On complex oscillation and a problem of Ozawa

DOI10.2996/kmj/1138037272zbMath0609.34041OpenAlexW2029529779MaRDI QIDQ1086729

James K. Langley

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2996/kmj/1138037272

zbMATH Keywords

Wronskiancomplex oscillationsecond order differential equation

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items

Research questions on meromorphic functions and complex differential equations ⋮ Differential polynomials generated by solutions of second order non-homogeneous linear differential equations ⋮ Dual exponential polynomials and a problem of Ozawa ⋮ Dual exponential polynomials and linear differential equations ⋮ On the exponent of convergence for the zeros of the solutions of \(y^{\prime\prime}+Ay^{\prime}+By=0\) ⋮ Unnamed Item ⋮ On the oscillation of certain second-order linear differential equations ⋮ On a question of Gundersen concerning the growth of solutions of linear differential equations ⋮ Unnamed Item ⋮ Oscillation of solutions of linear differential equations ⋮ On the zeros of the solutions of the equation \(w^{(k)} + (Re^ p + Q)w = 0\) ⋮ Infinite growth of solutions of second order complex differential equation ⋮ Unnamed Item ⋮ Composite Bank-Laine functions and a question of Rubel ⋮ Growth of solutions of second order linear differential equations ⋮ On the growth of solutions of some second-order linear differential equations ⋮ On the frequency of complex zeros of solutions of certain differential equations ⋮ Growth of solutions of three order differential equations ⋮ On the growth of solutions of some higher order linear differential equations. ⋮ Relation between differential polynomials and small functions ⋮ Order and hyper-order of solutions of second order linear differential equations ⋮ Oscillation results on y″ + Ay = 0 in the complex domain with transcendental entire coefficients which have extremal deficiencies ⋮ On Zeros and Growth of Solutions of Second Order Linear Differential Equations ⋮ Finite Order Solutions of Second Order Linear Differential Equations ⋮ Unnamed Item ⋮ On the complex oscillation for a class of homogeneous linear differential equations ⋮ The growth of meromorphic solutions for a class of higher-order linear differential equations ⋮ Finite Order Solutions of Second Order Linear Differential Equations ⋮ On the growth and fixed points of solutions of second order differential equations with meromorphic coefficients

Cites Work

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• Über die subnormalen Lösungen der Differentialgleichung \(w+e^{-z} \cdot w'+\text{konst.} \cdot w = 0\)
• Slowly growing integral and subharmonic functions
• On the question of whether f″+ e^−zf′ + B(z)f = 0 can admit a solution f ≢ 0 of finite order
• [https://portal.mardi4nfdi.de/wiki/Publication:4740850 On the Oscillation Theory of f � � + Af = 0 where A is Entire]