2002•Journal of Jiangxi Normal UniversityRequires access

On the Growth of Solutions of Second Order Linear Non-Homogeneous Differential Equations

Qiu Ling

Abstract

In this paper,the authors investigate the growth of infinite order solutions of linear non-homogeneous differential equations f ″+Af ′+Bf=F,where,A,B are entire functions,F is an entire function of finite order.When A(or B)has larger growth than B(or A),the authors estimate the hyper-order of infinite order solutions of the above equation.

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Key concepts: Homogeneous differential equation, Mathematics, Homogeneous, Order (exchange), Linear differential equation, Differential equation, Mathematical analysis, Function (biology)