Boundary-value problems with integral conditions for a system of Lame equations in the space of almost periodic functions

We study a problem with integral boundary conditions in the time coordinate for a system of Lame equations of dynamic elasticity theory of an arbitrary dimension. We find necessary and sufficient conditions for the existence and uniqueness of solution in the class of almost periodic functions in the...

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Bibliographic Details
Published in:	Electronic journal of differential equations Vol. 2016; no. 304; pp. 1 - 12
Main Authors:	Volodymyr S. Il'kiv, Zinovii M. Nytrebych, Petro Ya. Pukach
Format:	Journal Article
Language:	English
Published:	Texas State University 28-11-2016
Subjects:	integral boundary conditions Lame equation small denominators
Online Access:	Get full text
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Summary:	We study a problem with integral boundary conditions in the time coordinate for a system of Lame equations of dynamic elasticity theory of an arbitrary dimension. We find necessary and sufficient conditions for the existence and uniqueness of solution in the class of almost periodic functions in the spatial variables. To solve the problem of small denominators arising while constructing solutions, we use the metric approach.
ISSN:	1072-6691