Sturm-Liouville equations with Besicovitch almost-periodicity
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- by A. Dzurnak and A. B. Mingarelli PDF
- Proc. Amer. Math. Soc. 106 (1989), 647-653 Request permission
Abstract:
In this article we extend a former result [Proc. Amer. Math. Soc. 97, (1986), 269-272] dealing with the oscillation of (Bohr) almost-periodic Sturm-Liouville operators to the generalization of such as considered by Besicovitch. This includes all the classical extensions of almost periodic functions as considered by Stepanoff and Weyl.References
- A. S. Besicovitch, Almost periodic functions, Dover Publications, Inc., New York, 1955. MR 0068029 H. Bohr, Almost-periodic functions, Chelsea, New York, 1951, 114p.
- S. G. Halvorsen and A. B. Mingarelli, On the oscillation of almost-periodic Sturm-Liouville operators with an arbitrary coupling constant, Proc. Amer. Math. Soc. 97 (1986), no. 2, 269–272. MR 835878, DOI 10.1090/S0002-9939-1986-0835878-3
- A. Ju. Levin, A comparison principle for second-order differential equations, Soviet Math. Dokl. 1 (1960), 1313–1316. MR 0124563
- Lawrence Markus and Richard A. Moore, Oscillation and disconjugacy for linear differential equations with almost periodic coefficients, Acta Math. 96 (1956), 99–123. MR 80813, DOI 10.1007/BF02392359
- Angelo B. Mingarelli and S. Gotskalk Halvorsen, Nonoscillation domains of differential equations with two parameters, Lecture Notes in Mathematics, vol. 1338, Springer-Verlag, Berlin, 1988. MR 959733, DOI 10.1007/BFb0080637
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 647-653
- MSC: Primary 34C10; Secondary 34B25, 34C27
- DOI: https://doi.org/10.1090/S0002-9939-1989-0938910-4
- MathSciNet review: 938910