| Authors | Seyfollah Mosazadeh |
|---|---|
| Journal | Iranian Journal of Mathematical Chemistry |
| Presented by | University of Kashan |
| Paper Type | Full Paper |
| Published At | 2013 |
| Journal Grade | Scientific - research |
| Journal Type | Typographic |
| Journal Country | Iran, Islamic Republic Of |
| Journal Index | ISI, ISC |
Abstract
In this paper, we investigate infinite product representation of the solution of a Sturm- Liouville equation with an indefinite weight function which has two zeros and/or singularities in a finite interval. First, by using of the asymptotic estimates provided in [W. Eberhard, G. Freiling, K. Wilcken-Stoeber, Indefinite eigenvalue problems with several singular points and turning points, Math. Nachr. 229, 51-71 (2001)] for a special fundamental system of the solutions of Sturm-Liouville equation, we obtain the asymptotic behavior of it’s solutions and eigenvalues, then we obtain the infinite product representation of solution of the equation