Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir

In this manuscript we study initial value problems and boundary value problems for a first order ordinary differential equations. We establish the existence of solutions by the Banach Contraction Mapping Principals. Next we present the numerical methods for the above initial value problems, where th...

Full description

Bibliographic Details
Main Author:	Mohd Nasir, Diana Sirmayunie
Format:	Research Reports
Language:	English
Published:	Research Management Institute (RMI) 2010
Subjects:	Difference equations. Functional equations. Delay differential equations. Integral equations
Online Access:	http://ir.uitm.edu.my/id/eprint/26321/ http://ir.uitm.edu.my/id/eprint/26321/1/LP_DIANA%20SIRMA%20YUNIE%20MOHD%20NASIR%20RMI%2010_5.pdf

id	uitm-26321
recordtype	eprints
spelling	uitm-263212019-10-24T09:02:41Z http://ir.uitm.edu.my/id/eprint/26321/ Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir Mohd Nasir, Diana Sirmayunie Difference equations. Functional equations. Delay differential equations. Integral equations In this manuscript we study initial value problems and boundary value problems for a first order ordinary differential equations. We establish the existence of solutions by the Banach Contraction Mapping Principals. Next we present the numerical methods for the above initial value problems, where the numerical comparison between the Euler and Runge-Kutta methods are being investigated. We prove the existence of solutions to the multipoint by Schaeffer fixed point theorem and uniqueness of solutions by the Contraction Mapping Principal. Research Management Institute (RMI) 2010 Research Reports NonPeerReviewed text en http://ir.uitm.edu.my/id/eprint/26321/1/LP_DIANA%20SIRMA%20YUNIE%20MOHD%20NASIR%20RMI%2010_5.pdf Mohd Nasir, Diana Sirmayunie (2010) Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir. [Research Reports] (Unpublished)
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Teknologi MARA
building	UiTM Institutional Repository
collection	Online Access
language	English
topic	Difference equations. Functional equations. Delay differential equations. Integral equations
spellingShingle	Difference equations. Functional equations. Delay differential equations. Integral equations Mohd Nasir, Diana Sirmayunie Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir
description	In this manuscript we study initial value problems and boundary value problems for a first order ordinary differential equations. We establish the existence of solutions by the Banach Contraction Mapping Principals. Next we present the numerical methods for the above initial value problems, where the numerical comparison between the Euler and Runge-Kutta methods are being investigated. We prove the existence of solutions to the multipoint by Schaeffer fixed point theorem and uniqueness of solutions by the Contraction Mapping Principal.
format	Research Reports
author	Mohd Nasir, Diana Sirmayunie
author_facet	Mohd Nasir, Diana Sirmayunie
author_sort	Mohd Nasir, Diana Sirmayunie
title	Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir
title_short	Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir
title_full	Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir
title_fullStr	Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir
title_full_unstemmed	Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir
title_sort	existence of solution to first-order multipoint boundary value problems / diana sirmayunie mohd nasir
publisher	Research Management Institute (RMI)
publishDate	2010
url	http://ir.uitm.edu.my/id/eprint/26321/ http://ir.uitm.edu.my/id/eprint/26321/1/LP_DIANA%20SIRMA%20YUNIE%20MOHD%20NASIR%20RMI%2010_5.pdf
first_indexed	2023-09-18T23:16:40Z
last_indexed	2023-09-18T23:16:40Z
_version_	1777419157740978176

Existence of solution to first-order multipoint boundary value problems / Diana Sirmayunie Mohd Nasir

Similar Items