This article investigates the spectral theory of the problem of the Regge-type with transmission conditions and discontinuous coefficients. We formulate a new linear operator, by which we can deal with simplicity and boundedness of the eigenpairs of the problem. The aim of this work is to conduct that the problem has an infinite number of simple positive eigenvalues.

中文翻译：

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Regge型问题的特征值和特征函数的行为

本文研究了具有透射条件和不连续系数的Regge型问题的谱理论。我们制定了一个新的线性算子，通过它我们可以处理问题本征对的简单性和有界性。这项工作的目的是使问题具有无限数量的简单正特征值。