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

. Deepmala; Hemant Kumar Pathak

Vol. 18 No. 1 (2013)

Regular Articles

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

. Deepmala
Hemant Kumar Pathak

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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.

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