Existence of solutions for some nonlinear integral equations

In this study, we present an existence of solutions for some nonlinear functional- integral equations which include many key integral and functional equations that appear in nonlinear analysis and its applications. By using the techniques of noncompactness measures, we employ the basic fixed point t...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2009-06, Vol.14 (6), p.2559-2564
Main Authors: Maleknejad, K., Nouri, K., Mollapourasl, R.
Format: Article
Language:English
Subjects:
Algebra
Banach algebra
Computer simulation
Darbo condition
Fixed point theorem
Integral equations
Integrals
Mathematical analysis
Mathematical models
Measure of noncompactness
Nonlinear functional-integral equations
Nonlinearity
Theorems
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Summary:In this study, we present an existence of solutions for some nonlinear functional- integral equations which include many key integral and functional equations that appear in nonlinear analysis and its applications. By using the techniques of noncompactness measures, we employ the basic fixed point theorems such as Darbo’s theorem to obtain the mentioned aims in Banach algebra.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2008.10.019