THE APPLICATION OF BANACH'S FIXED · POINT THEOREM TO DIFFERENTIAL  EQUATION

SOLOMON, WORKU

dc.contributor.author	SOLOMON, WORKU
dc.date.accessioned	2017-08-29T09:48:38Z
dc.date.available	2017-08-29T09:48:38Z
dc.date.issued	2017-08-29
dc.identifier.uri	http://hdl.handle.net/123456789/7858
dc.description	Project Work Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematics	en_US
dc.description.abstract	The main objective of this project work is to present, the Banach contraction fixed point theorem ' , . and its application to the existence of the solution of differential equations. We shall use Banach's fixed point theorem to prove the famous Picard's theorem which plays a vital role in the theory of ordinary differential equation. The idea of the application is the differential equation will be converted to an integral equation, we defines a mapping T ,and the condition of the theorem will imply that T is a contraction such that its fixed point becomes the solution of our problem	en_US
dc.subject	Mathematics	en_US
dc.title	THE APPLICATION OF BANACH'S FIXED · POINT THEOREM TO DIFFERENTIAL EQUATION	en_US
dc.type	Thesis	en_US