On existence and uniqueness of solution of hyperbolic differential inclusion with discontinuous nonlinearity

Authors
Guo, XM
Citation
Xm. Guo, On existence and uniqueness of solution of hyperbolic differential inclusion with discontinuous nonlinearity, J MATH ANAL, 241(2), 2000, pp. 198-213
Citations number
14
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
241
Issue
2
Year of publication
2000
Pages
198 - 213
Database
ISI
SICI code
0022-247X(20000115)241:2<198:OEAUOS>2.0.ZU;2-4
Abstract
In this paper a hyperbolic differential inclusion with a discontinuous and nonlinear multi-valued term is studied, and the existence and uniqueness of its global weak solutions are obtained. We also study the asymptotic behav ior of the solutions under suitable assumptions. (C) 2000 Academic Press.