On the zeros of a fundamental system of solutions of theN th order linear differential equations
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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.
KeywordsDifferential Equation Linear Differential Equation Comparison Theorem Fundamental System Order Linear Differential Equation
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© Nicola Zanichelli Editore 1968