Zeros of solutions and of Wronskians for the differential equation $L_ ny+p(x)y=0$
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- by Uri Elias PDF
- Trans. Amer. Math. Soc. 324 (1991), 27-40 Request permission
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.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- 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