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О новой форме представления решения задачи Коши…
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2017. № 1
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appears to be a good model case for various methods of
solving partial differential equations. In this paper we study
the problem of representability of the solution of Cauchy
problem in the form of the quasi-Feynman formula, and
provide a positive answer to this problem. The quasi-
Feynman formula constructed in the paper is a new type of
expression, similar to the Feynman formula. It includes
multiple integrals of an infinitely increasing multiplicity.
The quasi-Feynman formulas are easier to prove
(compared to the Feynman formulas) but they provide
lengthier expression for the solution. The paper may be of
interest to the ones who work in the fields of functional
analysis and mathematical physics
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