2017
Том 69
№ 9

All Issues

Boundary-value problem for nonlinear degenerated parabolic equations with variable delay

Bokalo M. M., Il’nyts’ka О. V.


Abstract

We study boundary-value problem with Dirichlet conditions for nonlinear parabolic equations with variable delay (i.e., delay is a function of time) and degeneration at the initial time. The existence and uniqueness of the classical solution of this problem are proved. A priori estimates of this solution are obtained.

Citation Example: Bokalo M. M., Il’nyts’ka О. V. Boundary-value problem for nonlinear degenerated parabolic equations with variable delay // Ukr. Mat. Zh. - 2016. - 68, № 9. - pp. 1155-1168.