2018
Том 70
№ 7

# Exact Solvability Conditions for the Cauchy Problem for Systems of First-Order Linear Functional-Differential Equations Determined by $(σ_1, σ_2, ... , σ_n; τ)$-Positive Operators

Ronto A. M.

Abstract

We obtain new sufficient conditions under which the Cauchy problem for a system of linear functional-differential equations is uniquely solvable for arbitrary forcing terms. The conditions established are unimprovable in a certain sense.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 11, pp 1853–1884.

Citation Example: Ronto A. M. Exact Solvability Conditions for the Cauchy Problem for Systems of First-Order Linear Functional-Differential Equations Determined by $(σ_1, σ_2, ... , σ_n; τ)$-Positive Operators // Ukr. Mat. Zh. - 2003. - 55, № 11. - pp. 1541-1568.

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