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Mean convergence of solutions of systems with a small matrix attached to the derivative

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Literature Cited

  1. V. P. Skripnik, “Singular systems and a small parameter in the highest derivative,” Mat. Sb.,65, No. 3, 338–356 (1964).

    Google Scholar 

  2. V. P. Skripnik, “Singular systems and a small parameter in the derivative,” Differents. Uravn.,16, No. 3, 454–461 (1980).

    Google Scholar 

  3. A. N. Tikhonov, “Systems containing small parameters in the higher derivatives,” Mat. Sb.,31, No. 3, 575–586 (1952).

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  4. A. B. Vasil'eva and V. F. Butuzov, Asymptotic Expansions of Solutions of Singularly Perturbed Equations [in Russian], Nauka, Moscow (1973).

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  5. I. S. Gradshtein, “Application of the stability theory of A. M. Lyapunov to the theory of differential equations with small multipliers in the derivatives,” Dokl. Akad. Nauk SSSR,82, No. 1, 5–8 (1952).

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  6. S. G. Krein and K. I. Chernyshov, “The behavior of solutions of general linear systems meromorphically dependent on a small parameter,” Dokl. Akad. Nauk SSSR,260, No. 3, 530–535 (1981).

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Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 6, pp. 153–157, November–December, 1984.

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Skripnik, V.P. Mean convergence of solutions of systems with a small matrix attached to the derivative. Sib Math J 25, 955–958 (1984). https://doi.org/10.1007/BF00968951

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  • DOI: https://doi.org/10.1007/BF00968951

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