On the zeros of a fundamental system of solutions of the N th order linear differential equations
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ID: 115416
1970
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Abstract
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.
| Reference Key |
eloff1970annalion
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| Authors | C. L. Eloff;C. L. Eloff; |
| Journal | annali di matematica pura ed applicata |
| Year | 1970 |
| DOI |
doi:10.1007/BF02415108
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