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The Cauchy problem for certain systems of operator-differential equations of arbitrary order in locally convex spaces

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Abstract

We describe an analog of the Cauchy-Kovalevskaya sufficient conditions for the analytic solvability of the Cauchy problem for systems of operator-differential equations of arbitrary order in locally convex spaces; this analog is stated in terms of the order and type of the linear operator.

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Authors and Affiliations

  1. Orel State University, Orel, Russia

    N. A. Aksenov

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  1. N. A. Aksenov
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Correspondence to N. A. Aksenov.

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Original Russian Text © N. A. Aksenov, 2011, published in Matematicheskie Zametki, 2011, Vol. 90, No. 2, pp. 183–198.

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Aksenov, N.A. The Cauchy problem for certain systems of operator-differential equations of arbitrary order in locally convex spaces. Math Notes 90, 175 (2011). https://doi.org/10.1134/S0001434611070182

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