Solutions of Higher Order Linear Differential Equations

2020/04/09 by Dinesh Kumar, Sanjay Kumar, Kumar, Dinesh +3
Mathematics · #30D35 #34M10 #Complex Variables (math.CV) #Differential Equations and Numerical Methods #FOS: Mathematics #Meromorphic and Entire Functions #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2004.04541

openalex publication_date 2020/04/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the higher order linear differential equation possesses all solutions of infinite order under certain conditions by extending the work of authors about second order differential equation \citedsm2.

Citations

• Order and Hyper-order of Solutions of Second Order Linear Differential\n Equations
• Non-Existence of Finite Order Solution of Non-homogeneous Second Order\n Linear Differential Equations

Related

• Infinite order solutions of second order linear differential equations
• Order and Hyper-order of Solutions of Second Order Linear Differential\n Equations
• Growth of (α,β,γ)-order solutions of linear differential equations with entire coefficients
• Growth of Solutions of Second Order Linear Differential Equations
• [Infinite Order of Growth of Solutions of Second Order Linear Differential Equations