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Deanship of Graduate Studies
Document Details
Document Type
:
Thesis
Document Title
:
Dynamics and Existence of Solutions of Some Nonlinear Difference Equations
سلوك ووجود الحلول لبعض المعادلات الفرقية الغير خطية
Subject
:
Faculty of Sciences > mathematics department
Document Language
:
Arabic
Abstract
:
In this thesis, we study three topics within the broad field of nonlinear recurrences. First Study the existence of the solutions of some rational difference equations. Investigate some dynamics of some difference equations such as the boundedness, local stability, global stability and periodicity. We investigate the global character of solutions of the difference equations with positive parameters. In particular we show that the solutions of the equations are bounded and periodic. We have found necessary conditions for the global asymptotic stability of the zero equilibrium. Secondly we investigated some special cases of the difference equations finding its expression and periodic nature. Obtain and study the form of the solution of some difference equations and systems of difference equations. Lastly, performing numerical solutions of the equations and systems under consideration. Showing some of the obtained numerical results graphically to explain the behavior of the solutions by using some mathematical programming such as Matlab.
Supervisor
:
dr.Elsayed. M. Elsayed
Thesis Type
:
Doctorate Thesis
Publishing Year
:
1437 AH
2016 AD
Added Date
:
Wednesday, June 8, 2016
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
عبدالخالق . عبدالحميد
Abdul Hameed, Abdul Khaliq .
Researcher
Doctorate
Files
File Name
Type
Description
39211.pdf
pdf
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