On the meromorphic solutions of linear differential equations on the complex plane

DOI10.1016/J.JMAA.2009.11.018zbMath1194.34161OpenAlexW2070599747MaRDI QIDQ847059

Jun-Feng Xu, Ting-Bin Cao, Zong Xuan Chen

Publication date: 12 February 2010

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.2009.11.018

zbMATH Keywords

linear differential equationsmeromorphic functioniterated order

Mathematics Subject Classification ID

Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (24)

RADIAL OSCILLATION OF LINEAR DIFFERENTIAL EQUATION ⋮ Growth properties of meromorphic solutions of some higher-order linear differential-difference equations ⋮ On meromorphic solutions of some linear differential equations with entire coefficients being Fabry gap series ⋮ Growth and oscillation of some polynomials generated by solutions of complex differential equations ⋮ On the meromorphic solutions of some linear difference equations ⋮ Unnamed Item ⋮ On \([p,q_{,\varphi }\)-order and complex differential equations] ⋮ On the Growth and Oscillation of Fixed Points of Solutions of Linear Differential Equations with Meromorphic Coefficients ⋮ Growth of solutions of linear difference equations with meromorphic coefficients in terms of iterated \(p\)-\(\phi\) order ⋮ On the growth of meromorphic solutions of homogeneous and non-homogeneous linear difference equations in terms of (p,q)-order ⋮ ON GROWTH PROPERTIES OF TRANSCENDENTAL MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS OF HIGHER ORDER ⋮ Nevanlinna Theory for Finding Meromorphic Solutions of Cubic-Quintic Ginzburg–Landau Equation Arising in Nonlinear Dynamics ⋮ Some results of meromorphic solutions of second-order linear differential equations ⋮ GROWTH OF \(\varphi\)–ORDER SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS ON THE COMPLEX PLANE ⋮ Unnamed Item ⋮ A collocation method to find solutions of linear complex differential equations in circular domains ⋮ Meromorphic solutions of delay differential equations related to logistic type and generalizations ⋮ Meromorphic solutions of nonlinear ordinary differential equations ⋮ Some results related to complex linear and nonlinear difference equations ⋮ On hyper-order of solutions of higher order linear differential equations with meromorphic coefficients ⋮ Study of the growth properties of meromorphic solutions of higher-order linear difference equations ⋮ Meromorphic solution of a class of non-linear differential equations with sharing one value ⋮ Unnamed Item ⋮ Meromorphic solutions to linear differential equations with entire coefficients of [p,q-order]

Cites Work

• The rate of growth of solutions of linear differential equations with meromorphic coefficients
• Linear differential equations with solutions of finite iterated order
• The complex oscillation theory of certain non-homogeneous linear differential equations with transcendental entire coefficients
• The growth of solutions to second-order linear differential equations with meromorphic coefficients
• Estimates on the growth of meromorphic solutions of linear differential equations
• On the complex oscillation of higher order linear differential equations with meromorphic coefficients
• On the growth of solutions of a class of higher order linear differential equations with coefficients having the same order
• Quantitative estimations on the zeros and growths of entire solutions of linear differential equations
• On the iterated order and the fixed points of entire solutions of some complex linear differential equations
• Growth order of Meromorphic Solutions of Higher-order Linear Differential Equations
• On the Meromorphic Solutions of Non-Homogeneous Linear Differential Equations with Polynomial Coefficients
• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
• On the rate of growth of entire functions of fast growth
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• Fixed Points and Hyper Order of Differential Polynomials Generated by Solutions of Differential Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the meromorphic solutions of linear differential equations on the complex plane