Non-densely defined impulsive neutral stochastic functional differential equations driven by fBm in Hilbert space with infinite delay
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Publication:893331
DOI10.1007/s11464-015-0392-zzbMath1328.60140OpenAlexW2012468773MaRDI QIDQ893331
Yong Ren, Tingting Hou, Rathinasamy Sakthivel
Publication date: 19 November 2015
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-015-0392-z
impulsive effectstochastic functional differential equationcylindrical fractional Brownian motionnon-densely defined operator
Fractional processes, including fractional Brownian motion (60G22) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic integral equations (60H20)
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Cites Work
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- Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space
- The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion
- Integrated semigroups
- Itô's formula with respect to fractional Brownian motion and its application
- Variation of constants formula and almost periodic solutions for some partial functional differential equations with infinite delay
- New comparison results for impulsive integro-differential equations and applications
- On nondensely defined semilinear stochastic functional differential equations with nonlocal conditions
- Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions
- On fractional Brownian processes
- Evolution equations driven by a fractional Brownian motion
- Nondensely defined evolution impulsive differential inclusions with nonlocal conditions.
- Theory and applications of partial functional differential equations
- On a class of measure-dependent stochastic evolution equations driven by fbm
- FRACTIONAL BROWNIAN MOTION AND STOCHASTIC EQUATIONS IN HILBERT SPACES
- A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
- The Malliavin Calculus and Related Topics