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On the vanishing viscosity method for first order differential-functional IBVP

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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.

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  1. Institute of Mathematics, University of Gdańsk, Wit Stwosz 57, 80-952, Gdańsk, Poland

    Krzysztof A. Topolski

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  1. Krzysztof A. Topolski
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Correspondence to Krzysztof A. Topolski.

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Supported by KBN grant 2 PO3A, 01811.

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Topolski, K.A. On the vanishing viscosity method for first order differential-functional IBVP. Czech Math J 58, 927–947 (2008). https://doi.org/10.1007/s10587-008-0061-4

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