Applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spaces

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2021-02-0032

Keywords:

Sequence spaces, Measures of noncompactness, Infinite system of differential equations, Fixed point theory, Meir-Keeler condensing operators

Abstract

The aim of this paper is to study the infinite system of second order differential equations along with the given boundary conditions for its solvability in some integrated sequence spaces. The result is achieved with the analytical tool namely the measure of noncompactness along with the idea of Meir-Keeler condensing operator and provides the realization of the sufficient conditions for the existence results in these Banach Sequence spaces. We also illustrate the results with examples.

Author Biographies

Rituparna Das, Pandu College

Dept. of Mathematics,

Niraj Sapkota, Sikkim Manipal University

Dept. of Mathematics

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Published

2021-03-18

How to Cite

[1]
R. Das and N. Sapkota, “Applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spaces”, Proyecciones (Antofagasta, On line), vol. 40, no. 2, pp. 573-592, Mar. 2021.

Issue

Vol. 40 No. 2 (2021)

Section

Artículos

Copyright (c) 2021 Rituparna Das, Niraj Sapkota

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