Open AccessSolvability of infinite systems of nonlinear integral equations in two variables by using semi-analytic method
Author(s) -
Anupam Das,
Bipan Hazarika,
H. M. Srivástava,
Mohsen Rabbani,
Reza Arab
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1916375d
Subject(s) - mathematics , banach space , sequence (biology) , nonlinear system , space (punctuation) , mathematical analysis , integral equation , order (exchange) , pure mathematics , linguistics , philosophy , genetics , physics , finance , quantum mechanics , economics , biology
In this article, we generalize and investigate existence of solution for infinite systems of nonlinear integral equations with two variables in a given Banach sequence space BC(R+ x R+,c) using Meir-Keeler condensing and noncompactness. Validity of results are shown with the help of an illustrative example. We also introduce a coupled semi-analytic method in the case of two variables in order to construct an iteration algorithm to find a numerical solution for above-mentioned problem. The numerical results show that the produced sequence for approximating the solution in the examples is in the Banach sequence space BC(R+ x R+,c) itself.