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On the best constants in the solvability conditions for the periodic boundary value problem for higher-order functional differential equations. (English. Russian original) Zbl 1259.34052

Differ. Equ. 48, No. 6, 779-786 (2012); translation from Differ. Uravn. 48, No. 6, 773-780 (2012).
Author’s abstract: We study the properties of the sequence of optimal constants in the conditions of unique solvability of the periodic boundary value problem for \(n\)th-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.

MSC:

34K10 Boundary value problems for functional-differential equations
34K13 Periodic solutions to functional-differential equations
34K06 Linear functional-differential equations
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