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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
Electronic Computers. Computer Science
Analytic mechanics
Online Access:http://ir.uitm.edu.my/id/eprint/44590/1/44590.pdf
http://ir.uitm.edu.my/id/eprint/44590/
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spelling my.uitm.ir.445902021-03-31T06:20:05Z http://ir.uitm.edu.my/id/eprint/44590/ Positive periodic solutions of certain singular non-autonomous difference and differential equations / Osman Omar 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 NonPeerReviewed text en http://ir.uitm.edu.my/id/eprint/44590/1/44590.pdf Omar, Osman (2013) Positive periodic solutions of certain singular non-autonomous difference and differential equations / Osman Omar. Masters thesis, Universiti Teknologi MARA.
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Equations
Electronic Computers. Computer Science
Analytic mechanics
spellingShingle Equations
Electronic Computers. Computer Science
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
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
publishDate 2013
url http://ir.uitm.edu.my/id/eprint/44590/1/44590.pdf
http://ir.uitm.edu.my/id/eprint/44590/
_version_ 1696979133623435264
score 13.211869

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