| Abstract: | We study a boundary-value problem with general two-point conditions with respect to the time coordinate, and periodic conditions
on the spatial coordinates for Shilov-parabolic equations with constant coefficients. We construct the solution in the form
of a Fourier series. We establish conditions for existence and uniqueness of a classical solution of the problem. We prove
quantitative theorems on a lower bound for the small denominators that arise in solving the problem.
Translated fromMatematichni Methody i Fiziko-mekhanichni Polya, Vol. 38, 1995. |
