STABILITY OF STOCHASTIC SYSTEMS WITH MEMORY

DOI10.1142/S0219493705001493zbMath1073.65502MaRDI QIDQ5694407

Vadim D. Potapov

Publication date: 30 September 2005

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

zbMATH Keywords

stabilityLyapunov exponentsVolterra integro-differential equationsfading memorystochastic Volterra integro-differential equationsstatistical moments

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Numerical methods for integral equations (65R20) Stability theory for integral equations (45M10) Numerical solutions to stochastic differential and integral equations (65C30) Stochastic integral equations (60H20) Random integral equations (45R05)

Related Items

Stability of elastic and viscoelastic systems under stochastic non-Gaussian excitation

Cites Work

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• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• Numerical method for investigation of stability of stochastic integro-differential equations
• Stability of epidemic model with time delays influenced by stochastic perturbations
• Research in computational epidemiology
• Numerical Methods for Nonlinear Volterra Integro-Differential Equations
• Characterization of Non-Linear Transformations Possessing Kernels

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