Solvability of infinite systems of nonlinear integral equations in two variables by using semi-analytic method | Zendy

Anupam Das | Zendy; Bipan Hazarika | Zendy; H. M. Srivastava | Zendy; Mohsen Rabbani | Zendy; Reza Arab | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Solvability of infinite systems of nonlinear integral equations in two variables by using semi-analytic method

Author(s) -

Anupam Das,

Bipan Hazarika,

H. M. Srivastava,

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research