The asymptotic solutions of the second order non linear differential equations
Other Title(s)
تقارب حلول المعادلات التفاضلية غير الخطية من الرتبة الثانية
Dissertant
Thesis advisor
Comitee Members
Azar, Layth Imil
Mustafa, Jamal M..
Rawashidah, Idris
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2008
English Abstract
In this thesis, we study the asymptote properties of solutions for certain classes of second order nonlinear differential equations of the forms : (i) (ii) The main purpose is to study when all continuable solutions or just a part of them with initial data satisfying an additional condition behave like nontrivial linear functions , i.e., solutions which approach those of equation .
Making use of Gronwall’s inequality, Bihari's inequality and it's derivatives due to Dannan and methods of fixed point theory.
We study Theorems of asymptotic behavior of solutions of second order nonlinear differential equations, and present the generalizations of these theorems throughout explaining their proofs ; also we introduce examples illustrating the relevance of the theorems discussed.
Main Subjects
No. of Pages
71
Table of Contents
Table of contents.
Abstract.
introduction.
Chapter One : preliminaries.
Chapter Two : the asymptotic behavior of solutions of the equation : u'' = f (t,u) = 0 f.
Chapter Three : the asymptotic behavior of solutions of the equation : u''+ f (t, u, u')= 0.
References.
American Psychological Association (APA)
Saadah, Raniayh Zuhayr. (2008). The asymptotic solutions of the second order non linear differential equations. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-315543
Modern Language Association (MLA)
Saadah, Raniayh Zuhayr. The asymptotic solutions of the second order non linear differential equations. (Master's theses Theses and Dissertations Master). Al albayt University. (2008).
https://search.emarefa.net/detail/BIM-315543
American Medical Association (AMA)
Saadah, Raniayh Zuhayr. (2008). The asymptotic solutions of the second order non linear differential equations. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-315543
Language
English
Data Type
Arab Theses
Record ID
BIM-315543
