GLOBAL ATTRACTIVITY OF SOLUTIONS OF
NONLINEAR FUNCTIONAL INTEGRAL
EQUATIONS IN TWO VARIABLES
Anupam Das1, Bipan Hazarika1,2,
John R. Graef3, Ravi P. Agarwal4
1 Department of Mathematics, Rajiv Gandhi University
Rono Hills Doimukh-791112
Arunachal Pradesh, INDIA
2 Department of Mathematics, Gauhati University
Guwahati 781014, Assam, INDIA
3 Department of Mathematics
University of Tennessee at Chattanooga
Chattanooga, TN 37403, USA
4 Department of Mathematics, Texas A & M University
Kingsville, Texas 78363-8202, USA

Abstract

The purpose of this paper is to established a generalization of Darbo's fixed point theorem and some new results on the existence and global attractivity of solution of functional integral equations in two variables by using this fixed point theorem and a measure of noncompactness. An example illustrating the results is also given.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 1
Year: 2020

DOI: 10.12732/ijam.v33i1.13

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