A Matching technique and structure theorems for sturm-liouville boundary value problems with interior singularities
| Autor: | Thomas M. Acho |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2004 |
| Předmět: |
Mathematics (miscellaneous)
Mathematics Subject Classification Airy function Mathematical analysis Sturm–Liouville theory Gravitational singularity Boundary value problem Asymptotic approximation interior singularities turning points Whittaker functions WKB approximations Airy functions eigenfunction solutions eigenvalue relations Stokes phenomena outer expansions inner expansions higher order modes low order m Mathematics::Spectral Theory Eigenfunction WKB approximation Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Quaestiones Mathematicae; Vol 25, No 3 (2002); 275-287 |
| ISSN: | 1607-3606 1727-933X |
| Popis: | Asymptotic solutions for the interior double pole Sturm-Liouville boundary value problem are obtained using a method of matched asymptotic approximations. Employing asymptotic forms of the Whittaker functions, the WKB approximations and Airy functions, solutions are obtained valid and non-vanishing on the whole interval. Eigenvalue and eigenfunction theorems are then presented for a generalized parameter-dependent Sturm-Liouville eigenproblem. Mathematics Subject Classification (2000) : Primary 34B24, 34L20, 34E20; Secondary 33C10, 33C15, 34E05 Quaestiones Mathematicae 25 (2002), 275-287 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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