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

Author R. V. Andrusyak, N. O. Burdeyna, V. M. Kyrylych
vkyrylych@ukr.net
Ivan Franko Natonal University of Lviv

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.
Keywords hyperbolic problem; quasi-linear equations; free discontinuity line; method of characteristic
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Pages 74-83
Volume 39
Issue 1
Year 2013
Journal Matematychni Studii
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