Abstract
In this paper two sequences of oscillation criteria for the self-adjoint second order differential equation (r(t)u′(t))′ + p(t)u(t) = 0 are derived. One of them deals with the case ∫∞ dt/r(t) = ∞, and the other with the case ∫∞ dt/r(t) < ∞.
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References
J. H. Barrett: Oscillation theory of ordinary linear differential equations. Adv. Math. 3 (1969), 415–509.
M. Cecchi, M. Marini and G. Villari: Integral criteria for a classification of solutions of linear differential equations. J. Differential Equations 99 (1992), 381–397.
J. Dzurina: Property (A) of advanced functional differential equations. Math. Slovaca 45 (1995), 129–137.
P. Hartman: Ordinary Differential Equations. Wiley, New York, 1964.
J. Ohriska: Oscillation of differential equations and v-derivatives. Czechoslovak Math. J. 39(114) (1989), 24–44.
J. Ohriska: On the oscillation of a linear differential equation of second order. Czechoslovak Math. J. 39(114) (1989), 16–23.
W. T. Reid: Sturmian Theory for Ordinary Differential Equations. Springer-Verlag, New York, 1980.
D. Willett: Classification of second order linear differential equations with respect to oscillation. Adv. Math. 3 (1969), 594–623.
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This work was supported by the grant VGA of Slovak Republic No. 1/7466/20.
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Kosice, J.O. Problems with one quarter. Czech Math J 55, 349–363 (2005). https://doi.org/10.1007/s10587-005-0026-9
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DOI: https://doi.org/10.1007/s10587-005-0026-9