Skip to main content
Log in

Solution of a singular Cauchy problem of implicit form

  • 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. V.I. Arnol'd, Additional Chapters on the Theory of Ordinary Differential Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  2. O. N. Vityuk, “On a two-sided approximation to the solution of systems of first order ordinary differential equations not solved explicitly for the derivatives,” Dopov. Akad. Nauk UkrSSR, Ser. A. No. 3, 284–287 (1965).

    Google Scholar 

  3. A. N. Vityuk, “Generalized problem of Cauchy for a system of differential equations not solved for the derivatives,” Differents. Urav.,7, No. 9, 1575–1580 (1971).

    Google Scholar 

  4. N. P. Erugin, A Text Book for a General Course in Differential Equations [in Russian], Nauka i Tekhnika, Minsk (1972).

    Google Scholar 

  5. A. E. Zernov, “On the solution of a system of singular differential equations partially solved for the derivatives,” Mat. Zametki,24, No. 3, 349–357 (1978).

    Google Scholar 

  6. V. P. Rudakov, “On existence and uniqueness of a solution of systems of first order differential equations partially solved for derivatives,” Izv. Vuzov. Matematika, No. 9, 79–84 (1971).

    Google Scholar 

  7. V. I. Arnol'd, Ordinary Differential Equations [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  8. I. T. Kiguradze, Some Singular Boundary Value Problems for Ordinary Differential Equations [in Russian], Tbilisi Univ., Tbilisi (1975).

    Google Scholar 

  9. P. Hartman, Ordinary Differential Equations, Wiley, New York (1964).

    Google Scholar 

  10. V. A. Trenogin, Functional Analysis [in Russian], Nauka, Moscow (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 6, pp. 755–760, June, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zernov, A.E. Solution of a singular Cauchy problem of implicit form. Ukr Math J 43, 705–709 (1991). https://doi.org/10.1007/BF01058937

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01058937

Keywords

Navigation