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
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
Publication date:
10.5.2013.
Visits: 2.030 *