Theorems of Oscillation for Two Linear Differential Equations of the Second Order with Two Parameters

Abstract

To prove that this is true for k = ± <x>, it is only necessary to set XAi +pAt = /j.(A¡+ hAi) and to note that p(h) is continuous for A =0.Hence also X (k) is continuous and X(-r-oo) = \(-oo).* It is readily seen that k¡ --max [ Ai{x)l Ai{x)\, t2 = -min [Ai(.-)¡A%{x)