Tohoku Mathematical Journal
2003
March
SECOND SERIES VOL. 55, NO. 1

Tohoku Math. J.
55 (2003), 99-108

Title RICCATI DIFFERENTIAL EQUATIONS WITH ELLIPTIC COEFFICIENTS II

Author Katsuya Ishizaki, Ilpo Laine, Shun Shimomura and Kazuya Tohge

(Received November 15, 2001, revised March 8, 2002)
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.

2000 Mathematics Subject Classification. Primary 34M05; Secondary 34A34.
Key words and phrases. Meromorphic function, Riccati equation, Weierstrass pe-function.

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