The local exponential stability of evolution equation driven by Hölder-continuous paths

DOI10.1016/j.aml.2018.04.017zbMath1489.34084OpenAlexW2800926700WikidataQ115597957 ScholiaQ115597957MaRDI QIDQ1644228

Xiancheng Gao, Hong-Jun Gao

Publication date: 21 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.04.017

zbMATH Keywords

stochastic evolution equationsHölder continuouspathwise solutionlocal asymptotical stability

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) One-parameter semigroups and linear evolution equations (47D06) Brownian motion (60J65) Stability of solutions to ordinary differential equations (34D20) Ordinary differential equations and systems with randomness (34F05) Linear differential equations in abstract spaces (34G10)

Cites Work

• Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than \(1/2\) and random dynamical systems
• Semigroups of linear operators and applications to partial differential equations
• Integration with respect to fractal functions and stochastic calculus. I
• Evolution equations driven by a fractional Brownian motion
• Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in \((1/2,1)\)
• Asymptotical stability of differential equations driven by Hölder continuous paths
• Stability of regime-switching stochastic differential equations
• Stochastic Lattice Dynamical Systems with Fractional Noise

This page was built for publication: The local exponential stability of evolution equation driven by Hölder-continuous paths