Electronic Journal of Differential Equations,
Vol. 1999(1999), No. 45, pp. 1-6.

Title: A non-local problem with integral conditions for hyperbolic equations

Author: L. S. Pulkina (Samara State Univ., Russia)

Abstract: 
 A linear second-order hyperbolic equation with forcing
 and integral constraints on the solution is converted to a
 non-local hyperbolic problem. Using the Riesz representation 
 theorem and the Schauder fixed point theorem, we prove the 
 existence and uniqueness of a generalized solution. 

Submitted July 29, 1999. Published November 15, 1999.
Math Subject Classifications: 35L99, 35D05.
Key Words: Non-local problem; generalized solution.