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共有20条相似文献,以下是第1-20项 搜索用时 281 毫秒

1.  ALMOST PERIODIC SOLUTIONS TO STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS  
   《Annals of Differential Equations》,2012年第3期
   By applying the properties of almost periodic function and exponential dichotomy of linear system as well as Banach fixed point theorem,we establish the conditions for the existence and uniqueness of square-mean almost periodic solution to some stochastic functional differential equations.    

2.  Square-mean almost periodic solutions to some stochastic evolution equations  
   Xi Liang Li《数学学报(英文版)》,2014年第30卷第5期
   This paper concerns the square-mean almost periodic mild solutions to a class of abstract nonautonomous functional integro-differential stochastic evolution equations in a real separable Hilbert space. By using the so-called "Acquistapace–Terreni" conditions and the Banach fixed point theorem, we establish the existence, uniqueness and the asymptotical stability of square-mean almost periodic solutions to such nonautonomous stochastic differential equations. As an application, almost periodic solution to a concrete nonautonomous stochastic integro-differential equation is considered to illustrate the applicability of our abstract results.    

3.  ON THE PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS AND APPLICATIONS  
   李国成  薛小平  宋士吉《应用数学和力学(英文版)》,2004年第25卷第2期
   The periodic problem of evolution inclusion is studied and its results are used toestablish existence theorems of periodic solutions of a class of semi-linear differential inclusion.Also existence theorem of the extreme solutions and the strong relaxation theorem are given forthis class of semi-linear differential inclusion. An application to some feedback control systems isdiscussed.    

4.  POSITIVE SOLUTIONS TO SEMI-LINEAR SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACE  
   《Annals of Differential Equations》,2008年第1期
   In this paper,we study the existence of positive periodic solution to some second- order semi-linear differential equation in Banach space.By the fixed point index theory, we prove that the semi-linear differential equation has two positive periodic solutions.    

5.  ON THE EXISTENCE OF ALMOST PERIODIC SOLUTIONS OF SOME DELAY DIFFERENTIAL EQUATIONS  
   冯春华《Annals of Differential Equations》,2004年第20卷第1期
   By means of exponential dichotomy, this paper investigates the existence of almost periodic solutions of some delay differential equations.    

6.  EXISTENCE OF MULTIPLE POSITIVE PERIODIC SOLUTIONS TO A CLASS OF INTEGRO-DIFFERENTIAL EQUATION  
   Zhijian Yao《Annals of Differential Equations》,2011年第1期
   In this paper,by the Avery-Henderson fixed point theorem,we investigate the existence of multiple positive periodic solutions to a class of integro-differential equation. Some suficient conditions are obtained for the existence of multiple positive periodic solutions.    

7.  PSEUDO-ALMOST PERIODIC SOLUTIONS TO SOME FUNCTIONAL DIFFERENTIAL EQUATIONS  
   《Annals of Differential Equations》,2010年第2期
   This paper is concerned with the pseudo-almost periodic solutions to some functional differential equations. By the exponential dichotomy theory and Schauder’s fixed-point theorem, some results on the existence and uniqueness of pseudo-almost periodic solutions to the system are obtained.    

8.  泛函微分方程周期解的非回复性定理  
   翟延慧  黄庆道  韩月才《东北数学》,2002年第18卷第2期
   nonrecurrence theorem on the existence of periodic solutions for functional differential equations is proved by employing the topological method, and some applications are given.    

9.  ON ALMOST PERIODIC SOLUTIONS TO THIRD-ORDER NEUTRAL DELAY-DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT  
   Rongkun Zhuang  Hongwu Wu《Annals of Differential Equations》,2013年第1期
   We present some conditions for the existence and uniqueness of almost periodic solutions to third order neutral delay-differential equations with piecewise constant.    

10.  ASYMPTOTICALLY ALMOST PERIODIC FUNCTIONS IN PROBABILITY  
   Yuliang Han  Baifeng Liu  Xidong Sun  Xiliang Li《Annals of Differential Equations》,2013年第1期
   In this paper, we first study the properties of asymptotically almost periodic functions in probability and then prove the existence of almost periodic solutions in probability to some differential equations with random terms.    

