Feynman Formulas Representation of Semigroups Generated by Parabolic Difference-Differential Equations

• 作者: A. Yaakbarieh V. Sakbaev
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Difference-Differential Equations SEMIGROUP FEYNMAN Formula Chernoff Theorem
• 年，卷（期）: 2012,（4）
• 页码范围: 295-301
• 页数: 7页
• 分类号: O1

摘要

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.