Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations (Q1644107)

scientific article; zbMATH DE number 6892478

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English	Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations	scientific article; zbMATH DE number 6892478

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instance of

scholarly article

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title

Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations (English)

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Selvaraj Marshal Anthoni

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published in

Applied Mathematics and Computation

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publication date

21 June 2018

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zbMATH Keywords

non-autonomous stochastic neutral equations

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stochastic processes

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square mean automorphic solutions

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evolution systems

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.amc.2013.12.075

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cites work

Almost automorphic and almost periodic functions in abstract spaces

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Topics in Almost Automorphy

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Weighted pseudo almost automorphic functions and applications to abstract differential equations

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Weighted pseudo-almost automorphic solutions for some partial functional differential equations

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The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion

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Existence and exponential stability of almost automorphic mild solutions for stochastic functional differential equations

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New composition theorems of Stepanov-like weighted pseudo almost automorphic functions and applications to nonautonomous evolution equations

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Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to semi-linear differential equations in Hilbert spaces

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Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations

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Stepanov-like almost automorphy for stochastic processes and applications to stochastic differential equations

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Square-mean almost automorphic mild solutions to non-autonomous stochastic differential equations in Hilbert spaces

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Square-mean almost automorphic mild solutions to some stochastic differential equations in a Hilbert space

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Q5390155

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Almost automorphic mild solutions to some classes of nonautonomous higher-order differential equations

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Existence of pseudo-almost automorphic mild solutions to some nonautonomous partial evolution equations

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Q3630695

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Pseudo almost periodic solutions to some non-autonomous neutral functional differential equations with unbounded delay

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Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations

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Asymptotic stability of second-order neutral stochastic differential equations

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Existence, uniqueness, and stability of mild solutions for second-order neutral stochastic evolution equations with infinite delay and Poisson jumps

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Composition of Stepanov-like pseudo almost automorphic functions and applications to nonautonomous evolution equations

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Square-mean pseudo almost automorphic process and its application to stochastic evolution equations

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On almost automorphic mild solutions for nonautonomous stochastic evolution equations

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Weighted Stepanov-like pseudo almost automorphy and applications

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A composition theorem for weighted pseudo-almost automorphic functions and applications

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Square-mean almost automorphic solutions for some stochastic differential equations

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Functional differential equations with infinite delay

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Almost automorphic and weighted pseudo almost automorphic solutions of semilinear evolution equations

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Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations

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Q3113318

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On neutral impulsive stochastic integro-differential equations with infinite delays via fractional operators

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Identifiers

zbMATH Open document ID

1410.34247

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Mathematics Subject Classification ID

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10.1016/J.AMC.2013.12.075

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Sitelinks

Mathematics(1 entry)

mardi Publication:1644107