A theorem of Aliev
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- by A. C. Peterson
- Proc. Amer. Math. Soc. 23 (1969), 364-366
- DOI: https://doi.org/10.1090/S0002-9939-1969-0249720-5
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References
- R. G. Aliev, On certain properties of solutions of ordinary differential equations of fourth order, Sb. Aspirantsh, Kazan Institute (1964), 15-30. (Russian).
- Philip Hartman, Unrestricted $n$-parameter families, Rend. Circ. Mat. Palermo (2) 7 (1958), 123–142. MR 105470, DOI 10.1007/BF02854523
- Zdzisław Opial, On a theorem of O. Aramă, J. Differential Equations 3 (1967), 88–91. MR 206375, DOI 10.1016/0022-0396(67)90008-3
- A. C. Peterson, Distribution of zeros of solutions of a fourth order differential equation, Pacific J. Math. 30 (1969), 751–764. MR 252758
- Thomas L. Sherman, Conjugate points and simple zeros for ordinary linear differential equations, Trans. Amer. Math. Soc. 146 (1969), 397–411. MR 255912, DOI 10.1090/S0002-9947-1969-0255912-6
- 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
- Maurice Hanan, Oscillation criteria for third-order linear differential equations, Pacific J. Math. 11 (1961), 919–944. MR 145160
- R. G. Aliev, On the sign of the Green’s function of a boundary-value problem for a fourth-order differential equation, Izv. Vysš. Učebn. Zaved. Matematika 1964 (1964), no. 6 (43), 3–9 (Russian). MR 0171041
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 23 (1969), 364-366
- MSC: Primary 34.42
- DOI: https://doi.org/10.1090/S0002-9939-1969-0249720-5
- MathSciNet review: 0249720