Behavior of the Eigenvalues and Eignfunctions of the Regge-Type Problem

Abstract

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.

Keywords

• spectral parameter
• selfadjoint
• Regge-type
• discontinuous point
• symmetric operator