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On Solutions of Hyperbolic Equations with Damping and Source Terms
by
Jianmin Zhu
Department of Mathematics and Computer Science, Fort Valley State University, Fort Valley, GA 31030, USA
The hyperbolic initial-boundary value problem with the damping term aut| ut| q-1 and the forcing term b( [ 1/(1-u)]) p, where p > 1, q > 1, a > 0, and b > 0 are given constants, is studied. Conditions necessary for the existence of a unique solution are obtained.
Date received: February 24, 2003
Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cakr-46.