Measures of noncompactness in the Banach space BC(R+ × R+, E) and its application to infinite system of integral equation in two variables-Reference-Cited by-同舟云学术

Measures of noncompactness in the Banach space BC(R+ × R+, E) and its application to infinite system of integral equation in two variables

Published:2023 Issue:12 Volume:37 Page:3791-3817
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Jalal Tanweer¹,Jan Asif¹

Affiliation:

1. Department of Mathematics, National Institute of Technology, Hazratbal, Srinagar, J and K, India

Abstract

The purpose of this paper is to study the existence of solutions to an infinite system of Volterra-Hammerstein type nonlinear integral equations in two variables in Banach space BC(R+ ? R+, E) using functions that are defined, continuous and bounded on R+ ? R+, taking values in a given Banach space E. The method used in our research is linked to the creation of a suitable measure of noncompactness in the space of functions defined, continuous and bounded on R+ ? R+ with values in the space ?? consisting of real bounded sequences endowed with the standard supremum norm. An example exemplifies our investigations.

Publisher

National Library of Serbia

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