Boundary value problem for an infinite system of second order differential equations in $\ell_p$ spaces

Autor:	Ishfaq Ahmad Malik, Tanweer Jalal
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	darbo's fixed point theorem equicontinuous sets infinite system of second order differential equations infinite system of integral equations measures of noncompactness Mathematics QA1-939
Zdroj:	Mathematica Bohemica, Vol 145, Iss 2, Pp 191-204 (2020)
Druh dokumentu:	article
ISSN:	0862-7959 2464-7136
DOI:	10.21136/MB.2019.0086-18
Popis:	The concept of measures of noncompactness is applied to prove the existence of a solution for a boundary value problem for an infinite system of second order differential equations in $\ell_p$ space. We change the boundary value problem into an equivalent system of infinite integral equations and result is obtained by using Darbo's type fixed point theorem. The result is illustrated with help of an example.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/f5836e8ddf624b19a2b59d53fe04f95c Zobrazit plný text záznamu View record in DOAJ