Electron. J. Diff. Eqns., Vol. 2002(2002), No. 62, pp. 1-13.

A three-point boundary-value problem for a hyperbolic equation with a non-local condition

Said Mesloub & Salim A. Messaoudi

Abstract:
We use an energy method to solve a three-point boundary-value problem for a hyperbolic equation with a Bessel operator and an integral condition. The proof is based on an energy inequality and on the fact that the range of the operator generated is dense.

Submitted April 16, 2002. Published July 3, 2002.
Math Subject Classifications: 35L20, 35L67, 34B15.
Key Words: Wave equation, Bessel operator, nonlocal condition.

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Said Mesloub
Department of Mathematics
University of Tebessa
Tebessa 12002, Algeria
e-mail: mesloubs@yahoo.com
Salim A. Messaoudi
Department of Mathematical Sciences
KFUPM
Dhahran 31261, Saudi Arabia
e-mail: messaoud@kfupm.edu.sa

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