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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
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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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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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