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;
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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.
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  • [21] Anguraj A(2015)Existence results for a new class of fractional impulsive partial neutral stochastic integro-differential equations with infinite delay J. Appl. Anal. Comput. 5 234-259
  • [22] Vinodkumar A(2009)Controllability of Volterra-Fredholm type systems in Banach spaces J. Franklin Inst. 346 333-349
  • [23] Hu L(2009)Controllability for systems governed by semilinear differential inclusions in a Banach space with a noncompact semigroup Nonlinear Anal. 70 193-232
  • [24] Ren Y(1983)Analytic resolvent operators for integral equations in a Banach space J. Differ. Equ. 50 11-41
  • [25] Lin A(1982)Resolvent operators for integral equations in a Banach space Trans. Am. Math. Soc. 273 300-315
  • [26] Ren Y(1995)Integrated resolvent operators J. Integral Equ. Appl. 7 undefined-undefined
  • [27] Xia N(1978)Phase spaces for retarded equations with infinite delay Funkc. Ekvacioj 21 undefined-undefined
  • [28] Yan Z(2013)Existence of solutions to impulsive fractional partial neutral stochastic integro-differential inclusions with state-dependent delay Electron. J. Differ. Equ. 2013 undefined-undefined
  • [29] Yan X(1997)Nonlinear impulse evolution systems and applications to population models J. Math. Anal. Appl. 207 undefined-undefined
  • [30] Sakthivel R(undefined)undefined undefined undefined undefined-undefined
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