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Delayed quasilinear evolution equations with application to heat flow
Authors:Tomáš Bárta
Institution:Department of Mathematical Analysis, Charles University of Prague, Sokolovska 83, 18675 Praha 8, Czech Republic
Abstract:In this paper we show local and global existence for a class of (hyperbolic) quasilinear equations perturbed by bounded delay operators. In the last section, the abstract results are applied to a heat conduction model (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Delay equations  heat conduction  quasilinear equations  integrodifferential equations
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