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Ukrainian Mathematical Journal

, Volume 65, Issue 2, pp 328–340 | Cite as

On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations

  • S. P. Pafyk
  • V. P. Yakovets’
Article

For a system of linear differential equations of order p with identically degenerate coefficient matrix of higher derivatives, we establish conditions under which this system has the general solution of the Cauchy type. The structure of this solution is determined. Conditions for the existence and uniqueness of solution of the corresponding initial-value problem are also obtained.

Keywords

General Solution CAUCHY Problem Linear Differential Equation High Derivative Eigenvalue Zero 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • S. P. Pafyk
    • 1
  • V. P. Yakovets’
    • 2
  1. 1.Drahomanov National Pedagogic UniversityKyivUkraine
  2. 2.University of Management of Education of the Ukrainian National Academy of Pedagogic SciencesKyivUkraine

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