A criterion for $n-n$ oscillations in differential equations of order $2n$
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- by Don B. Hinton
- Proc. Amer. Math. Soc. 19 (1968), 511-518
- DOI: https://doi.org/10.1090/S0002-9939-1968-0226111-3
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References
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- Walter Leighton, The detection of the oscillation of solutions of a second order linear differential equation, Duke Math. J. 17 (1950), 57โ61. MR 32065
- Walter Leighton, On self-adjoint differential equations of second order, J. London Math. Soc. 27 (1952), 37โ47. MR 46506, DOI 10.1112/jlms/s1-27.1.37
- G. Pรณlya, On the mean-value theorem corresponding to a given linear homogeneous differential equation, Trans. Amer. Math. Soc. 24 (1922), no.ย 4, 312โ324. MR 1501228, DOI 10.1090/S0002-9947-1922-1501228-5
- William T. Reid, Riccati matrix differential equations and non-oscillation criteria for associated linear differential systems, Pacific J. Math. 13 (1963), 665โ685. MR 155049, DOI 10.2140/pjm.1963.13.665
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Bibliographic Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 511-518
- MSC: Primary 34.42
- DOI: https://doi.org/10.1090/S0002-9939-1968-0226111-3
- MathSciNet review: 0226111