Averaging principle on infinite intervals for stochastic ordinary differential equations with Lévy noise
DOI10.3934/math.2021314zbMath1484.60063OpenAlexW3136025145MaRDI QIDQ2133269
Publication date: 29 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021314
stochastic differential equationsperiodic solutionalmost periodic solutionquasi-periodic solutionaveraging principleLévy noisePoisson stable solution
Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Averaging method for ordinary differential equations (34C29) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
Cites Work
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- Average and deviation for slow-fast stochastic partial differential equations
- An averaging principle for stochastic dynamical systems with Lévy noise
- On the averaging principle for stochastic delay differential equations with jumps
- Averaging principle for a class of stochastic reaction-diffusion equations
- On large deviations in the averaging principle for SDEs with a ``full dependence
- Periodic, almost periodic and almost automorphic solutions for SPDEs with monotone coefficients
- Poisson stable solutions for stochastic differential equations with Lévy noise
- Periodic, quasi-periodic, almost periodic, almost automorphic, Birkhoff recurrent and Poisson stable solutions for stochastic differential equations
- La théorie générale de la mesure dans son application à l'étude des systèmes dynamiques de la mécanique non linéaire
- Random Perturbations of Dynamical Systems
- Lévy Processes and Stochastic Calculus
- Real Analysis and Probability
- Weak averaging of stochastic evolution equations
- Averaging Principle for Nonautonomous Slow-Fast Systems of Stochastic Reaction-Diffusion Equations: The Almost Periodic Case
- Stochastic Equations in Infinite Dimensions
- Global Attractors of Non-Autonomous Dynamical and Control Systems
- Introduction to Non-Linear Mechanics. (AM-11)
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