Nonexistence of a subnormal solution of certain second order periodic differential equations

DOI10.1016/J.JMAA.2013.01.035zbMath1268.34182OpenAlexW1973109725MaRDI QIDQ1947314

Li-Peng Xiao

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.01.035

zbMATH Keywords

periodic differential equationhyper-ordersubnormal solution

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

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• The hyper order of solutions of second order differential equations and subnormal solutions of periodic equations
• Subnormal solutions of second order linear differential equations with periodic coefficients
• On the hyperorder of solutions of higher order differential equations
• The growth of solutions of \(f+e^{-z}f'+Q(z)f=0\) where the order \((Q)=1\).
• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
• Finite Order Solutions of Second Order Linear Differential Equations
• Subnormale Lösungen der Differentialgleichung: w” + p(e^z)w’ + q(e^z) w + 0

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