In this paper, we consider two-species n-patch almost periodic competitive systemswith diffusion, where one species can diffuse between any two of n patches, but the otheris confined to one of the patches and cannot d...In this paper, we consider two-species n-patch almost periodic competitive systemswith diffusion, where one species can diffuse between any two of n patches, but the otheris confined to one of the patches and cannot diffuse. We prove that the systems can have aunique positive almost periodic solution, which is globally uniformly asymptotically stableunder some appropriate conditions. In particular, if the system is a periodic system of period ω, it can have a positive globally uniformly asymptotically stable periodic solution ofperiod ω, which is a generalization of Theorem 4 in paper [6].展开更多
We consider Lienard system and obtain following conclusions: The zero solution of system x' + f(x)x' + g(x) = 0 is uniformly asymptotically stable if g(0) = 0, and (x) > 0. And system X' + f(x)x' ...We consider Lienard system and obtain following conclusions: The zero solution of system x' + f(x)x' + g(x) = 0 is uniformly asymptotically stable if g(0) = 0, and (x) > 0. And system X' + f(x)x' + g(x) = e(t) has uniformly asymptotically stable solutions if g(0) = 0, and Hence it has a unique almost odic solution when e(t) is almost periodic and it has a unique periodic solution when e(t) is periodic. In [1] Fink obtained above the second conclusion if sup In [2] we obtained same result if g(x) = cx.展开更多
By means of the properties of almost periodic system and Lyapunov function, we give some criteria which guarantee the existence and uniqueness and stability of almost periodic solutions of higher dimensional nonautono...By means of the properties of almost periodic system and Lyapunov function, we give some criteria which guarantee the existence and uniqueness and stability of almost periodic solutions of higher dimensional nonautonomous system. The result is more convenient and effective than the related result in[1].展开更多
In this paper, a new type of stability, namely φ0-strict stability is extended for the delay difference equations, and by using variational cone-valued Lyapunov-like functions some sufficient conditions for such stab...In this paper, a new type of stability, namely φ0-strict stability is extended for the delay difference equations, and by using variational cone-valued Lyapunov-like functions some sufficient conditions for such stability to hold are given.展开更多
This paper studies equation x' + cx' + g(x) = P(t,x). Under some suitable conditions the existence and uniqueness of almost periodic solution of this equation are given.
文摘In this paper, we consider two-species n-patch almost periodic competitive systemswith diffusion, where one species can diffuse between any two of n patches, but the otheris confined to one of the patches and cannot diffuse. We prove that the systems can have aunique positive almost periodic solution, which is globally uniformly asymptotically stableunder some appropriate conditions. In particular, if the system is a periodic system of period ω, it can have a positive globally uniformly asymptotically stable periodic solution ofperiod ω, which is a generalization of Theorem 4 in paper [6].
文摘We consider Lienard system and obtain following conclusions: The zero solution of system x' + f(x)x' + g(x) = 0 is uniformly asymptotically stable if g(0) = 0, and (x) > 0. And system X' + f(x)x' + g(x) = e(t) has uniformly asymptotically stable solutions if g(0) = 0, and Hence it has a unique almost odic solution when e(t) is almost periodic and it has a unique periodic solution when e(t) is periodic. In [1] Fink obtained above the second conclusion if sup In [2] we obtained same result if g(x) = cx.
文摘By means of the properties of almost periodic system and Lyapunov function, we give some criteria which guarantee the existence and uniqueness and stability of almost periodic solutions of higher dimensional nonautonomous system. The result is more convenient and effective than the related result in[1].
基金Supported by National Natural Science Foundation of China(No.10371040).
文摘In this paper, a new type of stability, namely φ0-strict stability is extended for the delay difference equations, and by using variational cone-valued Lyapunov-like functions some sufficient conditions for such stability to hold are given.
基金This work was supported by Fujian Education Department Science Foundation (K20009).
文摘This paper studies equation x' + cx' + g(x) = P(t,x). Under some suitable conditions the existence and uniqueness of almost periodic solution of this equation are given.
