On the Comparison of One Pair of Second Order Linear Differential Equations

Abstract

The main purpose of this paper is to study the controllability of solutions of one pair of linear differential equations f

+ A(z) f = 0 and g

+ B (z) g = 0. We study the growth and oscillation of w = d1f + d2g, where f, g are the solutions of the above equations and d1, d2 are entire functions of finite order.