Solvability of an infinite system of three point BVP in c0 and ℓ1 spaces using measure of noncompactness-Reference-Cited by-同舟云学术

Solvability of an infinite system of three point BVP in c0 and ℓ1 spaces using measure of noncompactness

Published:2023-08-28 Issue:10 Volume:16 Page:
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Das Rituparna¹^ORCID,Sapkota Niraj²^ORCID,Savapondit Santonu²^ORCID

Affiliation:

1. Department of Mathematics, Pandu College, Pandu, Guwahati 781012, India

2. Department of Mathematics, Sikkim Manipal Institute of Technology, Sikkim Manipal University, Sikkim 737136, India

Abstract

Various existing works in the literature have addressed the solvability of different infinite systems of boundary value problems in different types of Banach spaces. In most of these works, the authors have restricted themselves in systems of differential equations with boundary conditions defined at two points. In this work, we have addressed the solvability of an infinite system of third-order differential equations with boundary conditions defined at three points in the sequence spaces [Formula: see text] and [Formula: see text]. We have also illustrated the results for both sequence spaces with suitable examples.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557123501905

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