On the complex oscillation of non-homogeneous linear differential equations with meromorphic coefficients

DOI10.2996/KMJ/1138039527zbMath0757.34007OpenAlexW2057887390MaRDI QIDQ1198470

Zong Xuan Chen, Shi-An Gao

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.2996/kmj/1138039527

zbMATH Keywords

linear differential equationsmeromorphic functioncomplex oscillationzero-sequenceestimates of the exponent of convergencepole-sequence

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Ordinary differential equations in the complex domain (34M99)

Related Items (6)

The zero, pole and order of meromorphic solutions of differential equations with meromorphic coefficients ⋮ The complex oscillation theory of \(f^{\prime\prime} +Af^ \prime +Bf=F\), where \(A,B,F\not\equiv 0\) are transcendental meromorphic functions ⋮ Hayman’s classical conjecture on some nonlinear second-order algebraic ODEs ⋮ Oscillatory solutions of nonhomogeneous linear differential equations ⋮ Entire solutions of differential equations with finite order transcendental entire coefficients ⋮ The zero and order of some second order linear differential equations with transcendental meromorphic coefficients

Cites Work

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• Two theorems on the complex oscillation theory of non-homogeneous linear differential equations
• On the Meromorphic Solutions of Non-Homogeneous Linear Differential Equations with Polynomial Coefficients

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