  A general class of nonlocal cosmological models is considered. A new method
for solving nonlocal Friedmann equations is proposed, and solutions of the
Friedmann equations with nonlocal operator are presented. The cosmological
properties of these solutions are discussed. Especially indicated is $p$-adic
cosmological model in which we have obtained nonsingular bouncing solution and
string field theory tachyon model in which we have obtained full solution of
nonlocal Friedmann equations with $w=-1$ at large times. The possibility of
obtaining realistic value of cosmological constant from nonlocal cosmological
models is also discussed.
