TY - JOUR AU - S. P. Lavrenyuk AU - N. P. Protsakh PY - 2006/09/25 Y2 - 2024/03/29 TI - Mixed problem for a nonlinear ultraparabolic equation that generalizes the diffusion equation with inertia JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 58 IS - 9 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3522 AB - We consider a mixed problem for a nonlinear ultraparabolic equation that is a nonlinear generalization of the diffusion equation with inertia and the special cases of which are the Fokker-Planck equation and the Kolmogorov equation. Conditions for the existence and uniqueness of a solution of this problem are established. ER -