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On the best constants in the solvability conditions for the periodic boundary value problem for higher-order functional differential equations

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Abstract

We study the properties of the sequence of optimal constants in the conditions of unique solvability of the periodic boundary value problem for nth-order linear functional differential equations. These constants are expressed via the Euler-Bernoulli constants; simple recursion relations between them and relations with other known mathematical constants are derived.

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Authors and Affiliations

  1. Perm State Technical University, Perm, Russia

    E. I. Bravyi

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  1. E. I. Bravyi
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Original Russian Text © E.I. Bravyi, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 6, pp. 773–780.

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Bravyi, E.I. On the best constants in the solvability conditions for the periodic boundary value problem for higher-order functional differential equations. Diff Equat 48, 779–786 (2012). https://doi.org/10.1134/S001226611206002X

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  • DOI: https://doi.org/10.1134/S001226611206002X

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