Bifurcation solutions of some systems of nonlinear differential equations
Other Title(s)
حلول التفرغ لبعض الأنظمة من المعادلات التفاضلية اللاخطية
Dissertant
Thesis advisor
Abd al-Husayn, Mazhar Abd al-Wahid
University
University of Basrah
Faculty
College of Education for Pure Sciences
Department
Department of Mathematics
University Country
Iraq
Degree
Master
Degree Date
2013
English Abstract
In the present thesis we are interested in the study of bifurcation solutions for a system in nonlinear ordinary differential equation the studies based on the local method of Lyapunov-Schmidt.
We give two examples, the first is a system of nonlinear ordinary differential equation of fourth order and the second is a system of nonlinear ordinary differential equation of second order with small perturbation.
We show that the reduced equations in both systems are systems of three and two nonlinear algebraic equations.
Main Subjects
No. of Pages
57
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Basic definitions and theorems of Banach calculus and bifurcation theory.
Chapter Two : Bifurcation analysis of a system of nonlinear differential equations.
Chapter Three : Bifurcation solutions with small perturbation.
References.
American Psychological Association (APA)
Shanan, Ibrahim Abd Ali. (2013). Bifurcation solutions of some systems of nonlinear differential equations. (ماجستير Theses and Dissertations Master). جامعة البصرة, Iraq
https://search.emarefa.net/detail/BIM-743130
Modern Language Association (MLA)
Shanan, Ibrahim Abd Ali. Bifurcation solutions of some systems of nonlinear differential equations. (ماجستير Theses and Dissertations Master). جامعة البصرة. (2013).
https://search.emarefa.net/detail/BIM-743130
American Medical Association (AMA)
Shanan, Ibrahim Abd Ali. (2013). Bifurcation solutions of some systems of nonlinear differential equations. (ماجستير Theses and Dissertations Master). جامعة البصرة, Iraq
https://search.emarefa.net/detail/BIM-743130
Language
English
Data Type
Arab Theses
Record ID
BIM-743130
