Observation problems posed for the Klein-Gordon equation

Transversal vibrations $u=u(x,t)$ of a string of length $l$ with fixed ends are considered, where $u$ is governed by the Klein-Gordon equation $$u_{tt}(x,t) = a^2u_{xx}(x,t)+cu(x,t), \qquad (x,t) \in [0,l] \times \mathbb{R}, \quad a>0, \ c<0.$$ Sufficient conditions are obtained that guarantee...

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Bibliographic Details
Main Authors: András Szijártó, Jenő Hegedűs
Format: Article
Language:English
Published: University of Szeged 2012-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=771