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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019 Volume 173, Pages 126–131 (Mi into561)

This article is cited in 1 paper

Mean-value formula for a hyperbolic equation with a factorizable operator

M. V. Polovinkina

Voronezh State University of Engineering Technologies

Abstract: A mean-value formula for a linear partial differential hyperbolic equation with an operator splitting into first-order factors is obtained. This formula can be interpreted as an extension of the Asgeirsson principle to the case considered.

Keywords: accompanying distribution, mean-value formula, factorization of a differential operator, inclusion-exception formula.

UDC: 517.956.226

MSC: 35J15

DOI: 10.36535/0233-6723-2019-173-126-131



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