Existence and uniqueness of mild solutions for nonlinear stochastic impulsive differential equation

DOI10.1155/2011/439724zbMath1231.60052OpenAlexW1988310208WikidataQ58654219 ScholiaQ58654219MaRDI QIDQ657125

Jitao Sun, Lijuan Shen

Publication date: 16 January 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/439724

zbMATH Keywords

existence and uniquenessstochastic impulsive differential equationsSchaefer's fixed theorem

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

Related Items (1)

The existence of solutions for Sturm-Liouville differential equation with random impulses and boundary value problems

Cites Work

• Unnamed Item
• Invariant sets of impulsive differential equations with particularities in \(\omega \)-limit set
• Existence, continuation, and uniqueness problems of stochastic impulsive systems with time delay
• Periodic boundary value problems for systems of first order impulsive differential equations
• Local and global existence and uniqueness results for impulsive functional differential equations with multiple delay
• Global exponential stability of impulsive functional differential equations via Razumikhin technique
• Existence results for impulsive neutral stochastic functional integro-differential equations with infinite delays
• Existence and uniqueness of solutions to neutral stochastic functional differential equations with infinite delay
• Reliable dissipative control for stochastic impulsive systems
• Existence and uniqueness and stability of solutions for stochastic impulsive systems
• Exact controllability for a nonlinear stochastic wave equation
• p-Moment Stability of Stochastic Nonlinear Delay Systems with Impulsive Jump and Markovian Switching

This page was built for publication: Existence and uniqueness of mild solutions for nonlinear stochastic impulsive differential equation