704, 1878-7274
Online Access:Get full text
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Summary:This paper investigates the existence, nonexistence, and multiplicity of positive solutions for a class of nonlinear boundary-value problems of third order differential equations with integral boundary conditions in ordered Banach spaces by means of fixed-point principle in cone and the fixed-point index theory for strict set contraction operator. In addition, an example is worked out to demonstrate the main results.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 23
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2009.10.011