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.