Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 76, pp. 1-8.

Title: Existence of solutions for one-dimensional wave equations 
       with nonlocal conditions
   
Author: Sergei A. Beilin (Samara State Univ., Russia)
                 
Abstract:  
  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.