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Global сlassical solvability of a problem with nonlocal conditions for degenerate hyperbolic system of the first order equations
Journal: Matematychni Studii (Vol.38, No. 1)Publication Date: 2012-07-01
Authors : Andrusyak R. V.; Kyrylych V. M.; Peliushkevych O. V.;
Page : 80-92
Keywords : hyperbolic system; method of characteristics; Banach theorem; fixed point;
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Abstract
Using the method of characteristics and the Banach fixed point theorem we established the existence and uniqueness of a global classical (smooth) solution to an initial-boundary value problem with nonlocal boundary conditions for a hyperbolic integro-differential system involving equations without time derivative of unknown functions.
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