Differential-algebraic boundary-value problems with the variable rank of leading-coefficient matrix

Чуйко, С. М.

doi:10.37069/1810-3200-2021-18-3-2

UMB

2021

DOI: 10.37069/1810-3200-2021-18-3-2

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Differential-algebraic boundary-value problems with the variable rank of leading-coefficient matrix

С. М. Чуйко

Abstract: Conditions for the solvability of the linear boundary-value problem for systems of differential-algebraic equations with the variable rank of the leading-coefficient matrix and the corresponding solution construction procedure have been found.

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2023

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Cited by 2 publications

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

Chuiko,

Nesmelova,

Kuz’mina

2023

J Math Sci

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

Chuiko,

Nesmelova,

Kuz’mina

2023

J Math Sci

View full text Add to dashboard Cite

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

Chuiko,

Nesmelova,

Kuz'mina

2023

UMB

View full text Add to dashboard Cite

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.

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Differential-algebraic boundary-value problems with the variable rank of leading-coefficient matrix

Abstract: Conditions for the solvability of the linear boundary-value problem for systems of differential-algebraic equations with the variable rank of the leading-coefficient matrix and the corresponding solution construction procedure have been found.

Cited by 2 publications

References 17 publications

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

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

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

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