The asymptotic solution of linear differential systems

Abstract

In the paper which forms the basis for the modern asymptotic theory of linear differential systems, Levinson [22] considered the systemon an interval [a, ∞), where(1) A is a constant nUn matrix with n distinct eigenvalues and either(2a) R(x) is L(a, ∞)or(2b) R(x)→0 as x→∞ and R'(x) is L(a, ∞).