Existence of solution for some nonlinear two-dimensional Volterra integral equations via measures of noncompactness

M. Kazemi and R. Ezzati

Applied Mathematics and Computation, 2016, vol. 275, issue C, 165-171

Abstract: In this paper, we analyze the existence of solution for two-dimensional nonlinear Volterra integral equations (2DVIE) by using the techniques of measures of noncompactness and Petryshyn fixed point theorem which contains as particular cases a lot of integral and functional-integral equations that arise in nonlinear analysis. Also some illustrative examples are given.

Keywords: Two-dimensional nonlinear integral equations; Measures of noncompactness; Petryshyn fixed point theorem (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:275:y:2016:i:c:p:165-171

DOI: 10.1016/j.amc.2015.11.066

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