Exponential stability of impulsive neutral stochastic integrodifferential equations driven by a poisson jumps and time-varying delays

DOI10.2298/FIL2006809AzbMath1499.34422WikidataQ115495084 ScholiaQ115495084MaRDI QIDQ5865259

K. Ravikumar, Elsayed M. Elsayed, Annamalai Anguraj

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

exponential stabilitymild solutions\(C_0\)-semigroupstochastic integrodifferential equationsresolvent operators

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Stochastic integral equations (60H20)

Cites Work

• Neutral stochastic functional differential equations with infinite delay and Poisson jumps in the \(C_g\) space
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• Exponential stability for neutral stochastic partial differential equations with delays and Poisson jumps
• Existence and regularity of solutions for neutral partial functional integrodifferential equations
• Semigroups of linear operators and applications to partial differential equations
• Analytic resolvent operators for integral equations in Banach space
• On neutral impulsive stochastic differential equations with Poisson jumps
• Exponential stability and interval stability of a class of stochastic hybrid systems driven by both Brownian motion and Poisson jumps
• Exponential stability of nonautonomous stochastic partial differential equations with finite memory
• Resolvent Operators for Integral Equations in a Banach Space
• Almost sure exponential stability for stochastic partial functional differential equations^∗
• Partial differential equations with delayed random perturbations: existence uniqueness and stability of solutions
• EXISTENCE AND STABILITY OF SOLUTIONS OF STOCHASTIC SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
• Stochastic Equations in Infinite Dimensions

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