On stability of stochastic differential equations with random impulses driven by Poisson jumps

DOI10.1080/17442508.2020.1783264zbMath1506.34103OpenAlexW3045644339MaRDI QIDQ5086699

K. Ravikumar, Juan. J. Nieto, Annamalai Anguraj

Publication date: 7 July 2022

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2020.1783264

zbMATH Keywords

existenceHyers-Ulam stabilityPoisson jumpsrandom impulsive

Mathematics Subject Classification ID

Controllability (93B05) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Perturbations of functional-differential equations (34K27)

Related Items (15)

Approximate controllability for impulsive stochastic delayed differential inclusions ⋮ Exponential behaviour of nonlinear fractional Schrödinger evolution equation with complex potential and Poisson jumps ⋮ Controllability of nonlinear higher-order fractional damped stochastic systems involving multiple delays ⋮ Existence and stability results of mild solutions for random impulsive stochastic partial differential equations with noncompact semigroups ⋮ Stability and guaranteed cost control for linear impulsive systems with random impulses: Application to stochastic event‐triggered control ⋮ On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps ⋮ On a class of Ito stochastic differential equations ⋮ Non‐instantaneous impulsive stochastic FitzHugh–Nagumo equation with fractional Brownian motion ⋮ Qualitative behaviour of stochastic integro-differential equations with random impulses ⋮ Existence and Hyers-Ulam stability of stochastic integrodifferential equations with a random impulse ⋮ Unnamed Item ⋮ Continuous dependence and differentiability of solutions of second-order impulsive differential equations on initial values and impulsive points ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Approximate controllability for a new class of stochastic functional differential inclusions with infinite delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponential stability for stochastic neutral functional differential equations driven by Rosenblatt process with delay and Poisson jumps
• Existence, uniqueness and stability results of random impulsive semilinear differential systems
• Ergodicity of dissipative differential equations subject to random impulses
• Introduction to functional differential equations
• Mean square Hyers-Ulam stability of stochastic differential equations driven by Brownian motion
• Controllability of stochastic impulsive neutral functional differential equations driven by fractional Brownian motion with infinite delay
• Exponential stability of impulsive neutral stochastic functional differential equation driven by fractional Brownian motion and Poisson point processes
• Boundedness of nonlinear differential systems with impulsive effect on random moments
• Successive approximation of neutral functional stochastic differential equations with jumps
• Stability results of random impulsive semilinear differential equations
• Existence and uniqueness of stochastic differential equations with random impulses and Markovian switching under non-Lipschitz conditions
• Ulam-Hyers-Rassias stability of a nonlinear stochastic integral equation of Volterra type
• Nash equilibrium payoffs for non-zero-sum stochastic differential games without Isaacs condition
• Existence and Stability Results of Impulsive Stochastic Partial Neutral Functional Differential Equations with Infinite Delays and Poisson Jumps
• Existence, Uniqueness and Stability of Impulsive Stochastic Partial Neutral Functional Differential Equations with Infinite Delays Driven by a Fractional Brownian Motion
• Optimal control of fractional neutral stochastic differential equations with deviated argument governed by Poisson jumps and infinite delay
• Existence and stability results for random impulsive fractional pantograph equations

This page was built for publication: On stability of stochastic differential equations with random impulses driven by Poisson jumps