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ON A PERTURBED CONSERVATIVE SYSTEM OF SEMILINEAR WAVE EQUATIONS WITH PERIODIC-DIRICHLET BOUNDARY CONDITIONS

Published online by Cambridge University Press:  13 January 2010

JINHAI CHEN*
Affiliation:
Department of Mathematical and Statistical Sciences, University of Colorado Denver, Campus Box 170, PO Box 173364, Denver, CO 80217-3364, USA (email: cjh_maths@yahoo.com.cn)
DONAL O’REGAN
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland (email: donal.oregan@nuigalway.ie)
*
For correspondence; e-mail: cjh_maths@yahoo.com.cn
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Abstract

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In this paper, some existence and uniqueness results for generalized solutions to a periodic-Dirichlet problem for semilinear wave equations are given, using a global inverse function theorem. These results extend those known in the literature.

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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