A rational recursive sequence
نویسندگان
چکیده
منابع مشابه
on the global asymptotic stability for a rational recursive sequence
the main objective of this paper is to study the boundedness character, the periodicity character, the convergenceand the global stability of the positive solutions of the nonlinear rational difference equation/ , n 0,1,2,....0 01 kii n ikin i n i x x b xwhere the coefficients i i b , , together with the initial conditions ,.... , , 1 0 x x x k are arbitrary...
متن کاملOn the Rational Recursive Sequence
Our main objective is to study some qualitative behavior of the solutions of the difference equation xn+1 = γxn−k + (axn + bxn−k) / (cxn − dxn−k) , n = 0, 1, 2, ..., where the initial conditions x−k,..., x−1, x0 are arbitrary positive real numbers and the coefficients γ, a, b, c and d are positive constants, while k is a positive integer number.
متن کاملOn a (2,2)-rational Recursive Sequence
We investigate the asymptotic behavior of the recursive difference equation yn+1 = (α+ βyn)/(1 + yn−1) when the parameters α < 0 and β ∈ R. In particular, we establish the boundedness and the global stability of solutions for different ranges of the parameters α and β. We also give a summary of results and open questions on the more general recursive sequences yn+1 = (a+ byn)/(A+Byn−1), when th...
متن کاملGlobal asymptotic stability in a rational recursive sequence
In this paper, we study the global stability of the difference equation
متن کاملDynamics and behavior of a higher order rational recursive sequence
* Correspondence: [email protected] Mathematics Department, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia Full list of author information is available at the end of the article Abstract In this article we study the global convergence result, boundedness, and periodicity of solutions of the difference equation xn+1 = axn−s + bxn−l + cxn−k dxn−l + ...
متن کاملذخیره 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: Computers & Mathematics with Applications
سال: 2001
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(00)00274-1