Ludmila S. Pulkina
Abstract:
In this article, we consider a problem for hyperbolic equation with standard
initial data and nonlocal condition. A distinct feature of this
problem is that the nonlocal second kind integral condition degenerates and
turns into a first kind. This has an important bearing on the method of the
study of solvability. All methods worked out earlier for this purpose break
down in the case under consideration.
We propose a new approach which enables to prove a unique solvability of
the nonlocal problem with degenerate integral condition.
Submitted May 12, 2016. Published July 15, 2016.
Math Subject Classifications: 35L10, 35L20, 35L99.
Key Words: Nonlocal problem; hyperbolic equation; integral condition;
dynamical boundary condition; degenerate integral condition.
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Ludmila S. Pulkina Samara University Samara, Russia email: louise@samdiff.ru |
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