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2003 Riccati differential equations with elliptic coefficients. II
Katsuya Ishizaki, Ilpo Laine, Shun Shimomura, Kazuya Tohge
Tohoku Math. J. (2) 55(1): 99-108 (2003). DOI: 10.2748/tmj/1113247448

Abstract

We study a Riccati differential equation whose coefficient is expressible in terms of a special Weierstrass pe-function. We show that all the solutions are meromorphic, and examine the periodicity of them.

Citation

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Katsuya Ishizaki. Ilpo Laine. Shun Shimomura. Kazuya Tohge. "Riccati differential equations with elliptic coefficients. II." Tohoku Math. J. (2) 55 (1) 99 - 108, 2003. https://doi.org/10.2748/tmj/1113247448

Information

Published: 2003
First available in Project Euclid: 11 April 2005

zbMATH: 1088.34074
MathSciNet: MR1956083
Digital Object Identifier: 10.2748/tmj/1113247448

Subjects:
Primary: 34M05

Keywords: Mermorphic function , Riccati equation , Weierstrass pe-function

Rights: Copyright © 2003 Tohoku University

Vol.55 • No. 1 • 2003
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