# Oscillation of delay differential equations

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (1997)

- Volume: 17, Issue: 1-2, page 97-105
- ISSN: 1509-9407

## Access Full Article

top## Abstract

top## How to cite

topJ. Džurina. "Oscillation of delay differential equations." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 17.1-2 (1997): 97-105. <http://eudml.org/doc/275949>.

@article{J1997,

abstract = {
Our aim in this paper is to present the relationship between property (B) of the third order equation with delay argument
y'''(t) - q(t)y(τ(t)) = 0
and the oscillation of the second order delay equation of the form
y''(t) + p(t)y(τ(t)) = 0.
},

author = {J. Džurina},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {property (B); oscillation; third-order equation; delay argument; second-order delay equation},

language = {eng},

number = {1-2},

pages = {97-105},

title = {Oscillation of delay differential equations},

url = {http://eudml.org/doc/275949},

volume = {17},

year = {1997},

}

TY - JOUR

AU - J. Džurina

TI - Oscillation of delay differential equations

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 1997

VL - 17

IS - 1-2

SP - 97

EP - 105

AB -
Our aim in this paper is to present the relationship between property (B) of the third order equation with delay argument
y'''(t) - q(t)y(τ(t)) = 0
and the oscillation of the second order delay equation of the form
y''(t) + p(t)y(τ(t)) = 0.

LA - eng

KW - property (B); oscillation; third-order equation; delay argument; second-order delay equation

UR - http://eudml.org/doc/275949

ER -

## References

top- [1] J. Chao, On the oscillation of linear differential equations with deviating arguments, Math. in Practice and Theory 1 (1991), 32-40.
- [2] J. Džurina, Asymptotic properties of third order delay differential equations, Czech. Math. J. 45 (1995), 443-448. Zbl0842.34073
- [3] J. Džurina, Asymptotic properties of n-th order differential equations with delayed argument Math. Nachr. 171 (1995), 149-156. Zbl0817.34039
- [4] J. Džurina, Comparison theorems for nonlinear ODE', Math. Slovaca. 42 (1992), 299-315. Zbl0760.34030
- [5] L.H. Erbe, Q. Kong and B.G. Zhang, Oscillation Theory for Functional Differential Equations, Dekker New York 1995. Zbl0821.34067
- [6] L.H. Erbe and B.G. Zhang, Oscillation of first order linear differential equations with deviating arguments, Differential Integral Equations. 1 (1988), 305-314. Zbl0723.34055
- [7] S.R. Grace and B.S. Lalli, Comparison and oscillation theorems for functional differential equations with deviating arguments, Math. Nachr. 144 (1989), 65-79. Zbl0714.34106
- [8] J. Jaros and I.P. Stavroulakis, Oscillation tests for delay equations, Rocky Mountain J. Math., (to appear).
- [9] I.T. Kiguradze, On the oscillation of solutions of the equation ${d}^{m}u/d{t}^{m}+a\left(t\right){\left|u\right|}^{n}signu=0$, Mat. Sb Russian 65 (1964), 172-187. Russian
- [10] T. Kusano and M. Naito, Comparison theorems for functional differential equations with deviating arguments, J. Math. Soc. Japan. 3 (1981), 509-532. Zbl0494.34049
- [11] T. Kusano, M. Naito and K. Tanaka, Oscillatory and asymptotic behavior of solutions of a class of linear ordinary differential equations, Proc. Roy. Soc. Edinburgh 90 (1981), 25-40. Zbl0486.34021
- [12] M.K. Kwong, Oscillation of first order delay equations, J. Math. Anal. Appl. 156 (1991), 274-286. Zbl0727.34064
- [13] G. Ladas, Sharp conditions for oscillation caused by delay, Applicable Anal. 9 (1979), 93-982
- [14] G. Ladas, V. Lakshmikantham and L.S. Papadakis, Oscillations of Higher-Order Retarded Differential Equations Generated by the Retarded Arguments, Academic Press New York 1972. Zbl0273.34052
- [15] G. S. Ladde, V. Lakshmikantham, B. G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Dekker New York 1987. Zbl0832.34071
- [16] W.E. Mahfoud, Comparison theorems for delay differential equations, Pacific J. Math. 83 (1979), 187-197. Zbl0441.34053
- [17] W.E. Mahfoud, Oscillation and asymptotic behavior of solutions of n-th order delay differential equations, J. Diff. Eq. 24 (1977), 75-98. Zbl0341.34065

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.