Dynamics of some rational nonlinear difference equations

مقدم أطروحة جامعية

Farahat, Asil Farahat

مشرف أطروحة جامعية

Salih, Muhammad

الجامعة

جامعة بيرزيت

الكلية

كلية الهندسة و التكنولوجيا

القسم الأكاديمي

دائرة علم الحاسوب

دولة الجامعة

فلسطين (الضفة الغربية)

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2007

الملخص الإنجليزي

The main goal of this thesis is to study some methods for solving some rational difference equations.

We study the solution of rational difference equations basing on some approaches and methods that were studied for some other rational equations.

We mainly study the solution of three difference equations.

The first that we study in this thesis is the rational equation ? n + 1 =(a+B xn+ γxn-k)/(Bxn+Cxn-k) N = 0, 1, … (0.0.1) where the parameters a, B, γ,B, C and the initial conditions ?−k, ..., x−1, ?0…..

are positive real numbers, k = {1, 2, 3, …}.

The second equation that has been studied is ? n + 1 =█(@a+B xn+ bxn-k)/( A+ Bxn-k) (0.02) where a, b, A,B are all positive real numbers, k ≥1 is a positive integer, and the initial conditions ?−k, x−?+1, ..., ?0 are nonnegative real numbers.

Finally, we study the equation ?n= A/(xn-k) + B/(xn-3k) (0.0.3) where ?−3k+1, ?−3k+2, ..., ?0 ϵ (0,∞), A, B > 0 and k ∈ {1, 2, 3, 4, ….}.

التخصصات الرئيسية

الرياضيات

عدد الصفحات

100

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-303306