共查询到20条相似文献,搜索用时 15 毫秒
1.
Zuomao Yan Fangxia Lu 《Stochastics An International Journal of Probability and Stochastic Processes》2019,91(4):553-591
In this paper, we study the piecewise pseudo almost periodicity in distribution for a stochastic process. Using the analytic semigroup theory and fixed point strategy with stochastic analysis theory, we obtain the existence and the exponential stability of piecewise pseudo almost periodic in distribution mild solutions for impulsive partial neutral stochastic functional differential equations under non-Lipschitz conditions. Moreover, an example is given to illustrate the general theorems. 相似文献
2.
Stepanov-like pseudo almost periodic solutions for impulsive perturbed partial stochastic differential equations and its optimal control 下载免费PDF全文
This paper is mainly concerned with the Stepanov-like pseudo almost periodicity to a class of impulsive perturbed partial stochastic differential equations. Firstly, we prove the existence of $p$-mean piecewise Stepanov-like pseudo almost periodic mild solutions for the impulsive stochastic dynamical system in a Hilbert space under non-Lipschitz conditions. The results are obtained by using the fixed point techniques with fractional power arguments. Then the existence of optimal pairs of system governed by impulsive partial stochastic differential equations is also obtained. Finally, an example is provided to illustrate the developed theory. 相似文献
3.
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
4.
5.
Sebastián Buedo-Fernández Teresa Faria 《Mathematical Methods in the Applied Sciences》2020,43(6):3052-3075
Sufficient conditions for the existence of at least one positive periodic solution are established for a family of scalar periodic differential equations with infinite delay and nonlinear impulses. Our criteria, obtained by applying a fixed-point argument to an original operator constructed here, allow to treat equations incorporating a rather general nonlinearity and impulses whose signs may vary. Applications to some classes of Volterra integro-differential equations with unbounded or periodic delay and nonlinear impulses are given, extending and improving results in the literature. 相似文献
6.
袁荣 《应用数学学报(英文版)》1998,14(1):68-73
Itiswellknownthattheexistenceofalmostperiodicsolutionsiscloselyrelatedtothestabilityofsolutions.Forfunctionaldifferentialequationswithinfinitedelay,Y.Hin.[5'6]studiedtheproblemsontheexistenceofalmostperiodicsolutionsandthestability.However,therearefewpapersll2]dealingwithneutralfunctionaldifferentialequationswithinfinitedelay.Inthepresentpaper,forneutralfunctionaldifferentialequationswithinfinitedelay,weprovetheinherencetheoremfortheuniformlystableoperatorD(t),definethestabilitywithrespecttot… 相似文献
7.
首先引入h型Stepanov 加权伪概自守函数和∞型Stepanov加权伪概自守函数的概念, 接着建立了其函数空间的完备性以及相应组合定理, 最后证明了一类非自治无穷时滞偏中立型泛函微分方程在Sp-加权伪概自守系数下加权伪概自守解的存在唯一性. 相似文献
8.
Existence of almost periodic solutions for strong stable impulsive differential equations 总被引:1,自引:0,他引:1
Conditions for strong stability and the existence of almostperiodic solutions of systems of impulsive differential equationswith impulsive effect at fixed moments are obtained. The investigationsare carried out by means of piecewise continuous functions whichare analogues of Lyapunov functions. 相似文献
9.
Existence of $\mu$-pseudo almost automorphic solutions to abstract partial neutral functional differential equations with infinite delay 下载免费PDF全文
Yong-Kui Chang G. M. N''Gu ''{e}r ''{e}kat Rui Zhang 《Journal of Applied Analysis & Computation》2016,6(3):628-664
In this article, we introduce and investigate the concept of $\mu$-Stepanov-like pseudo almost automorphic functions of class $h$ and class infinity via measure theory. We present new results on completeness and composition theorems for the space of such functions. To illustrate our main results, we provide some applications to an abstract partial neutral functional differential equation with infinite delay. 相似文献
10.
In this work, we study the existence of pseudo almost automorphic solution for some partial functional differential equations with infinite delay. We assume that the undelayed part is not necessarily densely defined and satisfies the Hille–Yosida condition. We use the variation of constant formula developed recently in 1 to get the existence and uniqueness of pseudo almost automorphic solution when the linear equation has an exponential dichotomy. We also give an application of the abstract results to a Lotka–Volterra model with diffusion. 相似文献
11.
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
12.
Khalil Ezzinbi 《Applicable analysis》2013,92(8):1627-1642
The aim of this work is to investigate the existence and uniqueness of pseudo almost periodic solutions for some neutral partial functional differential equations in a Banach space when the delay is distributed using the variation of constants formula and the spectral decomposition of the phase space developed in Adimy et al. [M. Adimy, K. Ezzinbi, and A. Ouhinou, Variation of constants formula and almost periodic solutions for some partial functional differential equations with infinite delay, J. Math. Anal. Appl. 317(2) (2006), pp. 668–689]. Here, we assume that the undelayed part is not necessarily densely defined and satisfies the well-known Hille–Yosida condition, the delayed part is assumed to be pseudo almost periodic with respect to the first argument and Lipschitz continuous with respect to the second argument. 相似文献
13.
Behavior of bounded solutions for some almost periodic neutral partial functional differential equations 下载免费PDF全文
El Hadi Ait Dads Brahim Es‐sebbar Khalil Ezzinbi Mohamed Ziat 《Mathematical Methods in the Applied Sciences》2017,40(7):2377-2397
We establish a Bochner type characterization for Stepanov almost periodic functions, and we prove a new result about the integration of almost periodic functions. This result is then used together with a reduction principle to investigate the nature of bounded solutions of some almost periodic partial neutral functional differential equations. More specifically, we prove that all bounded solutions on are almost periodic. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
14.
In this paper, we study the existence and asymptotic stability in pth moment of mild solutions to nonlinear impulsive stochastic partial differential equations with infinite delay. By employing a fixed point approach, sufficient conditions are derived for achieving the required result. These conditions do not require the monotone decreasing behaviour of the delays. 相似文献
15.
Gani Stamov 《Applicable analysis》2013,92(1-2):45-56
Sufficirnt condition for the existence of almost periodic solutions of forced perturbed systems of impulsive differential equations with impulsive effect at fixed Moments are considered. 相似文献
16.
Xiao-Bao Shu Yongzeng LaiYuming Chen 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(5):2003-2011
This paper is concerned with the existence of mild solutions for a class of impulsive fractional partial semilinear differential equations. Some errors in Mophou (2010) [2] are corrected, and some previous results are generalized. 相似文献
17.
In this paper, we investigate a class of stochastic functional differential equations of the form
dx(t)=(Ax(t)+F(t,x(t),xt))dt+G(t,x(t),xt)°dW(t). 相似文献
18.
Paul H. Bezandry 《Applicable analysis》2013,92(7):819-827
The article introduces and studies the concept of p-mean almost periodicity for stochastic processes. Our abstract results are, subsequently, applied to studying the existence of square-mean almost periodic solutions to some semilinear stochastic equations. 相似文献
19.
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
20.
In this paper, a class of stochastic functional differential equations given by