Annali di Matematica Pura ed Applicata

, Volume 78, Issue 1, pp 41–54

# On the zeros of a fundamental system of solutions of theN th order linear differential equations

• C. L. Eloff
Article

## Summary

A theorem, concerning necessary and sufficient conditions for solutions ui with of a n-th order linear differential equation to have another zero, is given. With the aid of this theorem which is a generalization of theorems by Gregus, seperation and comparison theorems are derived. Sufficient conditions are also given for the non-vanishing of solutions ui in an interval with the point a as one extremity.

## Keywords

Differential Equation Linear Differential Equation Comparison Theorem Fundamental System Order Linear Differential Equation
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