A property of $yāā+p(x)y^{ā} +{1\over 2}p^{ā} (x)y=0$
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- by Gary D. Jones PDF
- Proc. Amer. Math. Soc. 33 (1972), 420-422 Request permission
Abstract:
It is shown that if $y''ā + p(x)yā + \tfrac {1}{2}pā(x)y = 0$ has an oscillatory solution, it has bases with 0, 1, 2, or 3 oscillatory elements.References
- George D. Birkhoff, On the solutions of ordinary linear homogeneous differential equations of the third order, Ann. of Math. (2) 12 (1911), no.Ā 3, 103ā127. MR 1503560, DOI 10.2307/2007241
- Walter Leighton, Ordinary differential equations, 2nd ed., Wadsworth Publishing Co., Inc., Belmont, Calif., 1966. MR 0197810
- W. R. Utz, Oscillating solutions of third order differential equations, Proc. Amer. Math. Soc. 26 (1970), 273ā276. MR 262602, DOI 10.1090/S0002-9939-1970-0262602-6
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 420-422
- MSC: Primary 34C10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0293170-2
- MathSciNet review: 0293170