Please use this identifier to cite or link to this item:
https://elib.bsu.by/handle/123456789/335047
Title: | Classical solutions of a mixed problem for wave equation with discontinuous Сauchy conditions in a curvilinear half-strip |
Authors: | Korzyuk, V. I. Rudzko, J. V. Kolyachko, V. V. |
Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
Issue Date: | 2025 |
Publisher: | Минск : БГУ |
Citation: | Трансформация механико-математического и IT-образования в условиях цифровизации : материалы ІІ Междунар. науч.-практ. конф., Респ. Беларусь, Минск, 22–24 апр. 2025 г. В 2 ч. Ч. 1 / Белорус. гос. ун-т ; редкол.: Н. В. Бровка (гл. ред.) [и др.]. – Минск : БГУ, 2025. – С. 22-26. |
Abstract: | For a one-dimensional wave equation, we consider a mixed problem in a curvilinear half-strip. The initial conditions have a first-kind discontinuity at one point. The mixed problem models the problem of a longitudinal impact on a finite elastic rod with a movable boundary. We construct the solution using the method of characteristics in an explicit analytical form. For the problem in question, we prove the uniqueness of the solution and establish the conditions under which its classical solution exists |
Description: | Раздел І. Пленарные доклады |
URI: | https://elib.bsu.by/handle/123456789/335047 |
ISBN: | 978-985-881-796-1 978-985-881-797-8 (ч. 1) |
Licence: | info:eu-repo/semantics/openAccess |
Appears in Collections: | 2025. Трансформация механико-математического и IT-образования в условиях цифровизации |
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