| Authors | Abdolali Neamaty, Abdolhadi Dabbaghian and Seyfollah Mosazadeh |
|---|---|
| Journal | Int. J. Math. Anal |
| Paper Type | Full Paper |
| Published At | 2008 |
| Journal Grade | Scientific - research |
| Journal Type | Typographic |
| Journal Country | Bulgaria |
| Journal Index | Scopus |
Abstract
We consider the differential systems dy dt = iρ 1 R 1 (t) x , dx dt = iρR 2 (t) y (*) on a finite interval I = [t 0,t 1 ]. In this paper, we transform (*) to the equation with singularity and turning point. As a basic result we derive asymptotic estimates for a special fundamental system of solutions of the corresponding differential equation and determine the characteristic function and the eigenvalues