Document Details

Document Type : Thesis 
Document Title :
Qualitative study for solutions of a certain non-linear differntial equation of the fourth-order
دراسة كيفية لحلول معادلة تفاضلية غير خطية من الرتبة الرابعة
 
Subject : Mathematics 
Document Language : Arabic 
Abstract : This thesis is devoted to the study of stability, boundedness and periodicity of solutions for the non-linear differential equation of the fourth-order: X(4) + 11(X,X,X)x + 12(X,X) + 13(X,X) + 14(X) = p(t,x,x,x,x), (*). where 11,/2, la,.f4 and p are real and continuous functions, which satisfy certen conditions. These functions are more general, than those considered by Bereketoglu in 1990. The thesis consists of four chapters. Chapter 1 contains necessary preliminaries. Chapter 2 studies the global asymptotic stability of the trivial solution of equation (*) when p = 0 using the method of Lyapunov function. Chapter 3 investigates the ultimate boundedness of solutions of non-autonomous: differential equation of (*), by constructing Yoshizawa function. . Finally Chapter 4 deals with the problem of the existence of periodic solutions of (*), by applying Schiiffers theorem. The above mentioned results are generalizations of the results obtained by Abou-EI-Ela and Bereketoglu in 1990 
Supervisor : Dr. Ahmed Mohamed Aboualala 
Thesis Type : Master Thesis 
Publishing Year : 1419 AH
1998 AD
 
Added Date : Wednesday, June 11, 2008 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
علي عامر جذنانJznan, Ali AmerResearcherMaster 

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