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On the vanishing viscosity method for first order differential-functional IBVP
Authors:Krzysztof A Topolski
Institution:(1) Institute of Mathematics, University of Gdańsk, Wit Stwosz 57, 80-952 Gdańsk, Poland
Abstract:We consider the initial-boundary value problem for first order differential-functional equations. We present the ‘vanishing viscosity’ method in order to obtain viscosity solutions. Our formulation includes problems with a retarded and deviated argument and differential-integral equations. Supported by KBN grant 2 PO3A, 01811.
Keywords:viscosity solutions  first order equation  parabolic equation  differential functional equations
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