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Reconstruction of Singular Second-order Differential Equations From Spectral Characteristics

Reconstruction of Singular Second-order Differential Equations From Spectral Characteristics
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摘要 In this work,we study boundary value problems for second-order differential equations with singularities of second kind inside an interval.First,we investigate properties of the spectrum,then prove a theorem on completeness of eigenfunctions,and study the inverse problem of reconstructing the differential equation from spectral characteristics. In this work, we study boundary value problems for second-order differential equations with singularities of second kind inside an interval. First, we investigate properties of the spectrum, then prove a theorem on completeness of eigenfunctions, and study the inverse problem of reconstructing the differential equation from spectral characteristics.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2019年第3期645-654,共10页 应用数学学报(英文版)
基金 supported by the University of Kashan under grant number 464151/7
关键词 SINGULARITY SPECTRAL characteristics INVERSE problem COMPLETENESS WEYL function singularity spectral characteristics inverse problem completeness Weyl function
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