Abstract
The paper considers the solutions of linear periodic differential equations introduced by Bank and Laine [6]. In [3] Bank proposed a method to solve certain periodic differential equations with few zeros. The current paper offers alternative methods to deal with zero-free solutions and we obtain more precise results. Our results complement Bank’s method. We also make precise a related result of Bank in [4].
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This research was partially supported by RGC Competitive Earmarked Research Grant HKUST 711/96P
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Chiang, YM. On The Zero-Free Solutions of Linear Periodic Differential Equations In The Complex Plane. Results. Math. 38, 213–225 (2000). https://doi.org/10.1007/BF03322009
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DOI: https://doi.org/10.1007/BF03322009