论文标题

奇异扩散操作员的逆问题

Inverse problem for singular diffusion operator

论文作者

Ergün, Abdullah

论文摘要

在这项研究中,考虑了具有跳跃条件的奇异扩散算子。为满足边界条件和跳跃条件的解决方案而得出了积分表示。研究了特征值和本征函数的某些特性。已经获得了特征值和本征功能的不良表示。 Weyl功能已显示了奇异扩散算子的重建。

In this study, singular diffusion operator with jump conditions is considered. Integral representations have been derived for solutions that satisfy boundary conditions and jump conditions. Some properties of eigenvalues and eigenfunctions are investigated. Asymtotic representation of eigenvalues and eigenfunction have been obtained. Reconstruction of the singular diffusion operator have been shown by the Weyl function.

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