# Oscillation of second-order linear delay differential equations

Open Mathematics (2008)

- Volume: 6, Issue: 3, page 439-452
- ISSN: 2391-5455

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topJán Ohriska. "Oscillation of second-order linear delay differential equations." Open Mathematics 6.3 (2008): 439-452. <http://eudml.org/doc/269394>.

@article{JánOhriska2008,

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.},

author = {Ján Ohriska},

journal = {Open Mathematics},

keywords = {oscillation theory; linear functional-differential equations; generalized derivatives},

language = {eng},

number = {3},

pages = {439-452},

title = {Oscillation of second-order linear delay differential equations},

url = {http://eudml.org/doc/269394},

volume = {6},

year = {2008},

}

TY - JOUR

AU - Ján Ohriska

TI - Oscillation of second-order linear delay differential equations

JO - Open Mathematics

PY - 2008

VL - 6

IS - 3

SP - 439

EP - 452

AB - 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.

LA - eng

KW - oscillation theory; linear functional-differential equations; generalized derivatives

UR - http://eudml.org/doc/269394

ER -

## References

top- [1] Barrett J.H., Oscillation theory of ordinary linear differential equations, Advances in Math., 1969, 3, 415–509 http://dx.doi.org/10.1016/0001-8708(69)90008-5
- [2] Džurina J., Oscillation of a second order delay differential equations, Arch. Math. (Brno), 1997, 33, 309–314 Zbl0915.34062
- [3] Erbe L., Oscillation criteria for second order nonlinear delay equations, Canad. Math. Bull., 1973, 16, 49–56 Zbl0272.34095
- [4] Hartman P., Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964 Zbl0125.32102
- [5] Ohriska J., Oscillation of second order delay and ordinary differential equation, Czechoslovak Math. J., 1984, 34, 107–112 Zbl0543.34054
- [6] Ohriska J., On the oscillation of a linear differential equation of second order, Czechoslovak Math. J., 1989, 39, 16–23 Zbl0673.34043
- [7] Ohriska J., Oscillation of differential equations and v-derivatives, Czechoslovak Math. J., 1989, 39, 24–44 Zbl0673.34044
- [8] Ohriska J., Problems with one quarter, Czechoslovak Math. J., 2005, 55, 349–363 http://dx.doi.org/10.1007/s10587-005-0026-9 Zbl1081.34033
- [9] Willett D., On the oscillatory behavior of the solutions of second order linear differential equations, Ann. Polon. Math., 1969, 21, 175–194 Zbl0174.13701

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