Square-mean weighted pseudo almost automorphic solutions for non-autonomous stochastic evolution equations
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Publication:391497
DOI10.1016/j.matpur.2013.01.010zbMath1286.34082OpenAlexW2047580186MaRDI QIDQ391497
Publication date: 10 January 2014
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2013.01.010
mild solutionlocal and global stabilityattractive domainglobal and local Lipschitz conditionnon-autonomous stochastic evolution equationssquare-mean weighted pseudo almost automorphic stochastic process
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential equations and systems with randomness (34F05) Global stability of solutions to ordinary differential equations (34D23) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)
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Cites Work
- Unnamed Item
- Unnamed Item
- Almost automorphic solutions for some evolution equations through the minimizing for some subvariant functional, applications to heat and wave equations with nonlinearities
- Square-mean almost automorphic mild solutions to non-autonomous stochastic differential equations in Hilbert spaces
- Square-mean pseudo almost automorphic process and its application to stochastic evolution equations
- Existence of weighted pseudo-almost periodic solutions to some classes of nonautonomous partial evolution equations
- Pseudo almost automorphic solutions of fractional order neutral differential equation
- A new composition theorem for square-mean almost automorphic functions and applications to stochastic differential equations
- Almost periodic solutions and global attractors of nonautonomous Navier-Stokes equations.
- Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
- Decomposition of weighted pseudo-almost periodic functions
- Evolution operators and strong solutions of abstract linear parabolic equations
- Weighted pseudo almost periodic functions and applications
- Pseudo-almost periodicity of some nonautonomous evolution equations with delay
- A relation between almost automorphic and Levitan almost periodic points in compact minimal flows
- Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
- Almost periodic solutions to some semilinear non-autonomous thermoelastic plate equations
- Some properties of pseudo-almost automorphic functions and applications to abstract differential equations
- Existence and uniqueness of pseudo almost automorphic mild solutions to some classes of partial hyperbolic evolution equations
- Almost automorphic solutions of nonautonomous evolution equations
- Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications
- Weighted pseudo almost automorphic functions and applications to abstract differential equations
- Almost automorphic and weighted pseudo almost automorphic solutions of semilinear evolution equations
- A unified approach to abstract linear nonautonomous parabolic equations
- Almost periodic differential equations
- Almost periodicity of mild solutions of inhomogeneous periodic Cauchy problems
- Pseudo almost periodic solutions of some differential equations
- Pseudo-almost periodic solutions of second-order neutral delay differential equations with piecewise constant argument
- Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces
- Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. I
- Almost automorphic mild solutions to fractional differential equations
- Almost periodically forced circle flows
- Composition of pseudo almost automorphic and asymptotically almost automorphic functions
- On the existence and stability of the periodic solution in the Cohen-Grossberg neural network with time delay and high-order terms
- Almost periodic linear differential equations with non-separated solutions
- Pseudo almost periodic solutions to some non-autonomous neutral functional differential equations with unbounded delay
- Square-mean almost automorphic solutions for some stochastic differential equations
- UNIFORM CONVERGENCE OF MONOTONE SEQUENCES OF FUNCTIONS
- Almost Periodic Oscillations and Waves
- Using white noise to enhance synchronization of coupled chaotic systems
- Complete and generalized synchronization in a class of noise perturbed chaotic systems
- On almost Periodic Solutions of the Competing Species Problems
- Almost periodic solutions of affine stochastic evolution equations
- Periodic and almost periodic solutions for semilinear stochastic equations
- Stationary and almost periodic solutions of almost periodic affine stochastic differential equations
- Topics in Almost Automorphy
- Almost automorphic solutions of semilinear evolution equations
- Almost automorphic solutions of evolution equations
- On Generalized Almost Periodic Functions (II)
- Existence of almost periodic solutions to some stochastic differential equations
- Cn-almost automorphic solutions for partial neutral functional differential equations
- Almost Automorphic Functions on Groups
- Linear Functionals on Almost Periodic Functions
- Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations
- Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain
- Stochastic differential equations. An introduction with applications.
