2017
Том 69
№ 6

All Issues

On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations

Pafyk S. P., Yakovets V. P.

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Abstract

For a system of linear differential equations of order $p$ with identically degenerate coefficient matrix of the leading derivatives, we establish conditions under which it has a general solution of the Cauchy type. The structure of this solution is determined. Conditions for the existence and uniqueness of a solution of the corresponding initial-value problem are also found.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 2, pp 328-340.

Citation Example: Pafyk S. P., Yakovets V. P. On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations // Ukr. Mat. Zh. - 2013. - 65, № 2. - pp. 296-305.

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