Square mean almost automorphic solution of stochastic evolution equations with impulses on time scales

DOI10.7153/dea-2018-10-30zbMath1411.34118OpenAlexW2904279446WikidataQ128829379 ScholiaQ128829379MaRDI QIDQ4629694

Soniya Dhama, Syed Abbas

Publication date: 28 March 2019

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2018-10-30

zbMATH Keywords

impulsesexponential stabilitytime scalesstochastic processevolution systemalmost automorphy

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Dynamic equations on time scales or measure chains (34N05)

Related Items (6)

Weighted pseudo almost automorphic solution for abstract dynamic equations under translation and non-translation time scales with shift operators and unbounded graininess ⋮ The doubly weighted pseudo‐almost automorphic mild solutions to a class of stochastic dynamic equations ⋮ Existence, stability and controllability results of coupled fractional dynamical system on time scales ⋮ Stability and approximation of almost automorphic solutions on time scales for the stochastic Nicholson's blowflies model ⋮ Stability and controllability results of evolution system with impulsive condition on time scales ⋮ Existence and stability of weighted pseudo almost automorphic solution of dynamic equation on time scales with weighted Stepanov-like \((S^p)\) pseudo almost automorphic coefficients

Cites Work

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• Synchronisation of generalised stochastic neural networks with delays and reaction-diffusion terms on timescales
• Existence and exponential stability of piecewise mean-square almost periodic solutions for impulsive stochastic Nicholson's blowflies model on time scales
• Stochastic dynamic equations on time scales
• The quadratic variation of Brownian motion on a time scale
• Almost periodic solutions for abstract impulsive differential equations
• Almost automorphic solutions for some partial functional differential equations
• Existence of almost periodic solutions to some functional integro-differential stochastic evolution equations
• The stochastic dynamic exponential and geometric Brownian motion on isolated time scales
• Basic calculus on time scales and some of its applications
• Weighted piecewise pseudo almost automorphic functions with applications to abstract impulsive \(\nabla\)-dynamic equations on time scales
• Relatively dense sets, corrected uniformly almost periodic functions on time scales, and generalizations
• Oscillation criteria of singular initial-value problem for second order nonlinear dynamic equation on time scales
• On the stability of stochastic dynamic equations on time scales
• Almost periodic oscillations for delay impulsive stochastic Nicholson's blowflies timescale model
• Almost automorphic solutions of non-autonomous difference equations
• Some results for impulsive problems via Morse theory
• Almost periodic solutions of impulsive BAM neural networks with variable delays on time scales
• Almost periodic solution for a new type of neutral impulsive stochastic Lasota-Wazewska timescale model
• Partial dynamic equations on time scales
• Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces
• Brownian Motion Indexed by a Time Scale
• Square-mean almost automorphic solutions for some stochastic differential equations
• The First Attempt on the Stochastic Calculus on Time Scale
• Qualitative analysis of dynamic equations on time scales
• Almost automorphic solutions of semilinear evolution equations
• Existence of almost periodic solutions to some stochastic differential equations

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