Annali di Matematica Pura ed Applicata

, Volume 78, Issue 1, pp 41–54 | Cite as

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

  • C. L. Eloff


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.


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

© Nicola Zanichelli Editore 1968

Authors and Affiliations

  • C. L. Eloff
    • 1
  1. 1.University of the Orange Free StateBloemfontein

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