Comparison Method of Stability Analysis of Semilinear Time-Delay Stochastic Evolution Equation

DOI10.1081/SAP-120028597zbMath1071.60056OpenAlexW2075053331MaRDI QIDQ3158144

Yunlung Ting

Publication date: 20 January 2005

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sap-120028597

zbMATH Keywords

comparison theoremstochastic stabilitymild solutionstability in \(p\)th meanstochastic evolution equation with delay

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Partial functional-differential equations (35R10) Stability theory of functional-differential equations (34K20) Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50) Ordinary differential equations and systems with randomness (34F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Cites Work

• Stability of semilinear stochastic evolution equations
• On the stability of processes defined by stochastic difference- differential equations
• Semilinear stochastic evolution equations: boundedness, stability and invariant measurest
• Qualitative behaviour of stochastic delay equations with a bounded memory
• Finite systems of functional differential inequalities and minimax solutions
• Exponential stability of mild solutions of stochastic partial differential equations with delays

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