%0 Journal Article
%T The problem on conjugation on solutions of a hyperbolic system along unknown contact boundary in sector (in Ukrainian)
%A R. V. Andrusyak
%A N. O. Burdeyna
%A V. M. Kyrylych
%J Matematychni Studii
%D 2013
%I Lviv Mathematical Society, VNTL Publishers
%X The conditions of solvability in the generalized sense of a problem with unknown breaking line of initial data for a hyperbolic quasilinear system with two independent variables in the sector were established. Applying the method of characteristics a solution of the problem is reduced to finding the fixed point of the operator whose existence and uniqueness are proved using the Banach theorem.
%K hyperbolic problem
%K quasi-linear equations
%K free discontinuity line
%K method of characteristic
%U http://matstud.org.ua/texts/2013/39_1/74-83.pdf