Admissible solutions of second order differential equations

DOI10.2748/tmj/1178227298zbMath0764.34002OpenAlexW2040119628MaRDI QIDQ1204158

Katsuya Ishizaki

Publication date: 1 April 1993

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227298

zbMATH Keywords

differential equationadmissible solutionsPainlevé equationstranscendental meromorphic function

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (2)

Admissible solutions of second order differential equations. II ⋮ Meromorphic solutions of some second order differential equations

Cites Work

• Über eine Klasse von Painlevéschen Differentialgleichungen. (On a class of differential equations of Painlevé type)
• Ein Malmquistscher Satz für algebraische Differentialgleichungen zweiter Ordnung. (A theorem of Malmquist for algebraic differential equations of second order)
• On the growth of meromorphic solutions of the differential equation \((y')^m=R(z,y)\)
• Exceptional values of differential polynomials
• Eindeutige Lösungen der Differentialgleichungen \(w=P(z,w)\)
• Meromorphe lösungen der differentialgleichung
• Deficient and ramified small functions for admissible meromorphic solutions of some differential equations
• Ein Malmquistscher Satz für algebraische Differentialgleichungen erster Ordnung.
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Zur Theorie der gewohnlichen Differentialgleichungen im Komplexen
• On the growth of meromorphic solutions of linear and algebraic differential equations.
• Meromorphic Functions That Share Four Values
• Meromorphic solutions of algebraic differential equations
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