The smoothness of solutions of the problems with nonlocal multi-point conditions for strictly hyperbolic equations

We consider the problem with nonlocal multi-point boundary conditions for high order in time strictly hyperbolic equation with variable coe±cients in Cartesian product of the time interval and the spatial multidimensional torus. We establish the solvability of this problem in the Sobolev spaces scal...

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Bibliographic Details
Main Author: V. S. Il'kiv
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2009-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/11/8