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has been cited by the following article:
TITLE: Feynman Formulas Representation of Semigroups Generated by Parabolic Difference-Differential Equations
AUTHORS: V. Sakbaev, A. Yaakbarieh
KEYWORDS: Difference-Differential Equations; Semigroup; Feynman Formula; Chernoff Theorem
JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.4, December 20, 2012
ABSTRACT: 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.