Sergei A. Beilin
In this article we study an initial and boundary-value problem with a nonlocal integral condition for a one-dimensional wave equation. We prove existence and uniqueness of classical solution and find its Fourier representation. The basis used consists of a system of eigenfunctions and adjoint functions.
Submitted August 21, 2001. Published December 10, 2001.
Math Subject Classifications: 35L99, 35L05, 35L20.
Key Words: Mixed problem, non-local conditions, wave equation.
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