The Darboux-Stefan problems with nonlocal conditions for one-dimensional hyperbolic equations and systems

Abstract

Boundary value problems with nonlocal conditions (undivided and integral) for a strictly hyperbolic equation of arbitrary order and a system of hyperbolic equations of the (cid:28)rst order in the case of a degenerate initial condition interval to a point are considered, the case where the boundaries of the domain are unknown ahead is also considered.