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Transactions of the American Mathematical Society

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Zeros of solutions and of Wronskians for the differential equation $ L\sb ny+p(x)y=0$


Author: Uri Elias
Journal: Trans. Amer. Math. Soc. 324 (1991), 27-40
MSC: Primary 34C10
DOI: https://doi.org/10.1090/S0002-9947-1991-1005078-1
MathSciNet review: 1005078
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Abstract: The equation which is studied here is $ {L_n}y + p(x)y = 0,a \leq x \leq b$, where $ {L_n}$ is a disconjugate differential operator and $ p(x)$ is of a fixed sign. We prove that certain solutions of the equation and corresponding odd-order minors of the Wronskian have an equal number of zeros, and we apply this property to oscillation problems.


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DOI: https://doi.org/10.1090/S0002-9947-1991-1005078-1
Keywords: Linear differential equations, Wronskian, zeros of solutions
Article copyright: © Copyright 1991 American Mathematical Society