The authors discuss the existence of pseudo almost periodic solutions of differential equations with piecewise constant argument by means of introducing new concept, pseudo almost periodic sequence.
This paper presents some existence theorems on almost periodic solutions for almost periodicneutral functional differential equation and its perturbed systems by means of Liapunov functional, and extends the correspon...This paper presents some existence theorems on almost periodic solutions for almost periodicneutral functional differential equation and its perturbed systems by means of Liapunov functional, and extends the corresponding results in 12,4,5,10,11].展开更多
By means of the fixed point theorem and exponential dichotomy, in this paper we investigate the existence of almost periodic solutions to a class of ndimensional almost periodic systems, which is more general than the...By means of the fixed point theorem and exponential dichotomy, in this paper we investigate the existence of almost periodic solutions to a class of ndimensional almost periodic systems, which is more general than the systems in [1-2]. We generalize and improve some results in [3].展开更多
In this paper, we consider a nonautonomous multispecies competition-predator system with Holling＇s type Ⅲ functional response. The coexistence of the system, under some conditions, is obtained. Furthermore, using Ly...In this paper, we consider a nonautonomous multispecies competition-predator system with Holling＇s type Ⅲ functional response. The coexistence of the system, under some conditions, is obtained. Furthermore, using Lyapunov function, we show that the system has a strictly positive almost periodic solution which is globally asymptotically stable.展开更多
文摘The authors discuss the existence of pseudo almost periodic solutions of differential equations with piecewise constant argument by means of introducing new concept, pseudo almost periodic sequence.
文摘This paper presents some existence theorems on almost periodic solutions for almost periodicneutral functional differential equation and its perturbed systems by means of Liapunov functional, and extends the corresponding results in 12,4,5,10,11].
基金The work is supported by the Natural Sciences Foundation of Hunan Province under Grant 03JJY3014 and the Item of the Government of Science and Technology of Yonezhou.
文摘By means of the fixed point theorem and exponential dichotomy, in this paper we investigate the existence of almost periodic solutions to a class of ndimensional almost periodic systems, which is more general than the systems in [1-2]. We generalize and improve some results in [3].
基金Project supported by the National Natural Science Foundation of China (No.10171010) the Key Project on Science and Technology of the Education Ministry of People's Republic of China (No. Key 01061).
文摘In this paper, we consider a nonautonomous multispecies competition-predator system with Holling＇s type Ⅲ functional response. The coexistence of the system, under some conditions, is obtained. Furthermore, using Lyapunov function, we show that the system has a strictly positive almost periodic solution which is globally asymptotically stable.
