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 TypeDr GradeEmail
عبدالخالق . عبدالحميدAbdul Hameed, Abdul Khaliq .ResearcherDoctorate 

Files

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 39211.pdf pdf 

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