Asymptotic theory for third-order differential equations of Euler type. (English) Zbl 0699.34055
The paper deals with the asymptotic form of three linearly independent solutions of the third-order differential equation \((q(qy')')'+py'+ry=0\) as \(x\to \infty\) where \(q\neq 0\) in some interval [a,\(\infty)\). The critical (Euler) case is identified in terms of some relation between q and r and analyzed separately.
Reviewer: V.Răsvan
MSC:
| 34E05 | Asymptotic expansions of solutions to ordinary differential equations |
Keywords:
third-order differential equationReferences:
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