TY - JOUR AU - R. V. Andrusyak AU - N. O. Burdeina AU - V. M. Kirilich PY - 2010/09/25 Y2 - 2024/03/28 TI - Quasilinear hyperbolic stefan problem with nonlocal boundary conditions JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 62 IS - 9 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2947 AB - Using the method of contracting mappings, we prove, for small values of time, the existence and uniqueness of a generalized Lipschitz solution of a mixed problem with unknown boundaries for a hyperbolic quasilinear system of first-order equations represented in terms of Riemann invariants with nonlocal (nonseparated and integral) boundary conditions. ER -