| Authors | Abdolali Neamaty and Seyfollah Mosazadeh |
|---|---|
| Journal | Canadian Mathematical Bulletin |
| Paper Type | Full Paper |
| Published At | 2011 |
| Journal Grade | Scientific - research |
| Journal Type | Typographic |
| Journal Country | Canada |
| Journal Index | ISI |
Abstract
In this paper, we are going to investigate the canonical property of solutions of systems of differential equations having a singularity and turning point of even order. First, by a replacement, we transform the system to the Sturm-Liouville equation with turning point. Using of the asymptotic estimates provided by Eberhard, Freiling, and Schneider for a special fundamental system of solutions of the Sturm-Liouville equation, we study the infinite product representation of solutions of the systems. Then we transform the Sturm-Liouville equation with turning point to the equation with singularity, then we study the asymptotic behavior of its solutions. Such representations are relevant to the inverse spectral problem