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Stability of the Cauchy problem for a Fedorov type matrix system of partial differential equations

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Abstract

Sufficient conditions on the coefficients are obtained for the stability of the nul solution for a Fedorov type matrix system of partial differential equations.

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Literature cited

  1. S. V. Zhestkov and V. N. Laptinskii, “Some bounds of a solution to the Cauchy problem for general normal systems in partial derivatives,” Vestsi Akad. Nauk B. SSR, Math. Phys. Series,2, 107–110 (1988).

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  2. S. V. Zhestkov, “Lyapunov stability for the Cauchy problem for linear systems in partial derivatives,” Diff. Uravn.,26, No. 4, 706–709 (1990).

    Google Scholar 

  3. B. I. Ptatnik and V. Ya. Skorobogat'ko, “Some ideas and results of Lvov Mathematical School in the area of branching continued fractions and differential equations,” Lvov (1989). (Preprint No. 27.88 of the Akad. Nauk Ukr. SSR. Inst. Applied Problems of Mechanics and Mathematics.)

  4. Ya. V. Radyno, “Vectors of exponential type and the functional calculus,” Dokl. Akad. Nauk Bul. SSR,27, No. 10, 875–878 (1983).

    Google Scholar 

  5. Ivo Vrkoch, “Integral stability,” Chekhosl. Mat. Zh.,9, No. 1, 71–129 (1959).

    Google Scholar 

  6. A. N. Filatov and L. V. Sharova, Integral Inequalities and the Theory of Nonlinear Oscillations [in Russian], Nauka, (1976).

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Authors and Affiliations

  1. Candidate of the Academy of Sciences of the Bulgarian SSR, USSR

    S. V. Zhestkov

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  1. S. V. Zhestkov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 5, pp. 583–590, June, 1991.

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Zhestkov, S.V. Stability of the Cauchy problem for a Fedorov type matrix system of partial differential equations. Ukr Math J 43, 540–545 (1991). https://doi.org/10.1007/BF01058537

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  • DOI: https://doi.org/10.1007/BF01058537

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