Skip to main content
Log in

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

  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. A. V. Skorokhod, Studies in the Theory of Random Processes, Addison-Wesley (1965).

  2. I. I. Gikhman and I. I. Kadyrova, “Some results in the study of stochastic differential equations,” in: Theory of Stochastic Processes [in Russian], No. 1, Naukova Dumka, Kiev (1973), pp. 51–68.

    Google Scholar 

  3. N. N. Krasovskii, Applications of Lyapunov's Second Method to Differential Systems and Equations with Delay, Stanford Univ. Press (1963).

  4. V. E. Slyusarchuk, E. F. Tsar'kov, and V. K. Yasinskii, “On stability of solutions of linear differential-functional equations under random perturbations of the parameters,” Ukr. Mat. Zh.,25, No. 3, 412–418 (1973).

    Google Scholar 

  5. I. I. Gihman and A. V. Skorokhod, The Theory of Stochastic Processes, Springer-Verlag (1975).

  6. R. Bellman and K. L. Cooke, Asymptotic Behavior of Solutions of Differential-Difference Equations, Amer. Math. Soc. (1965).

  7. S. G. Krein, Linear Differential Equations in Banach Space, Amer. Math. Soc. (1972).

  8. R. Z. Khas'minskii, Stability of Systems of Differential Equations under Random Perturbations of Their Parameters [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  9. M. A. Lavrent'ev and B. V. Shabat, Methods in the Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  10. G. Dech, A Guide to the Practical Use of the Laplace Transform and z-Transform [in Russian], Nauka, Moscow (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhumal, Vol. 32, No. 1, pp. 89–98, January–February, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yasinskaya, L.I., Yasinskii, V.K. Mean-square asymptotic stability of the trivial solution of stochastic functional-differential equations. Ukr Math J 32, 65–72 (1980). https://doi.org/10.1007/BF01090469

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01090469

Keywords

Navigation