Riccati differential equationswith elliptic coefficients II

Katsuya Ishizaki; Ilpo Laine; Shun Shimomura; Kazuya Tohge

doi:10.2748/tmj/1113247448

Riccati differential equationswith elliptic coefficients II

Katsuya Ishizaki, Ilpo Laine, Shun Shimomura, Kazuya Tohge

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	99-108
Number of pages	10
Journal	Tohoku Mathematical Journal
Volume	55
Issue number	1
DOIs	https://doi.org/10.2748/tmj/1113247448
Publication status	Published - 2003

Keywords

Meromorphic function
Riccati equation
Weierstrass ℘ function

ASJC Scopus subject areas

Mathematics(all)

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10.2748/tmj/1113247448

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title = "Riccati differential equationswith elliptic coefficients II",

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.",

keywords = "Meromorphic function, Riccati equation, Weierstrass ℘ function",

author = "Katsuya Ishizaki and Ilpo Laine and Shun Shimomura and Kazuya Tohge",

year = "2003",

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AU - Ishizaki, Katsuya

AU - Laine, Ilpo

AU - Shimomura, Shun

AU - Tohge, Kazuya

PY - 2003

Y1 - 2003

N2 - 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.

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KW - Meromorphic function

KW - Riccati equation

KW - Weierstrass ℘ function

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DO - 10.2748/tmj/1113247448

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EP - 108

JO - Tohoku Mathematical Journal

JF - Tohoku Mathematical Journal

SN - 0040-8735

IS - 1

ER -

Riccati differential equationswith elliptic coefficients II

Abstract

Keywords

ASJC Scopus subject areas

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