Paths and cycles in digraphs
Dissertant
Thesis advisor
Comitee Members
al-Uqayli, Marwan M.
al-Takhman, Khalid
University
Birzeit University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2011
English Abstract
In this thesis we will investigate the dynamical behavior of the following rational di erence equation ? n +1) = ( (a+B xn)+γxn-k)/(A+B xn+Cxn-k) where the parametersa, β,γ and A, B, C and the initial conditions ?- k, …, ?-1, ?0 are non-negative real numbers, and the denominator is nonzero. Our concentration here, is on the global stability, the periodic character, the analysis of semi-cycles and the invariant intervals of the positive solution of the above equation It is worth to mention that our divergence equation is the general case of the rational equation which is studied by Kulenvic and Ladas in their monograph (Dynamics of Second Order Rational Deference Equation with Open Problems and Conjectures, 2002).
Main Subjects
Topics
No. of Pages
64
Table of Contents
Table of contents.
Abstract.
Chapter one : Preliminaries.
Chapter two : Caccetta-haggkvist conjecture.
Chapter three : C-H conjecture for k = 3.
Chapter four : C-H conjecture for k = 5.
References.
American Psychological Association (APA)
Zayd, Saddam. (2011). Paths and cycles in digraphs. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-303583
Modern Language Association (MLA)
Zayd, Saddam. Paths and cycles in digraphs. (Master's theses Theses and Dissertations Master). Birzeit University. (2011).
https://search.emarefa.net/detail/BIM-303583
American Medical Association (AMA)
Zayd, Saddam. (2011). Paths and cycles in digraphs. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-303583
Language
English
Data Type
Arab Theses
Record ID
BIM-303583
