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

Omar, Osman (2013) Positive periodic solutions of certain singular non-autonomous difference and differential equations / Osman Omar. Masters thesis, Universiti Teknologi MARA.

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Abstract

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.

Metadata

Item Type: Thesis (Masters)
Creators:
Creators
Email
Omar, Osman
2010250402
Contributors:
Contribution
Name
Email / ID Num.
Thesis advisor
Mohamed, Mesliza (Dr. )
UNSPECIFIED
Subjects: Q Science > QA Mathematics > Equations
Q Science > QA Mathematics > Instruments and machines > Electronic Computers. Computer Science
Q Science > QA Mathematics > Analytic mechanics
Divisions: Universiti Teknologi MARA, Shah Alam > Faculty of Computer and Mathematical Sciences
Programme: Master of Science
Item ID: 44590
Uncontrolled Keywords: non-autonomous, equation, n-dimensional
URI: https://ir.uitm.edu.my/id/eprint/44590

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