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Fundamental systems for differential equations with operator coefficients

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Abstract

Fundamental systems for linear differential equations with operator coefficients are investigated, the concept of a Wronskian for such equations is introduced, and a method for constructing a differential equation from its fundamental system is proposed.

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Literature cited

  1. N. Bourbaki, Functions of a Real Variable [Russian translation], Moscow (1965).

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Authors and Affiliations

  1. Iv. Franko L'vov State University, USSR

    A. P. Matkovskii & V. A. Mukhachev

Authors
  1. A. P. Matkovskii
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  2. V. A. Mukhachev
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Additional information

Translated from Matematicheskie Zametki, Vol. 8, No. 6, pp. 777–782, December, 1970.

We must thank V. É. Lyants for his help and the referee for his valuable advice.

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Matkovskii, A.P., Mukhachev, V.A. Fundamental systems for differential equations with operator coefficients. Mathematical Notes of the Academy of Sciences of the USSR 8, 910–913 (1970). https://doi.org/10.1007/BF01673693

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  • DOI: https://doi.org/10.1007/BF01673693

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