## Pacific Journal of Mathematics

- Pacific J. Math.
- Volume 83, Number 1 (1979), 187-197.

### Comparison theorems for delay differential equations.

**Full-text: Open access**

#### Article information

**Source**

Pacific J. Math., Volume 83, Number 1 (1979), 187-197.

**Dates**

First available in Project Euclid: 8 December 2004

**Permanent link to this document**

https://projecteuclid.org/euclid.pjm/1102784669

**Mathematical Reviews number (MathSciNet)**

MR555047

**Zentralblatt MATH identifier**

0441.34053

**Subjects**

Primary: 34K15

#### Citation

Mahfoud, W. E. Comparison theorems for delay differential equations. Pacific J. Math. 83 (1979), no. 1, 187--197. https://projecteuclid.org/euclid.pjm/1102784669

#### References

- [1] G. V. Anan'eva and V. I. Balaganskii, Oscillation of the solutions of certain differ- ential equations of higher order, Uspehi Mat. Nauk 14, No. 1 (1959), 135-140.
- [2] J. J. A. M. Brands, Oscillation theorems forsecond-order functionaldifferential equations, J. Math. Anal. AppL, 63 (1978), 54-64.
- [3] T. A. Burton and John R. Haddock, On the delay-differentialequations xf{t) + a(t)f(x{t - r(t))) = 0 and "(*) + a(t)f(x(t - r(t))) = 0, J. Math. Anal. AppL, 54 (1976), 37-48.
- [4] I. V. Kamenev, On the oscillation of solutions of a nonlinearequation of higher order, Differencial'nye Uravnenya, 7 (1971), 927-929.Mathematical Reviews (MathSciNet): MR44:7045
- [5] A. G. Kartsatos and H. Onose, A comparison theorem for functionaldifferential equations, Bull. Aust. Math. Soc, 14 (1976), 343-347.
- [6] I. T. Kiguradze, Oscillation properties of solutions of certain ordinarydifferential equations, Dokl. Akad. Nauk SSSR, 144 (1962), 33-36 or Soviet Math. Dokl,. 3 (1962), 649-652.Zentralblatt MATH: 0144.11201
- [7] T. Kusano and H. Onose, Oscillations of functionaldifferentialequationswith retarded argument, J. Differential Equations, 15 (1974), 269-277.
- [8] David Lowell Lovelady, On asymptotic analysis of an odd order lineardifferential equation, Pacific J. Math., 57 (1975), 475-480. 9# fOscillation and a class of linear delay differential equations, Trans. Amer. Math. Soc, 226 (1977), 345-364.
- [10] W. E. Mahfoud, Oscillation and asymptotic behavior of solutions of nth order nonlineardelay differential equations, J. Differential Equations, 24 (1977), 75-98.
- [11] H. Onose, A comparison theorem and the forced oscillation, Bull. Aust. Math. Soc, 13 (1975), 13-19.
- [12] James S. W. Wong, Second order oscillation with retarded arguments,Ordinary Differential Equations, Academic Press, New York/London, 1972, 581-596.

#### Pacific Journal of Mathematics, A Non-profit Corporation

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