Non-Existence of Finite Order Solution of Non-homogeneous Second Order Linear Differential Equations

TL;DR

This paper investigates second order non-homogeneous linear differential equations with entire coefficients and establishes conditions under which these equations do not admit solutions of finite order.

Contribution

It provides new criteria that guarantee the non-existence of finite order solutions for a class of differential equations with entire coefficients.

Findings

Conditions for non-existence of finite order solutions

Applicable to second order non-homogeneous linear differential equations

Advances understanding of solution behavior for entire coefficient equations

Abstract

In this paper, we have considered second order non-homogeneous linear differential equations having entire coefficients. We have established conditions ensuring non-existence of finite order solution of such type of differential equations.