Dynamic equation on time scale with almost periodic coefficients
نویسندگان
چکیده
منابع مشابه
Dynamic Behaviors of an Almost Periodic Volterra Integro Dynamic Equation on Time Scales
This paper is concerned with an almost periodic Volterra integro dynamic equation on time scales. Based on the theory of calculus on time scales, by using differential inequality theory and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence and the global attractivity of the system are obtained. Then, by using the properties of almost periodic func...
متن کاملUniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales
and Applied Analysis 3 A function p : T → R is called regressive provided 1 μ t p t / 0 for all t ∈ T. The set of all regressive and rd-continuous functions p : T → R will be denoted by R R T R T,R . We define the set R R T,R {p ∈ R : 1 μ t p t > 0, for all t ∈ T}. An n × n-matrix-valued function A on a time scale T is called regressive provided I μ t A t is invertible ∀t ∈ T, 2.4 and the class...
متن کاملPseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales
* Correspondence: [email protected]. cn Department of Mathematics, Yunnan University Kunming, Yunnan 650091, People’s Republic of China Abstract In this paper, we first introduce a concept of the mean-value of uniformly almost periodic functions on time scales and give some of its basic properties. Then, we propose a concept of pseudo almost periodic functions on time scales and study some basic pr...
متن کاملPermanence and Uniformly Asymptotic Stability of Almost Periodic Positive Solutions for a Dynamic Commensalism Model on Time Scales
In this paper, we study dynamic commensalism model with nonmonotic functional response, density dependent birth rates on time scales and derive sufficient conditions for the permanence. We also establish the existence and uniform asymptotic stability of unique almost periodic positive solution of the model by using Lyapunov functional method.
متن کاملOn the Reciprocal Difference Equation with Maximum and Periodic Coefficients
We study the nonlinear difference equation xn = max { An xn−1 , Bn xn−2k−1 } , n ∈ N0, where k is any fixed positive integer and the coefficients An,Bn are positive and periodic with the same period 2. The special case when k = 1 has been investigated earlier by Mishev, Patula and Voulov. Here we extend their results to the general case. AMS subject classification: 39A10.
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: Nonautonomous Dynamical Systems
سال: 2020
ISSN: 2353-0626
DOI: 10.1515/msds-2020-0104