Generalized d'Alembert Formula for the Wave Equation with Discontinuous Coefficients

被引：0

作者：

Anikonov, D. S. ^{[1
]}

Konovalova, D. S. ^{[2
]}

机构：

[1] Novosibirsk State Univ, Novosibirsk 630090, Russia

[2] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

DIFFERENTIAL EQUATIONS | 2019年 / 55卷 / 02期

关键词：

D O I：

10.1134/S0012266119020113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a second-order differential equation that is a mathematical model of transverse vibrations of a string or longitudinal vibrations of an elastic rod. The coefficients of the second derivatives are piecewise constant functions. An existence and uniqueness theorem is proved and an explicit formula is given for the generalized solution of the Cauchy problem.

引用

页码：270 / 273

页数：4

共 10 条

[1] ONE-DIMENSIONAL TRANSPORT EQUATIONS WITH DISCONTINUOUS COEFFICIENTS [J].