共查询到20条相似文献,搜索用时 15 毫秒
1.
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
2.
Toka Diagana Eduardo M. Hernández 《Journal of Mathematical Analysis and Applications》2007,327(2):776-791
The paper considers the existence and uniqueness of pseudo almost periodic (mild) solutions to some classes of first-order partial neutral functional-differential equations. Upon making some suitable assumptions, existence and uniqueness results are obtained. Applications include both a partial integro-differential equation arising in control systems and the scalar reaction-diffusion equation with delay. 相似文献
3.
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
4.
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
5.
We study asymptotically almost automorphic solutions of abstract fractional integro-differential neutral equations. 相似文献
6.
In this paper, the existence of almost periodic solutions is studied via the Lyapunov function. Razumikhin type theorems are
established on the existence, uniqueness and uniformly asymptotic stability of almost periodic solutions. Two examples are
given to explain our results.
相似文献
7.
具无穷时滞的中立型Volterra积分微分方程的概周期解 总被引:1,自引:0,他引:1
研究了一类具无穷时滞的中立型Volterra积分微分方程的概周期解问题.利用线性系统指数型二分性理论和泛函分析方法,得到了一些关于该方程的概周期解的存在性、唯一性与稳定性的新结果,推广了相关文献的主要结果. 相似文献
8.
In this paper, a class of stochastic functional differential equations given by
9.
10.
Yihong Song 《Journal of Difference Equations and Applications》2013,19(9):971-986
The existence of almost periodic solutions of nonlinear Volterra difference equations with unbounded delay is obtained by using uniform stability properties of a bounded solution. An example is also given to illustrate obtained results. 相似文献
11.
含参数泛函微分方程概周期正解的存在性 总被引:1,自引:0,他引:1
研究了一类含参数泛函微分方程概周期正解的存在性问题.结合有界性及渐近概周期性获得了系统存在概周期正解的几组充分条件,并将结果应用于几类种群动力学模型,分别获得了系统在概周期环境下存在概周期解的一组充分条件. 相似文献
12.
In this work we introduce a new class of abstract neutral differential equations and study the existence of mild and strict solutions. Some concrete applications involving partial neutral differential equations are considered. 相似文献
13.
Yihong Song 《Journal of Mathematical Analysis and Applications》2006,314(1):174-194
For discrete Volterra equations with or without delay, we obtain several results concerning almost periodic solutions and asymptotically almost periodic solutions under certain conditions. We also investigate the relations among solutions of equations discussed and give an example to illustrate our results. 相似文献
14.
15.
Bruno de Andrade Carlos Lizama 《Journal of Mathematical Analysis and Applications》2011,382(2):761-771
In this paper, a class of nonlinear damped wave equations of the form αu?(t)+u″(t)=βAu(t)+γAu′(t)+f(t,u(t)), t?0, satisfying αβ<γ with prescribed initial conditions are studied. Some sufficient conditions are established for the existence and uniqueness of an asymptotically almost periodic solution. These results have significance in the study of vibrations of flexible structures possessing internal material damping. Finally, an example is presented to illustrate the feasibility and effectiveness of the results. 相似文献
16.
《Mathematical Methods in the Applied Sciences》2018,41(4):1642-1652
We are concerned with a family of dissipative active scalar equation on . By using similar methods from the previous paper of Y. Giga et al. (see Introduction below), we construct a unique real, spatially almost periodic mild solution θ of 1.1 satisfying 1.11 . In this paper, we consider some countable sum‐closed frequency sets (see Remark 1.1 ). We show that the property of the solution is rather different from Chae et al 1 and obtain that with some initial data θ0 for all t≥0, and 0≤α≤ω, where ω is a fixed constant. Furthermore, arranging the elements of a countable sum‐closed frequency set Fδ as in Remark 1.3 , we have for any 0≤α≤ω that belongs to , where Fδ is defined in 1.4 or 1.5 . 相似文献
17.
Of concern is a class of abstract semilinear integrodifferential equations with nonlocal initial conditions. Under some suitable hypotheses, we establish some new theorems about the existence of asymptotically almost automorphic solutions to the integrodifferential equations. Moreover, an example is given to illustrate our results. 相似文献
18.
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
19.
Moez Ayachi 《Applicable analysis》2013,92(1):211-217
By using the Ekeland variational principle and the calculus of variations in mean, we study the existence of almost periodic solutions of a class of advanced-retarded differential equation. We show that under some hypothesis, for any given almost periodic forcing term can be ‘perturbed’ so that the corresponding forced equation admits an almost periodic solution. 相似文献
20.
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