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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Autores principales: Das,Rituparna, Sapkota,Niraj
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2021
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000200573
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spelling 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
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