Applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spaces
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 i...
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Universidad Católica del Norte, Departamento de Matemáticas
2021
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oai:scielo:S0716-091720210002005732021-04-03Applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spacesDas,RituparnaSapkota,Niraj 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.40 n.2 20212021-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200573en10.22199/issn.0717-6279-2021-02-0032 |
institution |
Scielo Chile |
collection |
Scielo Chile |
language |
English |
topic |
Sequence spaces Measures of noncompactness Infinite system of differential equations Fixed point theory Meir-Keeler condensing operators |
spellingShingle |
Sequence spaces Measures of noncompactness Infinite system of differential equations Fixed point theory Meir-Keeler condensing operators Das,Rituparna Sapkota,Niraj Applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spaces |
description |
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 |
Das,Rituparna Sapkota,Niraj |
author_facet |
Das,Rituparna Sapkota,Niraj |
author_sort |
Das,Rituparna |
title |
Applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spaces |
title_short |
Applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spaces |
title_full |
Applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spaces |
title_fullStr |
Applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spaces |
title_full_unstemmed |
Applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spaces |
title_sort |
applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spaces |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2021 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200573 |
work_keys_str_mv |
AT dasrituparna applicationsofmeasureofnoncompactnessforthesolvabilityofaninfinitesystemofsecondorderdifferentialequationsinsomeintegratedsequencespaces AT sapkotaniraj applicationsofmeasureofnoncompactnessforthesolvabilityofaninfinitesystemofsecondorderdifferentialequationsinsomeintegratedsequencespaces |
_version_ |
1718439901286891520 |