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On some properties of degenerate linear systems

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Abstract

For a linear system of ordinary differential equations with degenerate matrix of derivatives, we find conditions of reducibility to the central canonical form. We also establish the structure of the general solution and conditions of solvability of the Cauchy problem, and study the problem of periodic solutions.

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Authors
  1. V. P. Yakovets
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Additional information

Nezhin Pedagogic Institute, Nezhin. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 9, pp. 1278–1296, September, 1997.

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Yakovets, V.P. On some properties of degenerate linear systems. Ukr Math J 49, 1442–1463 (1997). https://doi.org/10.1007/BF02487351

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  • DOI: https://doi.org/10.1007/BF02487351

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