On four mixed problems for the string vibration equation with homogeneous nonlocal conditions

被引：0
作者：
A. A. Kuleshov
机构：
[1] Moscow State University,
来源：
Differential Equations | 2009年 / 45卷
关键词：
Wave Equation; Generalize Solution; Recursion Relation; Boundary Control; Mixed Problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider four mixed problems for the string vibration equation with boundary conditions and homogeneous nonlocal conditions of the first or second kind and with zero initial conditions. Using recursion relations, we find the generalized solutions of the abovementioned problems.
引用
收藏
页码：828 / 835
页数：7
相关论文
共 5 条
[1]  
Il’in V.A.(2000)Boundary Control of Vibrations on Two Ends in Terms of the Generalized Solution of the Wave Equation with Finite Energy Differ. Uravn. 36 1513-1528
[2]  
Il’in V.A.(2008)An Analytic Form of an Optimal Boundary Control by Displacement at One End of a String with a Model Nonlocal Boundary Condition of One of Four Types Dokl. Akad. Nauk 420 309-313
[3]  
Il’in V.A.(2008)Optimization of a Boundary Control by an Elastic Force at One End of a String with a Model Nonlocal Boundary Condition of One of Four Types Dokl. Akad. Nauk 420 442-446
[4]  
Il’in V.A.(2008)Optimization of a Boundary Control at One End of a String with a Model Nonlocal Boundary Condition Differ. Uravn. 44 1487-1498
[5]  
Il’in V.A.(2008)Uniqueness of Generalized Solutions of Mixed Problems for theWave Equation with Nonlocal Boundary Conditions Differ. Uravn. 44 672-680
1