Existence and controllability of second-order neutral impulsive stochastic evolution integro-differential equations with state-dependent delay

DOI10.1007/S11784-018-0484-YzbMath1387.34107OpenAlexW2792160807MaRDI QIDQ1742519

Zhangzhi Wei, Lianglong Wang, Ling Hu, Hao Huang, Zheng Wu

Publication date: 11 April 2018

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-018-0484-y

zbMATH Keywords

controllabilityexistencesecond orderstate-dependent delayfamily of evolution operatorsneutral impulsive stochastic evolution integro-differential equations

Mathematics Subject Classification ID

Controllability (93B05) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Control problems for functional-differential equations (34K35) Applications of operator theory to differential and integral equations (47N20)

Related Items (4)

APPROXIMATE CONTROLLABILITY OF IMPULSIVE STOCHASTIC SYSTEMS DRIVEN BY ROSENBLATT PROCESS AND BROWNIAN MOTION ⋮ Solvability and optimal controls of non-instantaneous impulsive stochastic neutral integro-differential equation driven by fractional Brownian motion ⋮ Approximate controllability of retarded impulsive stochastic integro-differential equations driven by fractional Brownian motion ⋮ Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and controllability results for second-order impulsive stochastic evolution systems with state-dependent delay
• Approximate controllability of nonlinear fractional dynamical systems
• Existence for a second-order impulsive neutral stochastic integrodifferential equations with nonlocal conditions and infinite delay
• Existence of solutions of non-autonomous second order functional differential equations with infinite delay
• Controllability of impulsive neutral stochastic functional differential inclusions with infinite delay
• Approximate controllability of second-order damped McKean-Vlasov stochastic evolution equations
• Existence of solutions for second order partial neutral functional differential equations
• On neutral impulsive stochastic integro-differential equations with infinite delays via fractional operators
• Hybrid switching diffusions. Properties and applications
• Introduction to functional differential equations
• Nonlinear stochastic wave and heat equations
• A note on the second-order non-autonomous neutral stochastic evolution equations with infinite delay under Carathéodory conditions
• A note on exponential stability for second-order neutral stochastic partial differential equations with infinite delays in the presence of impulses
• Integrated resolvent operators
• Existence of solutions for impulsive partial stochastic neutral integrodifferential equations with state-dependent delay
• Existence results for an impulsive abstract partial differential equation with state-dependent delay
• Existence results for impulsive neutral second-order stochastic evolution equations with nonlocal conditions
• Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions
• Stochastic Differential Equations in Infinite Dimensions
• Approximate Controllability of Impulsive Stochastic Evolution Equations
• Cosine families and abstract nonlinear second order differential equations
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type
• Global Existence and Boundedness of Solutions to the Extensible Beam Equation
• Approximate Controllability of Second-Order Systems with State-Dependent Delay
• Mathematical control theory: an introduction
• Stochastic Equations in Infinite Dimensions

This page was built for publication: Existence and controllability of second-order neutral impulsive stochastic evolution integro-differential equations with state-dependent delay