PSEUDO ALMOST PERIODIC IN DISTRIBUTION SOLUTIONS AND OPTIMAL SOLUTIONS TO IMPULSIVE PARTIAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

DOI10.11948/2018.1396zbMath1461.34087OpenAlexW2893073115MaRDI QIDQ5148041

Zuomao Yan, Xiu-Mei Jia

Publication date: 29 January 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2018.1396

zbMATH Keywords

fixed pointoptimal solutionsinfinite delayimpulsive partial stochastic differential equationspseudo almost periodic in distribution solutions

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Applications of operator theory to differential and integral equations (47N20)

Related Items (1)

Stepanov-like pseudo almost periodicity in distribution and optimal control to impulsive partial stochastic differential equations

Cites Work

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• Pseudo almost periodic mild solution of nonautonomous impulsive integro-differential equations
• \(p\)-th mean pseudo almost automorphic mild solutions to some nonautonomous stochastic differential equations
• Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional-differential equations and applications
• Weak averaging of semilinear stochastic differential equations with almost periodic coefficients
• Pseudo-almost periodic solutions for non-autonomous neutral differential equations with unbounded delay
• Asymptotic stability of impulsive stochastic partial differential equations with infinite delays
• Stability of semilinear stochastic evolution equations
• Functional differential equations with infinite delay
• Existence and exponential stability of pseudo almost periodic solutions for impulsive nonautonomous partial stochastic evolution equations
• Existence of solutions for nonlinear fractional stochastic differential equations
• 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
• Almost automorphy and various extensions for stochastic processes
• Composition of piecewise pseudo almost periodic functions and applications to abstract impulsive differential equations
• Pseudo almost periodic solutions of impulsive differential equations with delay
• Pseudo almost automorphic in distribution solutions of semilinear stochastic integro-differential equations by measure theory
• Existence and global attractiveness of a pseudo almost periodic solution inp-th mean sense for stochastic evolution equation driven by a fractional Brownian motion
• Pseudo almost periodic solutions of infinite class for some functional differential equations
• Almost Periodic Stochastic Processes
• Periodic and almost periodic solutions for semilinear stochastic equations
• A Fixed Point Theorem of Krasnoselskii—Schaefer Type
• Counterexamples to mean square almost periodicity of the solutions of some SDEs with almost periodic coefficients
• Analytic semigroups and optimal regularity in parabolic problems

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