梁受迫振动方程的逆源问题

IF 0.5 Q3 MATHEMATICS Russian Mathematics Pub Date : 2023-08-01 DOI:10.3103/s1066369x23080017
U. D. Durdiev
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引用次数: 0

摘要

摘要研究了最低项变刚度系数有限长梁的受迫振动方程的正问题和反问题。直接问题是该方程的初边值问题,边界条件为一端固定,另一端自由。逆问题中的未知变量是右边的乘数,它取决于空间变量\(x\)。这个未知数是由直接问题的解通过指定一个积分重定义条件来确定的。用能量估计的方法证明了直接问题解的唯一性。利用相应椭圆算子的特征值和特征函数将问题简化为积分方程。用逐次逼近法证明了这些方程解的存在唯一性定理。
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Inverse Source Problem for the Equation of Forced Vibrations of a Beam
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来源期刊
Russian Mathematics
Russian Mathematics MATHEMATICS-
CiteScore
0.90
自引率
25.00%
发文量
0
期刊介绍: Russian Mathematics  is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.
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