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Mathematical Communications, Vol. 18 No. 1, 2013.

Original scientific paper

Study on existence of solutions for some nonlinear functional-integral equations with applications

Deepmala ; School of Studies in Mathematics, Pt.Ravishankar Shukla University, Raipur (C.G.),India
Hemant Kumar Pathak ; School of Studies in Mathematics, Pt.Ravishankar Shukla University, Raipur (C.G.),India

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Abstract

In this paper, using the technique of measure of noncompactness in Banach algebra, we prove an existence theorem for a nonlinear integral equation which contains as particular cases a lot of integral and functional-integral equations considered in nonlinear
analysis and its applications. Our claim is also illustrated with the applications to some nonlinear functional-integral equation for proving the existence results.

Keywords

Banach algebra; fixed point; functional-integral equation; measure of non-compactness

Hrčak ID:

101403

URI

https://hrcak.srce.hr/101403

Publication date:

10.5.2013.

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