Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces

This paper investigates the multiplicity of positive solutions for a class of nonlinear boundary-value problems of fourth-order differential equations with integral boundary conditions in ordered Banach spaces. The arguments are based upon a specially constructed cone and the fixed point index theor...

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Bibliographic Details
Published in:Nonlinear analysis Vol. 69; no. 10; pp. 3310 - 3321
Main Authors: Zhang, Xuemei, Feng, Meiqiang, Ge, Weigao
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Ltd 15.11.2008
Elsevier
Subjects:
Boundary-value problem
Exact sciences and technology
Existence
Fixed point index theory
Functional analysis
Global analysis, analysis on manifolds
Mathematical analysis
Mathematics
Measure of noncompactness
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Positive solution
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Boundary-value problem
34B15
Measure of noncompactness
Existence
Positive solution
Fixed point index theory
Nonlinear analysis
Nonlinear problems
Banach space
Measure noncompactness
Fix point
Boundary value problem
Mathematical model
ISSN:0362-546X, 1873-5215
Online Access:Get full text
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Summary:This paper investigates the multiplicity of positive solutions for a class of nonlinear boundary-value problems of fourth-order differential equations with integral boundary conditions in ordered Banach spaces. The arguments are based upon a specially constructed cone and the fixed point index theory in cone for strict set contraction operator. The nonexistence of positive solution is also studied. Meanwhile, an example is worked out to demonstrate the main results.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2007.09.020