On The Existence of A Unique Solution for Systems of Nonlinear Ordinary Differential Equations of Order m

A. Bojeldain, Abdussalam; E. Muhammed, Saif Alislam

dc.contributor.author	A. Bojeldain, Abdussalam
dc.contributor.author	E. Muhammed, Saif Alislam
dc.date.accessioned	2021-02-10T17:10:37Z
dc.date.available	2021-02-10T17:10:37Z
dc.date.issued	2020-04
dc.identifier.issn	2518-5845
dc.identifier.uri	http://repository.uob.edu.ly/handle/123456789/1472
dc.description.abstract	In this paper, a theorem for local existence of a unique solution for a system of nonlinear ordinary differential equations ( NODE ) of order m has been stated and proved. The proof was done using contractive mapping theorem in a metric space subset of the Banach space consisting of the bounded differentiable functions on the real numbers and equipped with a Bielescki's type norm. As an application of the theory, an example has been given.	en_US
dc.language.iso	other	en_US
dc.publisher	University of Benghazi / Faculty of Education Almarj	en_US
dc.relation.ispartofseries	Journal Libyan Global;47
dc.subject	Banach space of bounded functions	en_US
dc.subject	Bielescki's type norm	en_US
dc.subject	Existence of a unique solution globally	en_US
dc.subject	System of nonlinear ordinary differential equations of order m	en_US
dc.title	On The Existence of A Unique Solution for Systems of Nonlinear Ordinary Differential Equations of Order m	en_US
dc.type	Working Paper	en_US