On the conjugate points of fourth order, selfadjoint linear differential equations
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- by G. J. Etgen and J. B. Scott PDF
- Proc. Amer. Math. Soc. 29 (1971), 349-350 Request permission
Abstract:
In a fundamental paper, W. Leighton and Z. Nehari studied the oscillation of solutions of fourth order, selfadjoint differential equations. One of their principal results is a characterization of the conjugate points. In this characterization, however, the proof of the essential uniqueness of the solutions determining the conjugate points is not complete. The purpose of this note is to complete their proof thereby establishing the essential uniqueness of the solutions involved in characterizing the conjugate points.References
- Walter Leighton and Zeev Nehari, On the oscillation of solutions of self-adjoint linear differential equations of the fourth order, Trans. Amer. Math. Soc. 89 (1958), 325–377. MR 102639, DOI 10.1090/S0002-9947-1958-0102639-X J. B. Scott, On the nature of solutions of the linear homogeneous fourth order differential equation, Ph.D. Dissertation, University of Houston, Houston, Texas, 1970.
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 349-350
- MSC: Primary 34.42
- DOI: https://doi.org/10.1090/S0002-9939-1971-0280795-2
- MathSciNet review: 0280795