On nonoscillatory linear differential equations of second order
HTML articles powered by AMS MathViewer
- by Philip Hartman
- Proc. Amer. Math. Soc. 64 (1977), 251-259
- DOI: https://doi.org/10.1090/S0002-9939-1977-0463565-7
- PDF | Request permission
Abstract:
For the equation $y'' + q(t)y = 0$, we derive necessary conditions for nonoscillation in terms of “general means” of $Q(t) = \smallint _0^tq ds$.References
- W. J. Coles and D. Willett, Summability criteria for oscillation of second order linear differential equations, Ann. Mat. Pura Appl. (4) 79 (1968), 391–398. MR 236462, DOI 10.1007/BF02415185
- Philip Hartman, On non-oscillatory linear differential equations of second order, Amer. J. Math. 74 (1952), 389–400. MR 48667, DOI 10.2307/2372004
- Philip Hartman, Ordinary differential equations, S. M. Hartman, Baltimore, Md., 1973. Corrected reprint. MR 0344555
- J. W. Macki and J. S. W. Wong, Oscillation theorems for linear second order ordinary differential equations, Proc. Amer. Math. Soc. 20 (1969), 67–72. MR 235202, DOI 10.1090/S0002-9939-1969-0235202-3
- D. Willett, On the oscillatory behavior of the solutions of second order linear differential equations, Ann. Polon. Math. 21 (1969), 175–194. MR 249723, DOI 10.4064/ap-21-2-175-194
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 64 (1977), 251-259
- MSC: Primary 34C10
- DOI: https://doi.org/10.1090/S0002-9939-1977-0463565-7
- MathSciNet review: 0463565