Subnormal solutions of second order linear differential equations with periodic coefficients

DOI10.1007/BF03323411zbMath0804.34009OpenAlexW1988314575MaRDI QIDQ1329592

Gary G. Gundersen, Enid M. Steinbart

Publication date: 12 July 1994

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323411

zbMATH Keywords

meromorphic functionssecond order linear differential equationsubnormal solutionNevanlinna characteristic functionLandau notation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Ordinary differential equations in the complex domain (34M99)

Related Items (9)

Completely regular growth solutions of second order complex linear differential equations ⋮ On subnormal solutions of periodic differential equations ⋮ Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory ⋮ Nonexistence of a subnormal solution of certain second order periodic differential equations ⋮ Numbers of subnormal solutions for higher order periodic differential equations ⋮ On subnormal solutions of second order linear periodic differential equations ⋮ Some results on the solutions of higher-order linear differential equations ⋮ Subnormal solutions of second order nonhomogeneous linear periodic differential equations ⋮ Subnormal solutions of second-order nonhomogeneous linear differential equations with periodic coefficients

Cites Work

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• Three results in the value-distribution theory of solutions of linear differential equations
• Finite Order Solutions of Second Order Linear Differential Equations
• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
• On the explicit determination of certain solutions of periodic differential equations
• Subnormale Lösungen der Differentialgleichung: w” + p(e^z)w’ + q(e^z) w + 0

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