EXISTENCE OF STRONG SOLUTIONS FOR NEURONAL NETWORK DYNAMICS DRIVEN BY FRACTIONAL BROWNIAN MOTIONS

DOI10.1142/S0219493710003030zbMath1208.60061arXiv0807.4057MaRDI QIDQ4932793

Stefano Bonaccorsi, Delio Mugnolo

Publication date: 7 October 2010

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4057

zbMATH Keywords

fractional Brownian motioninvariant measuresdiffusion on networkstrong solutions of infinite dimensional stochastic differential equations

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Related Items (3)

On the parabolic Cauchy problem for quantum graphs with vertex noise ⋮ Absolute continuity of the law for solutions of stochastic differential equations with boundary noise ⋮ Stochastic reaction-diffusion equations on networks

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