Skip to main content
Log in

Question of representing the solution of a matrix differential equation as a factorial series

  • 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. W. Balser, W. B. Jurkat, and D. A. Lutz, “A general theory of invariants for meromorphic differential equations. Part II, Proper invariants,” Funkc. Ekvacioj.,22, 252–283 (1979).

    Google Scholar 

  2. W. Baiser, W. B. Jurkat, and D. A. Lutz, “A general theory of invariants for meromorphic differential equations. Part I, Formal invariants,” Funkc. Ekvacioj.,22, 197–221 (1979).

    Google Scholar 

  3. H. Turritin, “Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point,” Acta Math.,93, 27–66 (1955).

    Google Scholar 

  4. W. R. Wasow, Asymptotic Expansions for Ordinary Differential Equations, Interscience, New York-London-Sydney (1965).

    Google Scholar 

  5. A. I. Tovbis, “Erugin's method of constructing a solution in a neighborhood of an irregular singular point,” Voronezh, 1983, Deposited at VINITI, No. 2921/83.

  6. W. Balser, W. B. Jurkat, and D. A. Lutz, “A general theory of invariants for meromorphic differential equations. Part III, Applications,” Houston J. Math.,6, No. 2, 149–188 (1980).

    Google Scholar 

  7. G. Doetsch, Einführung in Theorie und Anwendung der Laplace-Transformation, Birkhaüser, Basel-Stuttgart (1958).

    Google Scholar 

  8. W. B. Jurkat, D. A. Lutz, and A. Peyerimhoff, “Birkhoff invariants and effective calculations for meromorphic linear differential equations. Part I,” J. Math. Anal.,83, 438–470 (1976).

    Google Scholar 

  9. W. Balser, W. B. Jurkat, and D. A. Lutz, “Invariants for reducible systems of meromorphic differential equations,” Proc. Edinburgh Math. Soc.,23, 163–186 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 2, pp. 229–234, March–April, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tovbis, A.I. Question of representing the solution of a matrix differential equation as a factorial series. Ukr Math J 39, 194–198 (1987). https://doi.org/10.1007/BF01057504

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01057504

Keywords

Navigation