Existence of square-mean almost periodic solutions to some stochastic hyperbolic differential equations with infinite delay

zbMath1197.34161MaRDI QIDQ969218

Tocka Diagana, Paul Hubert Bézandry

Publication date: 12 May 2010

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1271890671

zbMATH Keywords

stochastic differential equationBrownian motionstochastic processessectorial operatorinfinite delayhyperbolic semigroupsquare-mean almost periodicity

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stochastic functional-differential equations (34K50) PDEs with randomness, stochastic partial differential equations (35R60) Abstract hyperbolic equations (35L90) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (2)

Asymptotic almost periodicity of stochastic evolution equations ⋮ Asymptotically periodic solution of a stochastic differential equation

Cites Work

• A unified approach to abstract linear nonautonomous parabolic equations
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• Functional integro-differential stochastic evolution equations in Hilbert space
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• Existence results for partial neutral functional integrodifferential equations with unbounded delay
• Solvability of the Cauchy problem for infinite delay equations
• Existence of weighted pseudo almost periodic solutions to some classes of hyperbolic evolution equations
• Existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations
• Almost periodic solutions of affine stochastic evolution equations
• Periodic and almost periodic solutions for semilinear stochastic equations
• Existence of almost periodic solutions to some stochastic differential equations
• Analytic semigroups and optimal regularity in parabolic problems
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