共查询到20条相似文献,搜索用时 671 毫秒
1.
Daxiong Piao 《中国科学A辑(英文版)》2001,44(9):1156-1161
In this paper, we investigate the existence and uniqueness of new almost periodic type solutions, so-called pseudo almost
periodic solutions for the systems of differential equations with piecewise constant argument by means of introducing the
notion of pseudo almost periodic vector sequences 相似文献
2.
PIAO Daxiong 《中国科学A辑(英文版)》2001,44(9)
In this paper, we investigate the existence and uniqueness of new almost periodic type solutions, so-called pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument by means of introducing the notion of pseudo almost periodic vector sequences. 相似文献
3.
YUAN Rong 《中国科学A辑(英文版)》2000,43(4):371-383
A definition of pseudo almost periodic sequence is given and the existence of pseudo almost periodic sequence to difference
equation is studied. Based on these, the existence of pseudo almost periodic solutions to neutral delay differential equations
with piecewise constant argument is investigated 相似文献
4.
《Applied Mathematics Letters》2000,13(2):131-137
The existence of almost periodic, asymptotically almost periodic, and pseudo almost periodic solutions of differential equations with piecewise constant argument is characterized in terms of almost periodic, asymptotically, and pseudo almost periodic sequences. Thus Meisters's and Opial's theorems are extended. 相似文献
5.
利用伪概周期函数唯一分解性质,研究相关差分方程的伪概周期序列解,并以此为工具得出一类带逐段常变量微分方程伪概周期解的存在唯一性. 相似文献
6.
袁荣 《中国科学A辑(英文版)》2002,45(4):484-502
A new class of ergodic sequences, pseudo almost periodic sequence, is introduced, and the existence of pseudo almost periodic
sequence to difference equation is studied. Based on these, we investigate the existence of pseudo almost periodic solutions
for a nonautonomous, singularly perturbed differential equations with piecewise constant argument. 相似文献
7.
Weighted pseudo‐almost periodic functions on time scales with applications to cellular neural networks with discrete delays 下载免费PDF全文
In this paper, we first propose a concept of weighted pseudo‐almost periodic functions on time scales and study some basic properties of weighted pseudo‐almost periodic functions on time scales. Then, we establish some results about the existence of weighted pseudo‐almost periodic solutions to linear dynamic equations on time scales. Finally, as an application of our results, we study the existence and global exponential stability of weighted pseudo‐almost periodic solutions for a class of cellular neural networks with discrete delays on time scales. The results of this paper are completely new. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
8.
PSEUDO ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH
PIECEWISE CONSTANT ARGUMENT 总被引:7,自引:0,他引:7
51.IntroductionDifferentialequationswithpiecewiseconstantarguments(DEPCA)candescribehybriddynandcalsystemsandthereforecombinepropertiesofbothdtherentialequationsanddifferenceeqllations.Theyhaveapplicationsincertainbiomedicalmodels[1].In[2,3]andthereferencesthereintherehavebeenalotofresultsconcerningDEPCA.Nevertheless,allofthemdealtwiththestabilityperiodicity,andoscillationetc-ofsolutionsofDEPCA.Re-cently,[4]disscusedtheetistenceofalInostperiodicsolutionsofDEPCA.Inthispaper,wedefineps… 相似文献
9.
A New Almost Periodic Type Solution of First Order Neutral Delay Differential Equations with Piecewise Constant Argument 总被引:1,自引:0,他引:1
Rong Yuan 《数学学报(英文版)》2001,17(3):403-412
In this paper, we introduce a new class of ergodic sequences, pseudo almost periodic sequences, and study the existence of
pseudo almost periodic sequences to difference equations. On the basis of these, we investigate the existence of pseudo almost
periodic solutions for neutral delay differential equations with piecewise constant argument,
Received September 21, 1998, Accepted July 6, 1999 相似文献
10.
In this work, we present some existence theorems of weighted pseudo almost periodic solutions for N-th order neutral differential equations with piecewise constant argument by means of weighted pseudo almost periodic solutions of relevant difference equations. 相似文献
11.
