Bokalo M. M.
Ukr. Mat. Zh. - 2016. - 68, № 9. - pp. 1155-1168
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.
Ukr. Mat. Zh. - 2001. - 53, № 11. - pp. 1468-1481
We investigate the well-posedness of a problem for a system of functional differential equations of different types without initial conditions. Each equation consists of two parts one of which has the same structure as a parabolic equation or an ordinary differential equation with parameters, while the other contains functionals defined on a space of functions continuous in space variables.