Department of Mathematics
Samara State University
1, Ac. Pavlov st. 443011 Samara, Russia
email: sbeilin@narod.ru
Sergei A. Beilin
Abstract:
A nonlocal problem for a wave equation with integral condition
is studied in a cylinder. The uniqueness and existence of a
generalized solution is proved with the help of an a priori
estimate and the Galerkin procedure, respectively.
Submitted April 13, 2006. Published September 8, 2006.
Math Subject Classifications: 35L05, 35L20, 35L99.
Key Words: Nonlocal problem; integral condition; wave equation.
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Sergei A. Beilin Department of Mathematics Samara State University 1, Ac. Pavlov st. 443011 Samara, Russia email: sbeilin@narod.ru |
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