In this paper, we give a definition of pseudo almost periodic sequence and study the existence of pseudo almost periodic sequence to difference equation. Based on these, we investigate the existence of pseudo almost periodic solutions to differential equations with piecewise constant arguments which was considered by K. L. Cooke & J. Wiener and found applications in certain biomedical problems. 相似文献
12.
Pseudo almost periodic in distribution solutions and optimal solutions to impulsive partial stochastic differential equations with infinite delay 下载免费PDF全文
In this paper, we study a general class of impulsive partial stochastic differential equations with infinite delay and pseudo almost periodic coefficients in Hilbert spaces. Firstly, a more appropriate concept of pseudo almost periodic in distribution for stochastic processes of infinite class is introduced. Secondly, the existence of pseudo almost periodic in distribution mild solutions is investigated by utilizing the interpolation theory, the stochastic analysis techniques and fixed point theorem. The existence of optimal mild solutions of the systems is also proved. Finally, an example is provided to show the effectiveness of the theoretical results. 相似文献
13.
We first define the pseudo almost periodic functions in a more general setting.Then we show the existence,uniqueness and stability of pseudo almost periodic solutions of parabolic inverse problems for a type of boundary value problems. 相似文献
14.
Toka Diagana 《Journal of Mathematical Analysis and Applications》2009,350(1):18-6548
This paper is concerned with the study of weighted pseudo almost periodic solutions to some classes of hyperbolic differential equations. Upon making some suitable assumptions, the existence and uniqueness of a weighted pseudo almost periodic solution is obtained. To illustrate our main result, we study the existence of a weighted pseudo almost periodic solution to a system of partial differential equations arising in control systems described by abstract retarded functional-differential equations with feedback control. 相似文献
15.
PIAO DaxiongDepartment of Mathematics Ocean University of China Qingdao China 《中国科学A辑(英文版)》2004,47(1):31-38
In this paper we investigate the existence and uniqueness of pseudo almost periodic solutions and unboundedness of other solutions for the systems of differential equations with piecewise constant argument [t + 1/2] by means of new notion of pseudo almost periodic vector sequences. The case in which the characteristic equation has multiple roots is considered. 相似文献
16.
In this paper, we study weighted pseudo almost periodic solutions of neutral functional differential equations. By applying the properties of weighted pseudo almost periodic functions and the exponential dichotomy of linear systems as well as Krasnoselskii’s fixed point theorem, we establish the conditions for the existence of weighted pseudo-almost periodic solution of the equations. 相似文献
17.
In this paper, we consider the existence and global exponential stability of positive pseudo almost periodic solutions for a delayed Nicholson‐type system with patch structure. With the aid of ergodic theory and differential inequality technique, we prove the existence and global exponential stability of positive pseudo almost periodic solutions for the addressed system, which generalize and improve some known results. Specially, an example and its numerical simulations are provided to manifest the effectiveness of theoretical results. 相似文献
18.
This paper is concerned with a nonlinear Duffing system with pseudo almost periodic coefficients and delay. Under proper conditions, by using theory of exponential dichotomies and contraction mapping principle, some sufficient conditions are established to ensure the existence and uniqueness of pseudo almost periodic solutions, which improve and extend some known relevant results. Moreover, an example is given to illustrate the theoretical results. 相似文献
19.
Hui-Sheng Ding Yuan-Yuan Chen Gaston M. N’Guérékata 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(18):7356-7364
In this work, a new fixed point theorem in partially ordered Banach spaces is established, and then used to prove the existence of positive pseudo almost periodic solutions to a class of neutral integral equations. Our existence theorem extends some recent results due to [E. Ait Dads, P. Cieutat, L. Lhachimi, Positive pseudo almost periodic solutions for some nonlinear infinite delay integral equations, Mathematical and Computer Modelling 49 (2009) 721–739] to a more general class of integral equations. 相似文献
20.
Weighted Pseudo Almost Periodic Solutions for a Class of Hematopoiesis Model with Time-Varying Delay
In this paper, firstly, a notion of a class of generalized weighted pseudo al-most periodic function is introduced, then we investigate some basic and essential properties of the space that consists of these functions. Finally, we study the exis-tence of weighted pseudo almost periodic solutions to hematopoiesis model with time-varying delay. 相似文献