Reconstruction of Singular Second-order Differential Equations From Spectral Characteristics
| Autor: | Seyfollah Mosazadeh |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Differential equation
Applied Mathematics 010102 general mathematics Spectrum (functional analysis) Mathematical analysis Interval (mathematics) Eigenfunction Inverse problem 01 natural sciences 010101 applied mathematics Completeness (order theory) Gravitational singularity Boundary value problem 0101 mathematics Mathematics |
| Zdroj: | Acta Mathematicae Applicatae Sinica, English Series. 35:645-654 |
| ISSN: | 1618-3932 0168-9673 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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