Optimal conditions to ensure the stability of periodic solutions of first order difference equations lying between lower and upper solutions
نویسندگان
چکیده
منابع مشابه
Positive Periodic Solutions of Nonlinear First-Order Functional Difference Equations
Ruyun Ma, Tianlan Chen, and Yanqiong Lu Department of Mathematics, Northwest Normal University, Lanzhou 730070, China Correspondence should be addressed to Ruyun Ma, ruyun [email protected] Received 12 October 2010; Accepted 19 December 2010 Academic Editor: Marko Robnik Copyright q 2010 Ruyun Ma et al. This is an open access article distributed under the Creative Commons Attribution License, which pe...
متن کاملPeriodic Boundary Value Problems and Periodic Solutions of Second Order FDE with Upper and Lower Solutions∗
We use the monotone iterative technique with upper and lower solutions in reversed order to obtain two monotone sequences that converge uniformly to extremal solutions of second order periodic boundary value problems and periodic solutions of functional differential equations(FDEs).
متن کاملExistence of Periodic Solutions for Higher-order Nonlinear Difference Equations
In this article, we study a higher-order nonlinear difference equation. By using critical point theory, we establish sufficient conditions for the existence of periodic solutions.
متن کاملPeriodic Solutions of Second Order Nonlinear Functional Difference Equations
The development of the study of periodic solution of functional difference equations is relatively rapid. There has been many approaches to study periodic solutions of difference equations, such as critical point theory, fixed point theorems in Banach spaces or in cones of Banach spaces, coincidence degree theory, KaplanYorke method, and so on, one may see [3-7,11,13-15] and the references ther...
متن کاملPositive Periodic Solutions of Singular First Order Functional Difference Equation
In this paper, we consider the following singular first order functional difference equation Δx(k) = −a(k)x(k) + λb(k)f(x(k − τ(k))), k ∈ Z where f(.) is singular at x = 0. By using a Kranoselskii fixed point theorem, we will establish the existence and multiplicity of positive periodic solutions for the above problem. The results obtained are new, and some examples are given to illustrate our ...
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: Journal of Computational and Applied Mathematics
سال: 2005
ISSN: 0377-0427
DOI: 10.1016/j.cam.2004.07.007