Application of measure of noncompactness to infinite systems of differential equations in \(\ell_p\) spaces
type: Item
instance of: scholarly article
title: Application of measure of noncompactness to infinite systems of differential equations in \(\ell_p\) spaces
zbMATH Open document ID: 1447.34022
author: Ishfaq Ahmad Malik
author: Tanweer Jalal
publication date: 2020-07-03T00:00:00Z
review text: Using techniques associated with measures of noncompactness, the authors give conditions for the existence of solutions for the infinite system of second-order differential equations of the type \[ t\frac{d^2v_j}{dt^2}+\frac{dv_j}{dt}=f_j(t,v(t)),\;v_j(1)=v_j(T)=0, \] whith \(v(t)=(v_j(t))^{\infty}_{j=1}\) in the Banach sequence space \(\ell_p\), \(p\geq1\). The result is illustrated with a suitable example.
reviewed by: Caidi Zhao
Mathematics Subject Classification ID: 34A35
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7217850
zbMATH Keywords: Darbo's fixed point theorem
zbMATH Keywords: equicontinuous sets
zbMATH Keywords: infinite system of second-order differential equations
zbMATH Keywords: infinite system of integral equations
zbMATH Keywords: measures of noncompactness
MaRDI profile type: Publication
full work available at URL: s12215-019-00411-6
OpenAlex ID: W2942288541
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DOI: 10.1007/S12215-019-00411-6
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 7217850