Positive periodic solutions of certain singular non-autonomous difference and differential equations / Osman Omar

This thesis is concerned with the study of singular non-autonomous first order difference equation for a single equation and n-dimensional systems with a positive parameter. The study also involves singular non-autonomous first order differential equations for n-dimensional systems with delay and a...

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Main Author:	Omar, Osman
Format:	Thesis
Language:	English
Published:	2013
Subjects:	Equations Analytic mechanics
Online Access:	https://ir.uitm.edu.my/id/eprint/44590/1/44590.pdf
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id	my-uitm-ir.44590
record_format	uketd_dc
spelling	my-uitm-ir.445902021-03-31T06:20:05Z Positive periodic solutions of certain singular non-autonomous difference and differential equations / Osman Omar 2013-05 Omar, Osman Equations Electronic Computers. Computer Science Analytic mechanics This thesis is concerned with the study of singular non-autonomous first order difference equation for a single equation and n-dimensional systems with a positive parameter. The study also involves singular non-autonomous first order differential equations for n-dimensional systems with delay and a positive parameter. Sufficient conditions for the existence and multiplicity of positive periodic solutions for singular first order functional differential and difference equations under various assumptions are presented. First, we employ Kranoselskii fixed point theorem and obtain sufficient conditions for the existence and multiplicity of positive periodic solutions to a scalar singular first order difference equation with a positive parameter. Next, we investigate the existence and multiplicity of positive periodic solutions for singular first order non-autonomous systems of difference equations with a positive parameter by applying the Kranoselskii fixed point theorem. Finally, we apply a fixed point index theorem to study the existence, multiplicity and nonexistence of positive periodic solutions with a positive parameter to nonlinear singular systems of first order functional differential equations. 2013-05 Thesis https://ir.uitm.edu.my/id/eprint/44590/ https://ir.uitm.edu.my/id/eprint/44590/1/44590.pdf text en public masters Universiti Teknologi MARA Faculty of Computer & Mathematical Sciences Mohamed, Mesliza (Dr. )
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Mohamed, Mesliza (Dr. )
topic	Equations Equations Analytic mechanics
spellingShingle	Equations Equations Analytic mechanics Omar, Osman Positive periodic solutions of certain singular non-autonomous difference and differential equations / Osman Omar
description	This thesis is concerned with the study of singular non-autonomous first order difference equation for a single equation and n-dimensional systems with a positive parameter. The study also involves singular non-autonomous first order differential equations for n-dimensional systems with delay and a positive parameter. Sufficient conditions for the existence and multiplicity of positive periodic solutions for singular first order functional differential and difference equations under various assumptions are presented. First, we employ Kranoselskii fixed point theorem and obtain sufficient conditions for the existence and multiplicity of positive periodic solutions to a scalar singular first order difference equation with a positive parameter. Next, we investigate the existence and multiplicity of positive periodic solutions for singular first order non-autonomous systems of difference equations with a positive parameter by applying the Kranoselskii fixed point theorem. Finally, we apply a fixed point index theorem to study the existence, multiplicity and nonexistence of positive periodic solutions with a positive parameter to nonlinear singular systems of first order functional differential equations.
format	Thesis
qualification_level	Master's degree
author	Omar, Osman
author_facet	Omar, Osman
author_sort	Omar, Osman
title	Positive periodic solutions of certain singular non-autonomous difference and differential equations / Osman Omar
title_short	Positive periodic solutions of certain singular non-autonomous difference and differential equations / Osman Omar
title_full	Positive periodic solutions of certain singular non-autonomous difference and differential equations / Osman Omar
title_fullStr	Positive periodic solutions of certain singular non-autonomous difference and differential equations / Osman Omar
title_full_unstemmed	Positive periodic solutions of certain singular non-autonomous difference and differential equations / Osman Omar
title_sort	positive periodic solutions of certain singular non-autonomous difference and differential equations / osman omar
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer & Mathematical Sciences
publishDate	2013
url	https://ir.uitm.edu.my/id/eprint/44590/1/44590.pdf
_version_	1783734721854832640

Positive periodic solutions of certain singular non-autonomous difference and differential equations / Osman Omar

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