ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

The problem on conjugation on solutions of a hyperbolic system along unknown contact boundary in sector (in Ukrainian)

Journal: Matematychni Studii (Vol.39, No. 1)

Publication Date:

Authors : ; ; ;

Page : 74-83

Keywords : hyperbolic problem; quasi-linear equations; free discontinuity line; method of characteristic;

Source : Downloadexternal Find it from : Google Scholarexternal

Abstract

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.

Last modified: 2014-01-13 20:09:00