Skip to main content
Log in

On asymptotic formulas for solutions of systems of linear differential equations with a degerate matrix with derivatives

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

In this paper, we suggest a method for the construction of asymptotic formulas for solutions of systems of differential equations in the case where the roots of the characteristic equation are simple

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. M. Rapoport,On Some Asymptotic Methods in the Theory of Differential Equations [in Russian], Academy of Sciences of Ukrainian SSR, Kiev (1954).

    Google Scholar 

  2. M. I. Shkil',Asymptotic Methods in Differential Equations [in Russian], Vyshcha Shkola, Kiev (1971).

    Google Scholar 

  3. N. I. Shkil', I. I. Starun, and V. P. Yakovets,Asymptotic Integration of Linear Systems of Differential Equations with Degeneration [in Russian], Vyscha Shkola, Kiev (1991).

    Google Scholar 

  4. V. P. Yakovets,Asymptotic Integration of Singularly Perturbed Systems of Differential Equations with Degeneration [in Ukrainian], Doctoral Degree Thesis (Physics and Mathematics), Kiev (1993).

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

    MATH  Google Scholar 

  6. V. M. Korsukov, “Some properties of generalized inverse matrices,” inDegenerate Systems of Ordinary Differential Equations [in Russian], Nauka, Novosibirsk (1982) pp. 19–36.

    Google Scholar 

Download references

Authors

Additional information

Ukrainian Pedagogical University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 48, No. 9, pp. 1278–1285, September, 1996.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shkil', M.I., Samusenko, P.F. On asymptotic formulas for solutions of systems of linear differential equations with a degerate matrix with derivatives. Ukr Math J 48, 1450–1459 (1996). https://doi.org/10.1007/BF02595364

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02595364

Keywords

Navigation