Necessary and sufficient conditions for the vibrations of a bounded string with directional derivatives in the boundary conditions

被引：0
|
作者：
F. E. Lomovtsev
E. N. Novikov
机构：
[1] Belarus State University,
来源：
Differential Equations | 2014年 / 50卷
关键词：
Partial Derivative; Classical Solution; Boundary Data; Directional Derivative; Forced Vibration;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain a closed-form expression for the classical solutions of a mixed problem describing the forced vibrations of a bounded string for two boundary modes with directional derivatives and time-dependent coefficients. We derive necessary and sufficient conditions on the right-hand side of the equation and the initial and boundary data.
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页码：128 / 131
页数：3
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