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System with degenerate matrix at the derivative

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Abstract

For a linear system with degenerate matrix and small parameter at the derivative we study the question of existence of a solution of the Cauchy problem depending on the properties of the bundle of matrices.

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Literature cited

  1. I. I. Starun, “Construction of asymptotic solutions of singularly perturbed linear systems,” Differents. Uravn.,21, No. 10, 1822–1823 (1985).

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  2. F. R. Gantmakher, Theory of Matrices [in Russian], Nauka, Moscow (1967).

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  3. V. F. Chistyakov, “Linearization of degenerate systems of quasilinear ordinary differntial equations,” in: Applied Methods of Solution of Operator Equations and Their Applications [in Russian], SéI, Sib. Otdel., Akad. Nauk SSSR, Irkutsk (1982), pp. 146–157.

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Authors and Affiliations

  1. Nezhin Pedagogical Institute, USSR

    I. I. Starun

Authors
  1. I. I. Starun
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 11, pp. 1535–1537, November, 1990.

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Starun, I.I. System with degenerate matrix at the derivative. Ukr Math J 42, 1377–1379 (1990). https://doi.org/10.1007/BF01066195

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  • DOI: https://doi.org/10.1007/BF01066195

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