Existence results for impulsive neutral second-order stochastic evolution equations with nonlocal conditions

DOI10.1016/j.mcm.2011.12.037zbMath1286.60062OpenAlexW2038148837MaRDI QIDQ2450476

Jing Cui, Litan Yan

Publication date: 14 May 2014

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.12.037

zbMATH Keywords

nonlocal conditionstochastic evolution equationsimpulsive equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Impulsive partial differential equations (35R12)

Related Items (10)

Existence and controllability results for second-order impulsive stochastic evolution systems with state-dependent delay ⋮ Asymptotic stability of fractional order (1,2 stochastic delay differential equations in Banach spaces] ⋮ On approximate controllability of second-order neutral partial stochastic functional integrodifferential inclusions with infinite delay and impulsive effects ⋮ Existence of mild solutions for the impulsive semilinear nonlocal problem with random effects ⋮ Existence for a second-order impulsive neutral stochastic integrodifferential equations with nonlocal conditions and infinite delay ⋮ Retarded stochastic differential equations with infinite delay driven by Rosenblatt process ⋮ Existence and controllability of second-order neutral impulsive stochastic evolution integro-differential equations with state-dependent delay ⋮ Stability of Neutral Impulsive Nonlinear Stochastic Evolution Equations with Time Varying Delays ⋮ Nonlocal stochastic integro-differential equations driven by fractional Brownian motion ⋮ On the Controllability of Nonlocal Second-Order Impulsive Neutral Stochastic Integro-Differential Equations with Infinite Delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic evolution equations of jump type: Existence, uniqueness and large deviation princi\-ples
• Existence of solutions for semilinear neutral stochastic functional differential equations with nonlocal conditions
• Stability of nonlinear stochastic-evolution equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Semilinear integrodifferential equations with nonlocal initial conditions
• Second-order neutral stochastic evolution equations with heredity
• Theory and applications of partial functional differential equations
• Nonlocal Cauchy problem for delay integrodifferential equations of Sobolev type in Banach spaces
• Existence results for an impulsive abstract partial differential equation with state-dependent delay
• Stability of infinite dimensional stochastic evolution equations with memory and Markovian jumps
• Nonlinear nonlocal Cauchy problems in Banach spaces
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Cosine families and abstract nonlinear second order differential equations
• Almost sure exponential stability for stochastic neutral partial functional differential equations
• An abstract nonlinear second order differential equation
• Stochastic Equations in Infinite Dimensions

This page was built for publication: Existence results for impulsive neutral second-order stochastic evolution equations with nonlocal conditions