Global Asymptotic Stability of a Family of Nonlinear Difference Equations

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Asymptotic Stability for a Class of Nonlinear Difference Equations

1 College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China 2 Key Laboratory of Network Control & Intelligent Instrument, Chongqing University of Posts and Telecommunications, Ministry of Education, Chongqing 400065, China 3 College of Applied Sciences, Beijing University of Technology, Beijing 100124, China 4 School of Communication and I...

متن کامل

Global Asymptotic Stability in a Class of Difference Equations

We study the difference equation xn = [( f × g1 + g2 +h)/(g1 + f × g2 +h)](xn−1, . . . ,xn−r), n = 1,2, . . . , x1−r , . . . ,x0 > 0, where f ,g1,g2 : (R+) → R+ and h : (R+) → [0,+∞) are all continuous functions, and min1≤i≤r{ui,1/ui} ≤ f (u1, . . . ,ur) ≤ max1≤i≤r{ui,1/ui}, (u1, . . . ,ur) T ∈ (R+) . We prove that this difference equation admits c = 1 as the globally asymptotically stable equi...

متن کامل

İbrahim Yalcinkaya and Cengiz Çinar GLOBAL ASYMPTOTIC STABILITY OF A SYSTEM OF TWO NONLINEAR DIFFERENCE EQUATIONS

In this paper a sufficient condition is obtained for the global asmptotic stability of the following system of difference equations zn+1 = tn + zn−1 tnzn−1 + a , tn+1 = zn + tn−1 zntn−1 + a , n = 0, 1, 2, ... where the parameter a (0,∞) and the initial values (zk, tk) (0,∞) (for k = −1, 0).

متن کامل

Stability of Solutions for a Family of Nonlinear Difference Equations

We consider the family of nonlinear difference equations: xn 1 ∑ 3 i 1fi xn, . . . , xn−k f4 xn, . . . , xn−k f5 xn, . . . , xn−k / f1 xn, . . . , xn−k f2 xn, . . . , xn−k ∑ 5 i 3fi xn, . . . , xn−k , n 0, 1, . . . , where fi ∈ C 0, ∞ k , 0, ∞ , for i ∈ {1, 2, 4, 5}, f3 ∈ C 0, ∞ k , 0, ∞ , k ∈ {1, 2, . . . } and the initial values x−k, x−k 1, . . . , x0 ∈ 0, ∞ . We give sufficient conditions un...

متن کامل

Global Asymptotic Stability for a Class of Nonlinear Chemical Equations

We consider a class of nonlinear differential equations that arises in the study of chemical reaction systems known to be locally asymptotically stable and prove that they are in fact globally asymptotically stable. More specifically, we will consider chemical reaction systems that are weakly reversible, have a deficiency of zero, and are equipped with mass action kinetics. We show that if for ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Discrete Dynamics in Nature and Society

سال: 2013

ISSN: 1026-0226,1607-887X

DOI: 10.1155/2013/750852