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An asymptotic solution for differential equations in a Banach space in the presence of a finite system of multiple eigenvalues

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Literature cited

  1. S. F. Feshchenko, N. I. Shkil', and L. D. Nikolenko, Asymptotic Methods in the Theory of Linear Differential Equatious [in Russian], Naukova Dumka, Kiev (1966).

    Google Scholar 

  2. Yu. L. Daletskii, “On certain equations with closed operators,” Izv. Kiev. Politekhn. In-ta,19, 157–177 (1956).

    Google Scholar 

  3. T. Kato, Perturbation Theory of Linear Operators [in Russian], Mir, Moscow (1972).

    Google Scholar 

  4. M. M. Vainberg and V. A. Trenogin, Branching Theory for Solutions of Nonlinear Equations [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  5. N. I. Shkil', “On some asymptotic methods in the theory of linear differential equations with slowly varying coefficients,” Author's Abstract of Doctoral Dissertation, Kiev.

  6. Yu. L. Daletskii and M. G. Krein, The Stability of Solutions of Differential Equations in a Banach Space [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  7. A. F. Turbin, “A method of the theory of spectrally perturbed linear operators in asymptotic problems of the theory of probability,” Author's Abstract of Candidate's Dissertation, Kiev (1971).

  8. Ya. D. Plotkin and A. F. Turbin, “The inversion of normally solvable linear operators,” Ukr. Mat. Zh.,27, No. 4, 477–487 (1975).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 5, pp. 655–662, September–October, 1976.

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Sotnichenko, N.A., Feshchinko, S.F. An asymptotic solution for differential equations in a Banach space in the presence of a finite system of multiple eigenvalues. Ukr Math J 28, 506–512 (1976). https://doi.org/10.1007/BF01095211

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  • DOI: https://doi.org/10.1007/BF01095211

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