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1.
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
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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
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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
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In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some $p > 1$, we discuss the existence and multiplicity of positive solutions to the four point boundary value problems of nonlinear fractional differential equations. Our results extend some recent works in the literature. 相似文献
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In this paper,we investigate the pseudo almost periodicity of the unique bounded solution for a nonlinear hyperbolic equation with piecewise constant argument.The equation under consideration is a mathematical model for the dynamics of gas absorption. 相似文献
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Naoki Shioji 《Proceedings of the American Mathematical Society》1997,125(10):2921-2929
In this paper, we study the existence of -periodic solutions for the problem
where is a -periodic, pseudo monotone mapping from a reflexive Banach space into its dual.
11.
In this paper, we investigate the pseudo almost periodicity of the unique bounded solution for a nonlinear hyperbolic equation with piecewise constant argument. The equation under consideration is a mathematical model for the dynamics of gas absorption, 相似文献
12.
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
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We establish the existence of bounded, almost periodic and asymptotically almost periodic mild solutions for first- and second-order abstract-retarded functional differential equations with unbounded delay. 相似文献
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袁荣 《Annals of Differential Equations》1996,(2)
ＳＴＡＢＩＬＩＴＹＡＮＤＡＬＭＯＳＴＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＳＯＦＦＵＮＣＴＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＯＦＮＥＵＴＲＡＬＴＹＰＥＹｕａｎＲｏｎｇ（袁荣）（ＢｅｉｊｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，北京师范大学，... 相似文献
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Lili Gao Dept.of Math.and Physics Bengbu College Bengbu Anhui Lianglong Wang 《Annals of Differential Equations》2012,(1):32-37
This paper is concerned with the existence of positive periodic solutions to a second order functional differential equation with infinite delay.Under the appropriate conditions,some existence and multiplicity of positive periodic solutions are derived by an abstract fixed-point theorem. 相似文献
16.
张传义 《应用泛函分析学报》2011,13(4):416-424
伪概周期函数是1992年在我的博士论文中定义的,大多数人是在1994年我的两篇文章得知此函数的．从那以来,伪概周期函数引起国内外许多数学工作者的兴趣,成为一个活跃的研究领域．文中将介绍伪概周期函数是如何定义的,并且综述近20年它的发展． 相似文献
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《Mathematical Methods in the Applied Sciences》2018,41(13):5065-5073
The existence and nonexistence of periodic solutions are discussed for fractional differential equations by varying the lower limits of Caputo derivatives. The developed approach is illustrated on several examples. 相似文献
18.
Summary Stochastic evolution equations with monotone operators in Banach spaces are considered. The solutions are characterized as
minimizers of certain convex functionals. The method of monotonicity is interpreted as a method of constructing minimizers
to these functionals, and in this way solutions are constructed via Euler-Galerkin approximations. 相似文献
19.
Zuomao Yan 《Numerical Functional Analysis & Optimization》2016,37(12):1590-1639
In this article, the approximate controllability of fractional impulsive partial neutral stochastic differential inclusions with state-dependent delay and fractional sectorial operators in Hilbert spaces is studied. By using the stochastic analysis, the fractional sectorial operators and a fixed point theorem for multi-valued maps combined with approximation techniques, we discuss a new set of su?cient conditions for the approximate controllability of the systems under the mixed Lipschitz and Carathéodory conditions. An example is provided to illustrate the obtained theory. 相似文献
20.
Existence of Solutions for Fractional
Integro-differential Equations with Impulsive and
Integral Conditions 
下载免费PDF全文
下载免费PDF全文 This paper presents the existence of solutions for a class of Cauchy
problems with integral condition for impulsive fractional integro-differential
equations. Based on definition of solution for impulsive fractional integro-
differential equations, the existence theorems of solutions of fractional differ-
ential equation are obtained by applying fixed point methods. Finally, three
examples are given to demonstrate the feasibility of the obtained results. 相似文献