Skip to main content
Log in

Existence of solutions of a real system of ordinary differential equations, starting at a singular point

  • 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. P. Hartman, Ordinary Differential Equations, S. M. Hartmann.

  2. V. A. Chechik, “Investigation of systems of ordinary differential equations with a singularity,” Tr. Mosk. Mat. Ob-va,8, 155–198 (1959).

    Google Scholar 

  3. I. T. Kiguradze, “Cauchy problem for singular systems of ordinary differential equations,” Differents. Uravn.,1, No. 10, 1271–1291 (1965).

    Google Scholar 

  4. L. G. Prosenyuk, “Existence and asymptotic behavior of solutions of real systems of differential equations near a singular point,” Ukr. Mat. Zh.,33, No. 1, 101–104 (1981).

    Google Scholar 

  5. S. K. Norkin, “Local and asymptotic whirlpools for integral O-manifolds,” Ukr. Mat. Zh.,37, No. 3, 317–322 (1985).

    Google Scholar 

  6. A. F. Andreev, Singular Points of Differential Equations [in Russian], Vysheish. Shkola, Minsk (1979).

    Google Scholar 

  7. I. Diblik, “Sufficient conditions for the existence of a pencil of O-curves of a first order singular differential equation,” Differents. Uravn.,21, No. 5, 898–899 (1985).

    Google Scholar 

  8. I. Diblik, “Asymptotic behavior of solutions of a system of differential equations near a singular point,” Ukr. Mat. Zh.,35, No. 3, 360–363 (1983).

    Google Scholar 

  9. I. Diblik, “Existence of O-curves of a singular system of differential equations,” Math. Nachr.,122, 247–258 (1985).

    Google Scholar 

  10. K. Borsuk, Theory of Retracts [Russian translation], Mir, Moscow (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 6, 701–707, November–December, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Diblik, I. Existence of solutions of a real system of ordinary differential equations, starting at a singular point. Ukr Math J 38, 588–592 (1986). https://doi.org/10.1007/BF01056640

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056640

Keywords

Navigation