Abstract
The aim of this paper is to derive sufficient conditions for the linear delay differential equation (r(t)y′(t))′ + p(t)y(τ(t)) = 0 to be oscillatory by using a generalization of the Lagrange mean-value theorem, the Riccati differential inequality and the Sturm comparison theorem.
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References
Barrett J.H., Oscillation theory of ordinary linear differential equations, Advances in Math., 1969, 3, 415–509
Džurina J., Oscillation of a second order delay differential equations, Arch. Math. (Brno), 1997, 33, 309–314
Erbe L., Oscillation criteria for second order nonlinear delay equations, Canad. Math. Bull., 1973, 16, 49–56
Hartman P., Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964
Ohriska J., Oscillation of second order delay and ordinary differential equation, Czechoslovak Math. J., 1984, 34, 107–112
Ohriska J., On the oscillation of a linear differential equation of second order, Czechoslovak Math. J., 1989, 39, 16–23
Ohriska J., Oscillation of differential equations and v-derivatives, Czechoslovak Math. J., 1989, 39, 24–44
Ohriska J., Problems with one quarter, Czechoslovak Math. J., 2005, 55, 349–363
Willett D., On the oscillatory behavior of the solutions of second order linear differential equations, Ann. Polon. Math., 1969, 21, 175–194
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Ohriska, J. Oscillation of second-order linear delay differential equations. centr.eur.j.math. 6, 439–452 (2008). https://doi.org/10.2478/s11533-008-0030-z
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DOI: https://doi.org/10.2478/s11533-008-0030-z