TY - JOUR AU - M. S. Rasulov AU - Zh. O. Takhirov PY - 2017/12/25 Y2 - 2024/03/29 TI - Problem with free boundary for the systems of equations of reaction-diffusion type JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 69 IS - 12 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1812 AB - We consider a problem with free boundary for systems of quasilinear parabolic equations. A part of the boundary conditionsare given in the nonlocal form. The a priori estimates of the H¨older norms are established. These estimates are used toprove the existence and uniqueness of the solution. ER -