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关于阻抗尖劈绕射问题的Malyuzhinets泛函方程的解

SOLUTION OF MALYUZHINETS FUNCTIONAL EQUATIONS ON IMPEDANCE WEDGE DIFFRACTION PROBLEM

  • 摘要: 在文献中,Malyuzhinets给出了阻抗尖劈绕射问题的解。关键是Malyuzhinets泛函方程的求解,但文献并未给出如何得到解的。文献利用无穷乘积理论给出了Malyuzhinets泛函方程的详细求解过程,但其中存在一些错误和不明确之处。
    本文改正了文献的错误,同时也给出了Malyuzhinets泛函方程的另一种较简单的解法以兹比较。

     

    Abstract: A solution of the impedance wedge diffraction problem has been given by Malyuzhinets in reference. The key to the problem is the solution of Malyuzhinets functional equations. However, how to get the solution of the functional equations is not given in reference. A detailed process to get the solution of the functional equations is provided by using the infinite product thory in reference, but in which there are some errors and indistinct places.
    In this paper these errors in reference are corrected and another simpler method to get the solution of the functional equations is also provided for the purpose of comparison.

     

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