ON LOGARITHMIC DERIVATIVES OF SOLUTIONS OF DISCONJUGATE LINEAR nTH ORDER DIFFERENTIAL EQUATIONS

Abstract

This chapter discusses the logarithmic derivatives of the solutions of disconjugate linear nth order differential equations. The differential equation is said to be disconjugate onIy if every solution x = x(t) 0 has at most n-1 zeros (counting multiplicities) on 1. The chapter discusses the general method solution of differential equation by replacing differential equation by a suitable first order system. Theorem remains correct if there is no assumption or assertion concerning u0, but if u0 is not otherwise specified, one can always make the trivial choice u0 0.