Almost automorphic solutions for stochastic differential equations driven by Lévy noise with exponential dichotomy

DOI10.1080/07362994.2016.1237878zbMath1359.60074OpenAlexW2560874099WikidataQ115550966 ScholiaQ115550966MaRDI QIDQ2974039

Kai Sun, Yan Wang

Publication date: 6 April 2017

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2016.1237878

zbMATH Keywords

stochastic differential equationexponential dichotomyLévy processalmost automorphic solution

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear differential equations in abstract spaces (34G20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (3)

Pseudo almost periodic in distribution solutions to impulsive partial stochastic functional differential equations ⋮ Pseudo almost automorphy of stochastic neutral partial functional differential equations with Lévy noise ⋮ The solutions with recurrence property for stochastic linearly coupled complex cubic-quintic Ginzburg–Landau equations

Cites Work

• On almost automorphic mild solutions for nonautonomous stochastic evolution equations
• A new composition theorem for square-mean almost automorphic functions and applications to stochastic differential equations
• Almost automorphic solutions for stochastic differential equations driven by Lévy noise
• Square-mean almost automorphic solutions for some stochastic differential equations
• Almost Periodic Stochastic Processes
• Almost periodic solutions for stochastic differential equations with Lévy noise
• Lévy Processes and Stochastic Calculus
• Topological dynamics
• Periodic and almost periodic solutions for semilinear stochastic equations
• Existence of almost periodic solutions to some stochastic differential equations
• Stochastic Partial Differential Equations with Levy Noise
• Almost Automorphic Functions on Groups
• ALMOST AUTOMORPHIC FUNCTIONS

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