On existence of solutions of a impulsive stochastic partial functional integro-differential equation with the measure of noncompactness

被引：0
作者：
Zuomao Yan
Xiumei Jia
机构：
[1] Hexi University,Department of Mathematics
来源：
Advances in Difference Equations | / 2016卷
关键词：
impulsive stochastic partial neutral functional integro-differential equations; Hausdorff measure of noncompactness; infinite delay; analytic resolvent operators; fixed point theorem; 34A37; 34A60; 34K40; 60H15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we study the existence of mild solutions for a new class of impulsive stochastic partial neutral functional integro-differential equations with infinite delay and non-instantaneous impulses in separable Hilbert spaces. The new results are obtained by using the Hausdorff measure of noncompactness, and the theory of analytic resolvent operators and fractional power of closed operators with the fixed point theorems. An example is also given to illustrate the obtained theory.
引用
收藏
相关论文
共 68 条
  • [1] Hernández E(2007)Existence of solutions for impulsive partial neutral functional differential equations J. Math. Anal. Appl. 331 1135-1158
  • [2] Rabello M(2009)Existence results for impulsive neutral functional integrodifferential equations with infinite delay Nonlinear Anal. 71 3152-3162
  • [3] Henríquez H(2012)Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations Nonlinear Anal. 75 3339-3347
  • [4] Park JY(2014)On time-dependent stochastic evolution equations driven by fractional Brownian motion in a Hilbert space with finite delay Math. Methods Appl. Sci. 37 2177-2184
  • [5] Balachandran K(2014)Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations Appl. Math. Comput. 230 639-649
  • [6] Annapoorani N(2015)Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardis function Appl. Math. Comput. 256 232-246
  • [7] Sakthivel R(2009)Asymptotic stability of impulsive stochastic partial differential equations with infinite delays J. Math. Anal. Appl. 356 1-6
  • [8] Revathi P(2009)Existence, uniqueness and stability results of impulsive stochastic semilinear neutral functional differential equations with infinite delays Electron. J. Qual. Theory Differ. Equ. 2009 303-317
  • [9] Anthoni SM(2010)Existence results for impulsive neutral stochastic functional integro-differential equations with infinite delays Acta Appl. Math. 111 413-424
  • [10] Ren Y(2010)On neutral impulsive stochastic integro-differential equations with infinite delays via fractional operators Math. Comput. Model. 51 235-250
1234567