On Disconjugate Differential Systems

Abstract

1. Introduction. Let F, G (and all capital letters to be used below) denote n by n matrices the elements of which are real-valued continuous functions on an interval a ≤t ≤ b. Correspondingly, by a solution x = x(t) of a differential system1,with det G(t) ≠ 0, or of a differential system2,will be meant a (vector) solution all n components of which are real-valued.