
doi: 10.1007/bf01063168
Summary: The problem with nonlocal time conditions and periodicity conditions in space variables for Shilov parabolic equations of arbitrary order with constant coefficients is studied. Conditions of existence and uniqueness of a classical solution of the problem are established. The metric theorems on lower bounds of small denominators which appear in the construction of a solution of the problem are proved.
small denominators, Shilov parabolic equations, Initial-boundary value problems for higher-order parabolic equations, nonlocal time conditions
small denominators, Shilov parabolic equations, Initial-boundary value problems for higher-order parabolic equations, nonlocal time conditions
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