Non-linear differential equations with transcendental meromorphic solutions

DOI10.1017/S1446788700002305zbMath0984.34073MaRDI QIDQ2726652

Katsuya Ishizaki, Yue Fei Wang

Publication date: 28 April 2002

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

transcendental meromorphic solution

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Cites Work

• Nevanlinna theory and complex differential equations
• Estimates for the Nevanlinna characteristics of some classes of meromorphic functions and their applications to differential equations
• On meromorphic solutions of first-order differential equations
• Newton's method and a class of meromorphic functions without wandering domains
• On the growth of a meromorphic function and its derivatives
• Meromorphe lösungen der differentialgleichung
• Meromorphic solutions of the Riccati differential equation
• On the Zeros of Solutions of Linear Differential Equations of the Second Order
• Iteration of meromorphic functions
• On a theorem of gol'dberg concerning meromorphic solutions of algebraic differential equations
• Weakly repelling fixpoints and the connectivity of wandering domains

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