Four mixed problems for the vibrating string equation with boundary and nonlocal Dirichlet and Neumann conditions

被引：1

作者：

Kuleshov, A. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia

来源：

DOKLADY MATHEMATICS | 2009年 / 79卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

ONE END; OPTIMIZATION;

D O I：

10.1134/S106456240903017X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Four mixed problems for the vibrating string equation with boundary and nonlocal dirichlet and neumann conditions has been demonstrated. Weak solutions of the wave equation for the four mixed problems with zero initial conditions, the boundary condition, and the nonlocal condition with an arbitrary constant are provided. The weak solution in the class of the mixed problem for wave equation with zero initial conditions and one of the collections of the boundary and nonlocal conditions is a function that satisfies the integral identity.

引用

页码：362 / 364

页数：3

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