Existence and exponential stability of pseudo almost periodic solutions for impulsive nonautonomous partial stochastic evolution equations

被引：0
作者：
Zuomao Yan
Fangxia Lu
机构：
[1] Hexi University,Department of Mathematics
来源：
Advances in Difference Equations | / 2016卷
关键词：
impulsive nonautonomous partial stochastic evolution equations; -mean piecewise pseudo almost periodic functions; exponential dichotomy; exponential stability; fixed point theorems; 34A37; 60H10; 35B15; 34F05;
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摘要：
In this paper, the concept of p-mean piecewise pseudo almost periodic for stochastic processes is first introduced. Using the exponential dichotomy techniques and a fixed point strategy with stochastic analysis theory, we establish the existence of p-mean piecewise pseudo almost periodic mild solutions for a class of impulsive nonautonomous partial stochastic evolution equations in Hilbert spaces. Moreover, the exponential stability of p-mean piecewise pseudo almost periodic mild solutions is investigated. Finally, an example is provided to illustrate the obtained theory.
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  • [1] Zhang CY(1994)Pseudo almost periodic solutions of some differential equations J. Math. Anal. Appl. 151 62-76
  • [2] Diagana T(2006)Existence and uniqueness of pseudo almost periodic solutions to some classes of semilinear differential equations and applications Nonlinear Anal. 64 2442-2453
  • [3] Mahop CM(2008)Pseudo almost periodic solutions for nonautonomous neutral differential equations with unbounded delay Nonlinear Anal., Real World Appl. 9 430-437
  • [4] N’Guérékata GM(2008)Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations Nonlinear Anal. 69 4277-4285
  • [5] Toni B(2012)Stepanov-like pseudo almost periodic mild solutions to nonautonomous neutral partial evolution equations Nonlinear Anal. 75 244-252
  • [6] Hernández EM(2012)Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations Nonlinear Anal. 75 3339-3347
  • [7] Henríquez HR(2012)Existence, uniqueness, and stability of mild solutions for second-order neutral stochastic evolution equations with infinite delay and Poisson jumps J. Math. Phys. 53 4517-4523
  • [8] Diagana T(2012)Exponential stability of second-order stochastic evolution equations with Poisson jumps Commun. Nonlinear Sci. Numer. Simul. 17 639-649
  • [9] Hu Z(2014)Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations Appl. Math. Comput. 230 2361-2382
  • [10] Jin Z(2016)Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions Appl. Anal. 95 13-33
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