Inverse and Expansion Problems with Boundary Conditions Rationally Dependent on the Eigenparameter
| Autor: | Aliasghar Jodayree Akbarfam, Seyfollah Mosazadeh |
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| Rok vydání: | 2019 |
| Předmět: |
Differential equation
Operator (physics) 010102 general mathematics Function (mathematics) Mathematics::Spectral Theory Inverse problem Eigenfunction 01 natural sciences 010101 applied mathematics Bounded function Applied mathematics Pharmacology (medical) Boundary value problem 0101 mathematics Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Bulletin of the Iranian Mathematical Society. 46:67-78 |
| ISSN: | 1735-8515 1017-060X |
| Popis: | In this paper, a boundary value problem consisting of a second-order differential equation of Sturm–Liouville type with boundary conditions rationally dependent on the eigenparameter in a bounded interval is investigated. We consider the inverse problem: given eigenvalues and eigenfunctions, we seek the corresponding potential function, uniquely. Moreover, we give the operator theoretic formula, construct the resolvent operator, and obtain the expansion formula with respect to the eigenfunctions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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