Skip to main content
Log in

Integration of a singularly perturbed degenerate linear system

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We present a method for finding a solution of a linear homogeneous system with degenerate matrix and a small parameter with the derivative.

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.

Similar content being viewed by others

References

  1. I. I. Starun, “Construction of asymptotic solutions of singularly perturbed linear systems,”Differents. Uravn.,21, No. 10, 1822–1823 (1985).

    Google Scholar 

  2. V. P. Yakovets,Asymptotic Integration of Singularly Perturbed Systems of Degenerate Differential Equations [in Russian], Author's Abstract of the Doctoral Degree Thesis (Physics and Mathematics), Kiev (1993).

  3. N. I. Shkil', I. I. Starun, and V. P. Yakovets,Asymptotic Integration of Linear Systems of Ordinary Differential Equations [in Russian], Vyshcha Shkola, Kiev (1989).

    Google Scholar 

  4. V. F. Chistyakov, “On linearization of degenerate systems of quasilinear ordinary differential equations,” in:Approximate Methods for Solution of Operator Equations and Their Applications [in Russian], SÉI, Academy of Sciences of the USSR, Siberian Branch, Irkutsk (1982), pp. 146–157.

    Google Scholar 

  5. N. I. Shkil', I. I. Starun, and V. P. Yakovets,Asymptotic Integration of Linear Systems of Degenerate Differential Equations [in Russian], Vyshcha Shkola, Kiev (1991).

    Google Scholar 

  6. F. R. Gantmakher,Theory of Matrices [in Russian], Nauka, Moscow (1988).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 11, pp. 1542–1548, November, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Starun, I.I., Shkil', M.I. Integration of a singularly perturbed degenerate linear system. Ukr Math J 47, 1760–1768 (1995). https://doi.org/10.1007/BF01057924

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01057924

Keywords

Navigation