In this paper, a classification of semidiscrete equations of hyperbolic type
is carried out. We study the class of equations of the form
dxdun+1ββ=f(dxdunββ,un+1β,unβ), here is
the unknown function unβ(x) depends on one discrete n and one continuous
x variables. The classification is based on the requirement for the existence
of higher symmetries in the discrete and continuous directions. The case is
considered when the symmetries are of order 3 in both directions. As a result,
a list of equations with the required conditions is obtained.Comment: 14 pages (in Russian