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Linear integro-differential equations with almost-periodic coefficients

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Abstract

A class of integro-differential equations is described, for which the regularity of the corresponding operator is equivalent to the exponential dichotomy of solutions of the homogeneous equation.

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Literature cited

  1. I. L. Mussera and I. I. Schäffer, Linear Differential Equations and Function Spaces, New York (1966).

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Authors and Affiliations

  1. Voronezh State University, USSR

    A. I. Yartsev

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  1. A. I. Yartsev
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Translated from Matematicheskie Zametki, Vol. 8, No. 4, pp. 463–473, October, 1970.

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Yartsev, A.I. Linear integro-differential equations with almost-periodic coefficients. Mathematical Notes of the Academy of Sciences of the USSR 8, 729–735 (1970). https://doi.org/10.1007/BF01104373

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  • DOI: https://doi.org/10.1007/BF01104373

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