Oscillation results for n-th order linear differential equations with meromorphic periodic coefficients

DOI10.1017/S0027763000008254zbMath1048.34143OpenAlexW1633704235MaRDI QIDQ4545219

Shun Shimomura

Publication date: 14 August 2002

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000008254

zbMATH Keywords

exponent of convergencezero-densityoscillation resultsmeromorphic periodic coefficients

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) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (2)

Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory ⋮ On the properties of a class of higher-order Mathieu equations originating from a parametric quantum oscillator

Cites Work

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• Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
• On the zeros of meromorphic solutions of second-order linear differential equations
• On the frequency of zeros of solutions of second order linear differential equations
• Three results in the value-distribution theory of solutions of linear differential equations
• Local solutions of \(w+A(z)w=0\) and branched polymorphic functions
• On determining the location of complex zeros of solutions of certain linear differential equations
• Zeros of meromorphic solutions of second order linear differential equations
• Some oscillation theorems for higher order linear differential equations with entire coefficients of small growth
• Oscillation results of certain higher order linear differential equations with periodic coefficients in the complex plane
• On the real zeros of solutions of f + A(z)f = 0 where A(z) is entire
• A further result on the complex oscillation theory of periodic second order linear differential equations
• Exceptional solutions of n-th order periodic linear differential equations
• An oscillation result of a third order linear differential equation with entire periodic coefficients
• On the oscillation theory of periodic linear differential equations
• Oscillation theory for higher order linear differential equations with entire coefficients
• On the explicit determination of certain solutions of periodic differential equations

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