Oscillation criteria for second order neutral differential equations

Jozef Džurina; Božena Mihalíková

Mathematica Bohemica (2000)

  • Volume: 125, Issue: 2, page 145-153
  • ISSN: 0862-7959

Abstract

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Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation (x(t)-px(t-))"+q(t)x((t))=0.

How to cite

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Džurina, Jozef, and Mihalíková, Božena. "Oscillation criteria for second order neutral differential equations." Mathematica Bohemica 125.2 (2000): 145-153. <http://eudml.org/doc/248681>.

@article{Džurina2000,
abstract = {Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation (x(t)-px(t-))"+q(t)x((t))=0.},
author = {Džurina, Jozef, Mihalíková, Božena},
journal = {Mathematica Bohemica},
keywords = {neutral equation; delayed argument; neutral equation; delayed argument},
language = {eng},
number = {2},
pages = {145-153},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillation criteria for second order neutral differential equations},
url = {http://eudml.org/doc/248681},
volume = {125},
year = {2000},
}

TY - JOUR
AU - Džurina, Jozef
AU - Mihalíková, Božena
TI - Oscillation criteria for second order neutral differential equations
JO - Mathematica Bohemica
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 125
IS - 2
SP - 145
EP - 153
AB - Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation (x(t)-px(t-))"+q(t)x((t))=0.
LA - eng
KW - neutral equation; delayed argument; neutral equation; delayed argument
UR - http://eudml.org/doc/248681
ER -

References

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  2. D. D. Bainov D. P. Mishev, Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, Bristol, 1991. (1991) MR1147908
  3. L. H. Erbe Q. Kong B. G. Zhang, Oscillation Theory for Functional Differential Equations, Dekker, New York, 1995. (1995) MR1309905
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  8. J. Ruan, Types and criteria of nonoscillatory solutions for second order linear neutral differential equations, Chinese Ann. Math. Ser. A 8 (1987), 114-124. (1987) MR0901645
  9. A. I. Zahariev D.D. Bainov, On some oscillation criteria for a class of neutral type functional differential equations, J. Austral. Math. Soc. Ser. B 28 (1986), 228-239. (1986) MR0862572
  10. B. G. Zhang J. S. Yu, 10.1006/jmaa.1993.1002, J. Math. Anał. Appl. 172 (1993), 11-23. (1993) Zbl0776.34059MR1199490DOI10.1006/jmaa.1993.1002
  11. B. G. Zhang, 10.1006/jmaa.1993.1052, J. Math. Anal. Appl. 172 (1993), 58-68. (1993) Zbl0780.39006MR1205909DOI10.1006/jmaa.1993.1052

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