Mean-square asymptotic stability of the trivial solution of stochastic functional-differential equations

DOI10.1007/BF01090469zbMath0447.93051OpenAlexW2068295933MaRDI QIDQ1146647

V. K. Yasinskij, L. I. Yasinskaya

Publication date: 1980

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01090469

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Stochastic stability in control theory (93E15)

Related Items (4)

Investigation of the Cauchy problem for stochastic partial differential equations ⋮ Mean square behavior of the strong solution of a linear non-autonomous stochastic partial differential equation with Markov parameters ⋮ Behavior of the second moment of the solution to the autonomous stochastic linear partial differential equation with random parameters in the right-hand side ⋮ Stability of solutions of linear stochastic differential-difference equations with broken trajectories

Cites Work

• On the computational solution of a class of functional differential equations
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
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