Existence and exponential stability of pseudo almost periodic solutions for impulsive nonautonomous partial stochastic evolution equations

DOI10.1186/S13662-016-1022-0zbMath1419.34076OpenAlexW2551978218WikidataQ59468566 ScholiaQ59468566MaRDI QIDQ1628305

Fangxia Lu, Zuomao Yan

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-1022-0

zbMATH Keywords

exponential stabilityexponential dichotomyfixed point theorems\(p\)-mean piecewise pseudo almost periodic functionsimpulsive nonautonomous partial stochastic evolution equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations with impulses (34A37) Almost and pseudo-almost periodic solutions to PDEs (35B15) Ordinary differential equations and systems with randomness (34F05) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

Time optimal control to a partial stochastic differential system with pseudo almost periodic coefficients ⋮ Existence and exponential stability of the piecewise pseudo almost periodic mild solution for some partial impulsive stochastic neutral evolution equations ⋮ PSEUDO ALMOST PERIODIC IN DISTRIBUTION SOLUTIONS AND OPTIMAL SOLUTIONS TO IMPULSIVE PARTIAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH INFINITE DELAY ⋮ STEPANOV-LIKE PSEUDO ALMOST PERIODIC SOLUTIONS FOR IMPULSIVE PERTURBED PARTIAL STOCHASTIC DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL ⋮ Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations ⋮ Exponential stability for nonautonomous impulsive neutral partial stochastic evolution equations with delay ⋮ Optimal controls for impulsive partial stochastic differential equations with weighted pseudo almost periodic coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On almost periodic mild solutions for stochastic functional differential equations
• \(p\)-th mean pseudo almost automorphic mild solutions to some nonautonomous stochastic differential equations
• Mean square almost periodic solutions for impulsive stochastic differential equations with delays
• Existence of almost periodic solutions for a class of abstract impulsive differential equations
• Stepanov-like pseudo almost periodic mild solutions to nonautonomous neutral partial evolution equations
• Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
• Asymptotically almost periodic solutions of stochastic functional differential equations
• Evolution operators and strong solutions of abstract linear parabolic equations
• Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations
• Almost periodic solutions for abstract impulsive differential equations
• Pseudo-almost periodic solutions for non-autonomous neutral differential equations with unbounded delay
• Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations
• Existence results for impulsive neutral stochastic functional integro-differential equations with infinite delays
• Asymptotic stability of impulsive stochastic partial differential equations with infinite delays
• Stability of semilinear stochastic evolution equations
• Pseudo almost periodic solutions of some differential equations
• Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations
• Existence of solutions for nonlinear fractional stochastic differential equations
• Exponential stability of second-order stochastic evolution equations with Poisson jumps
• Existence of solutions for impulsive partial stochastic neutral integrodifferential equations with state-dependent delay
• Existence of Stepanov-like square-mean pseudo almost periodic solutions to partial stochastic neutral differential equations
• Composition of piecewise pseudo almost periodic functions and applications to abstract impulsive differential equations
• Existence and stability of almost periodic solutions for impulsive differential equations
• Square-mean almost periodic solutions to some stochastic evolution equations
• Existence and uniqueness of pseudo-almost periodic solutions to some classes of semilinear differential equations and applications
• Pseudo almost periodic solutions of impulsive differential equations with delay
• Existence and global attractiveness of a pseudo almost periodic solution inp-th mean sense for stochastic evolution equation driven by a fractional Brownian motion
• Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions
• ALMOST PERIODIC SOLUTIONS TO STOCHASTIC EVOLUTION EQUATIONS ON BANACH SPACES
• Existence, uniqueness, and stability of mild solutions for second-order neutral stochastic evolution equations with infinite delay and Poisson jumps
• Almost Periodic Stochastic Processes
• Initial Boundary Value Problems and Optimal Control for Nonautonomous Parabolic Systems
• Periodic and almost periodic solutions for semilinear stochastic equations
• Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces
• Almost periodic solutions for impulsive fractional differential equations
• EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS
• Existence of almost periodic solutions to some stochastic differential equations

This page was built for publication: Existence and exponential stability of pseudo almost periodic solutions for impulsive nonautonomous partial stochastic evolution equations