Generalized Green's operator of the matrix integral-differential boundary value problem unsolved with respect to the derivative-Reference-Cited by-同舟云学术

Generalized Green's operator of the matrix integral-differential boundary value problem unsolved with respect to the derivative

Published:2023-10-18 Issue:3 Volume:20 Page:336-349
ISSN:1810-3200
Container-title:Ukrainian Mathematical Bulletin
language:uk
Short-container-title:UMB

Author:

Chuiko Sergii¹,Nesmelova Olga²,Kuz'mina Vlada³

Affiliation:

1. Donbas State Pedagogical University, Slovyans'k, Ukraine, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany

2. Institute of Applied Mathematics and Mechanics of NAS of Ukraine, Sloviansk, Ukraine

3. Donbas State Pedagogical University, Slovyans'k, Ukraine

Abstract

Solvability conditions and a structure of the generalized Green's operator of a linear Noether boundary value problem for a matrix integral-differential system unsolved with respect to the derivative, which generalizes integral-differential systems of the Fredholm type with a degenerate kernel. To solve the matrix integral-differential boundary value problem unsolved with respect to the derivative, original solvability conditions were used, as well as the structure of the general solution of the Sylvester-type matrix equation.

Publisher

Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

Subject

Ocean Engineering

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