Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2010-03-01
Delayed Quasilinear Evolution Equations with BV-CoefficientsTomáš Bárta (1) Charles University, Praha, Czech Republic
In this paper we investigate local and global existence as well as asymptotic behavior of the solution for a class of abstract (hyperbolic) quasilinear equations perturbed by bounded delay operators. We assume that the leading operator is of bounded variation in time. In the last section, the abstract results are applied on a heat conduction model.
Keywords: Evolution equations, delay equations, integrodiﬀerential equations
Bárta Tomáš: Delayed Quasilinear Evolution Equations with BV-Coefficients. Z. Anal. Anwend. 29 (2010), 149-162. doi: 10.4171/ZAA/1403