Oscillatory behaviour of a higher order nonlinear neutral delay type functional differential equation with oscillating coefficients

Yaşar Bolat; Ömer Akin

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 4, page 893-900
  • ISSN: 0011-4642

Abstract

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In this paper we are concerned with the oscillation of solutions of a certain more general higher order nonlinear neutral type functional differential equation with oscillating coefficients. We obtain two sufficient criteria for oscillatory behaviour of its solutions.

How to cite

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Bolat, Yaşar, and Akin, Ömer. "Oscillatory behaviour of a higher order nonlinear neutral delay type functional differential equation with oscillating coefficients." Czechoslovak Mathematical Journal 55.4 (2005): 893-900. <http://eudml.org/doc/30996>.

@article{Bolat2005,
abstract = {In this paper we are concerned with the oscillation of solutions of a certain more general higher order nonlinear neutral type functional differential equation with oscillating coefficients. We obtain two sufficient criteria for oscillatory behaviour of its solutions.},
author = {Bolat, Yaşar, Akin, Ömer},
journal = {Czechoslovak Mathematical Journal},
keywords = {differential equation; higher order nonlinear neutral differential equation; oscillation; oscillating coefficients; differential equation; higher-order nonlinear neutral differential equation; oscillation; oscillating coefficients},
language = {eng},
number = {4},
pages = {893-900},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillatory behaviour of a higher order nonlinear neutral delay type functional differential equation with oscillating coefficients},
url = {http://eudml.org/doc/30996},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Bolat, Yaşar
AU - Akin, Ömer
TI - Oscillatory behaviour of a higher order nonlinear neutral delay type functional differential equation with oscillating coefficients
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 4
SP - 893
EP - 900
AB - In this paper we are concerned with the oscillation of solutions of a certain more general higher order nonlinear neutral type functional differential equation with oscillating coefficients. We obtain two sufficient criteria for oscillatory behaviour of its solutions.
LA - eng
KW - differential equation; higher order nonlinear neutral differential equation; oscillation; oscillating coefficients; differential equation; higher-order nonlinear neutral differential equation; oscillation; oscillating coefficients
UR - http://eudml.org/doc/30996
ER -

References

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  1. Oscillation Theory for Difference and Functional Differential Equations, Kluwer Academic Publishers, Dordrecht, 2000. (2000) MR1774732
  2. Oscillation Theory of Operator-Differential Equations, World Scientific, Singapore-New Yersey, 1995. (1995) MR1370659
  3. Oscillation Theory of Differential Equations with Deviating Arguments, M. Dekker, New York, 1987. (1987) MR1017244
  4. Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, New York, 1991. (1991) MR1147908
  5. Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991. (1991) MR1168471
  6. 10.1023/A:1022405707349, Czechoslovak Math.  J. 50(125) (2000), 155–173. (2000) Zbl1045.34043MR1745469DOI10.1023/A:1022405707349
  7. Oscillatory behavior of higher order nonlinear neutral functional differential equation with oscillating coefficients, J.  South Chine Normal Unv. (1999), 6–11. (Chinese) (1999) MR1759521
  8. 10.1016/S0898-1221(99)00193-5, Comput. Math. Appl. 38 (1999), 185–199. (1999) MR1703416DOI10.1016/S0898-1221(99)00193-5
  9. Oscillation theorems for certain neutral differential equations, Czechoslovak Math.  J. 38 (1988), 745–783. (1988) MR0962917
  10. 10.1016/S0893-9659(96)00114-0, Appl. Math. Letters 10 (1997), 71–78. (1997) MR1429478DOI10.1016/S0893-9659(96)00114-0

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