On the Explicit Determination of Certain Solutions of Periodic Differential Equations of Higher Order |
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Authors: | Anja Baesch |
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Institution: | 1. Fachbereich Mathematik MA 8-2, TU Berlin, D — 10623, Berlin, Germany
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Abstract: | We consider the class of differential equations $ y^{(k)}+\Sigma_{k- 2}^{\nu=1}A_{\nu}y^{(\nu)}+A_0(z)y=0\ {\rm where}\ A_{1},\dots,A_{k- 2}$ are constants, k ≥ 3 and where A0(z) is a non-constant periodic entire function, which is a rational function of e z. In this paper we develop a method that enables us to decide if this equation can have solutions with few zeros, and we also present the construction of these solutions. |
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