Author(s)

V. Sakbaev, A. Yaakbarieh

Moscow Institute of Physics and Technology, People’s Friendship University of Russia, Moscow, Russia.

We establish that the Laplas operator with perturbation by symmetrised linear hall of displacement argument operators is the generator of unitary group in the Hilbert space of square integrable functions. The representation of semigroup of Cauchy problem solutions for considered functional differential equation is given by the Feynman formulas.

Difference-Differential Equations; Semigroup; Feynman Formula; Chernoff Theorem

V. Sakbaev and A. Yaakbarieh, "Feynman Formulas Representation of Semigroups Generated by Parabolic Difference-Differential Equations," American Journal of Computational Mathematics, Vol. 2 No. 4, 2012, pp. 295-301. doi: 10.4236/ajcm.2012.24040.