11.  Existence and uniqueness of positive solutions of semilinear elliptic equations  被引次数:1
   Qiu-yi DAI~《中国科学A辑(英文版)》,2007年第50卷第8期
   This paper is devoted to the study of existence,uniqueness and non-degeneracy of positive solutions of semi-linear elliptic equations.A necessary and sufficient condition for the existence of positive solutions to problems is given.We prove that if the uniqueness and non-degeneracy results are valid for positive solutions of a class of semi-linear elliptic equations,then they are still valid when one perturbs the differential operator a little bit.As consequences,some uniqueness results of positive solutions under the domain perturbation are also obtained.    

12.  Stability of stochastic differential equation with linear fractal noise  
   Junjun Liao  Xiangjun Wang《Frontiers of Mathematics in China》,2014年第9卷第3期
   We study a class of stochastic differential equation with linear fractal noise. By an auxiliary stochastic differential equation, we prove the existence and uniqueness of the solution under some mild assumptions. We also give some estimates of moments of the solution. The exponential stability of the solution is discussed.    

13.  UNIFORM ULTIMATE BOUNDEDNESS AND PERIODIC SOLUTIONS TO NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS  
   Jiabu Dishen《Annals of Differential Equations》,2013年第1期
   In this paper, the existence of periodic solution to nonlinear integro-differential equations with infinite delay is studied in the phase space (Cg,|·|g). We prove that the g-uniformly ultimately bounded solutions implies the existence of periodic solutions using Horn’s fixed point theorem. Some known results are generalized, including the famous Yoshizawa’s theorem.    

14.  PERIODIC SOLUTIONS AND ALMOST PERIODIC SOLUTIONS OF THE SCALAR ORDINARY DIFFERENTIAL EQUATION  
   Chen Yiyuan《数学年刊B辑(英文版)》,1990年第11卷第4期
   This paper develops a method which enables us to study the number,existence andstability of periodic solutions and almost periodic solutions of the scalar ordinarydifferential equation.Some applications of the method are also given.    

15.  FIXED POINTS AND EXPONENTIAL STABILITY OF ALMOST PERIODIC MILD SOLUTIONS TO STOCHASTIC VOLTERRA-LEVIN EQUATIONS  
   Tong Ouyang  Weiguo Liu《Annals of Differential Equations》,2015年第2期
   In this paper, we consider stochastic Volterra-Levin equations. Based on semigroup of operators and fixed point method, under some suitable assumptions to ensure the existence and stability of pth-mean almost periodic mild solutions to the system.    

16.  THE EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTION  
   Ni Hua Lin Faxing《Annals of Differential Equations》,2007年第23卷第2期
   By using the ordinary dichotomy and theory of stability,we study the nonli- near differential equation and obtain some sufficient conditions which guarantee the existence and stability of almost periodic solution for the nonlinear diffe- rential equation.    

17.  Weighted pseudo almost periodic solutions of N-th order neutral differential equations with piecewise constant arguments  
   Rong Kun Zhuang  Rong Yuan《数学学报(英文版)》,2014年第30卷第7期
   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.    

18.  THE EXISTENCE AND UNIQUENESS OF ALMOST PERIODIC SOLUTION OF x"+cx'+g(x)=P(t,x)  
   林木仁《Annals of Differential Equations》,2002年第3期
   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.    

19.  SEMI-LINEAR SYSTEMS OF BACKWARD STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS IN R~n  
   TANG Shanjian《数学年刊B辑(英文版)》,2005年第26卷第3期
   This paper explores the diffeomorphism of a backward stochastic ordinary differential equation (BSDE) to a system of semi-linear backward stochastic partial differential equations (BSPDEs), under the inverse of a stochastic flow generated by an ordinary stochastic differential equation (SDE). The author develops a new approach to BSPDEs and also provides some new results. The adapted solution of BSPDEs in terms of those of SDEs and BSDEs is constructed. This brings a new insight on BSPDEs, and leads to a probabilistic approach. As a consequence, the existence, uniqueness, and regularity results are obtained for the (classical, Sobolev, and distributional) solution of BSPDEs. The dimension of the space variable x is allowed to be arbitrary n, and BSPDEs are allowed to be nonlinear in both unknown variables, which implies that the BSPDEs may be nonlinear in the gradient. Due to the limitation of space, however, this paper concerns only classical solution of BSPDEs under some more restricted assumptions.    

20.  ALMOST PERIODIC SOLUTIONS TO SOME NONLINEAR DELAY DIFFERENTIAL EQUATION  
   《Annals of Differential Equations》,2009年第4期
   The existence of an almost periodic solutions to a nonlinear delay diffierential equation is considered in this paper. A set of sufficient conditions for the existence and uniqueness of almost periodic solutions to some delay diffierential equations is obtained.    

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