On the growth of meromorphic solutions of the differential equation \((y')^m=R(z,y)\)

DOI10.1007/BF02392124zbMath0441.34005WikidataQ115392325 ScholiaQ115392325MaRDI QIDQ1142914

Steven B. Bank, Robert P. Kaufman

Publication date: 1980

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

growth of meromorphic solutionstranscendental meromorphic solutionYosida-Malmquist theorem

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items (21)

Meromorphic solutions of algebraic difference equations ⋮ New contributions to the related work of Paul Appell, Lazarus Fuchs, Georg Hamel, and Paul Painlevé on nonlinear differential equations whose solutions are free of movable branch points ⋮ Meromorphic solutions of first-order algebraic differential equations ⋮ On meromorphic solutions of some algebraic partial differential equations on \(C^n\) ⋮ On factorizable solutions of the differential equation \((f')^2=a_0(z)(f-a_1(z))^2f\) ⋮ Existence of meromorphic solutions of first-order difference equations ⋮ On meromorphic solutions of nonlinear partial differential equations of first order ⋮ On meromorphic solutions of Malmquist type difference equations ⋮ On the growth of meromorphic and entire solutions of second-order algebraic differential equation ⋮ On meromorphic solutions of linear partial differential equations of second order ⋮ Some properties of algebraic difference equations of first order ⋮ Weakly repelling fixpoints and the connectivity of wandering domains ⋮ On algebroid solutions of some algebraic differential equations in the complex plane ⋮ Unnamed Item ⋮ Meromorphic solutions of delay differential equations related to logistic type and generalizations ⋮ Admissible solutions of second order differential equations ⋮ Entire solutions of certain partial differential equations in \(\mathbb{C}^n\) ⋮ Study on the existence of solutions to two specific types of differential-difference equations ⋮ On the growth of components of meromorphic solutions of systems of complex differential equations ⋮ On the conjecture of Gackstatter and Laine concerning the differential equation \((w')^ n=\sum^{m}_{j=0}a_ j(z)w^ j\) ⋮ On the value distribution theory of elliptic functions

Cites Work

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• Eindeutige Lösungen der Differentialgleichung \(w'=R(z,w)\)
• On meromorphic solutions of first-order differential equations
• Some remarks on Briot-Bouquet differential equations. II
• Zur Theorie der Riccatischen Differentialgleichung
• Einige Eigenschaften der Lösungen von \(w' = a(z) + b(z)w + c(z)w^2\)
• Asymptotic properties of entire transcendental solutions of algebraic differential equations
• Zur Theorie der gewohnlichen Differentialgleichungen im Komplexen
• On some generalizations of the Malmquist theorem.
• A remark on meromorphic solutions of differential equations

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