Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Solubility of stochastic differential equations with perturbed argument

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

Literature cited

  1. 1.

    B. N. Sadovskii, “Limitingly compact and condensing operators,” Usp. Mat. Nauk,27, No. 1 (163), 81–146 (1972).

  2. 2.

    I. I. Gikhman and A. V. Skorokhod, Introduction to the Theory of Random Processes [in Russian], Nauka, Moscow (1965).

  3. 3.

    V. B. Kolmanovskii and V. P. Nosov, Stability and Periodic Conditions of Regulated Systems with Aftereffects [in Russian], Nauka, Moscow (1981).

  4. 4.

    Yu. A. Dyadchenko, “On the solubility of a Volterra-type nonlinear operator equation,” in: The Theory of Operator Equations [in Russian], Voronezh Univ. (1979), pp. 22–33.

  5. 5.

    A. E. Rodkina, “On the solubility of neutral-type equations in various functional spaces,” Ukr. Mat. Zh.,35, No. 1, 64–69 (1983).

  6. 6.

    V. G. Kurbatov, “On the spectrum of operators with commensurable perturbations of the argument and constant coefficients,” Differents. Uravn.,13, No. 10, 1770–1775 (1977).

  7. 7.

    T. Jamada and S. Watanabe, “On the uniqueness of solutions of stochastic differential equations. I,” J. Math. Kyoto Univ.,11, No. 1, 155–167 (1971); II,11, No. 3, 553–563 (1971).

  8. 8.

    A. Yu. Veretennikov, “On strong solutions of stochastic differential equations,” Teor. Veroyatn. Primen.,24, No. 2, 348–360 (1979).

  9. 9.

    M. L. Klepzina and A. Yu. Veretennikov, “Theorems of comparison, existence and uniqueness for stochastic Ito equations,” in: Lecture Notes in Mathematics, Japan-USSR Symposium on Probability Theory (Tbilisi, 1982), Springer-Verlag, Berlin (1983), p. 2.

Download references

Author information

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 1, pp. 98–103, January–February, 1985.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Rodkina, A.E. Solubility of stochastic differential equations with perturbed argument. Ukr Math J 37, 84–88 (1985).

Download citation


  • Differential Equation
  • Stochastic Differential Equation