Advertisement

Ukrainian Mathematical Journal

, Volume 32, Issue 2, pp 89–94 | Cite as

Reduction of a linear system of differential equations with a singular matrix multiplying the derivatives

  • V. A. Eremenko
Article

Keywords

Differential Equation Linear System Singular Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    F. R. Gantmakher, The Theory of Matrices, Chelsea Publ.Google Scholar
  2. 2.
    W. A. Harris, V. Sibuya, Jr., and L. V. Weinberg, “Reduction algorithm for linear differential systems,” Funkcialaj Ekvacioj, Ser. Int.,11, No. 2, 59–67 (1968).Google Scholar
  3. 3.
    Yu. D. Shlapak, “Periodic solutions of a linear system of differential equations with singular matrix multiplying the derivatives,” Ukr. Mat. Zh.,27, No. 1, 137–140 (1975).Google Scholar
  4. 4.
    Yu. D. Shlapak, “On reducibility of a linear system of differential equations with singular matrix multiplying the derivatives,” Mat. Fiz., No. 21, 60–64 (1977).Google Scholar
  5. 5.
    Yu. D. Shlapak, “Periodic solutions of a linear system of differential equations which cannot be solved for the derivatives,” in: Analytic Methods for Studying Solutions of Nonlinear Differential Equations [in Russian], Kiev. Inst. Mat. Akad. Nauk Ukr. SSR (1975), pp. 183–188.Google Scholar
  6. 6.
    V. A. Eremenko, “On some properties of periodic matrices,” Ukr. Mat. Zh.,32, No. 1, 19–26 (1979).Google Scholar
  7. 7.
    Y. Sibuya, Jr., “Some global properties of matrices of functions of one variable,” Math. Ann.,161, No. 1, 67–77 (1965).Google Scholar
  8. 8.
    A. M. Samoilenko, “Quasiperiodic solutions of a system of linear algebraic equations with quasiperiodic coefficients,” in: Analytic Methods for Studying Nonlinear Differential Equations [in Russian], Kiev. Inst. Mat. Akad. Nauk Ukr. SSR (1975), pp. 5–26.Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • V. A. Eremenko
    • 1
  1. 1.Ternopol' Institute of Economics and FinanceUSSR

Personalised recommendations