On Nontrivial Solutions of a Homogeneous Two-Point (In Time) Problem for the System of Equations of the Dynamic Theory of Elasticity

We establish sufficient conditions for the existence of nontrivial solutions of a homogeneous system of Lamé equations satisfying homogeneous two-point (in time) conditions. The differential-symbol method is used to construct the required solutions.

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Bibliographic Details
Published in:	Journal of mathematical sciences (New York, N.Y.) Vol. 254; no. 2; pp. 261 - 270
Main Authors:	Nytrebych, Z. M., Il’kiv, V. S., Pukach, P. Ya, Malanchuk, O. M.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01-04-2021 Springer Nature B.V
Subjects:	Differential equations Lame functions Mathematical analysis Mathematics Mathematics and Statistics
Online Access:	Get full text
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Description
Summary:	We establish sufficient conditions for the existence of nontrivial solutions of a homogeneous system of Lamé equations satisfying homogeneous two-point (in time) conditions. The differential-symbol method is used to construct the required solutions.
ISSN:	1072-3374 1573-8795
DOI:	10.1007/s10958-021-05302-9