Oscillation and nonoscillation of neutral differential equations with positive and negative coefficients

Zhiguo Luo; Jian Hua Shen

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 1, page 79-93
  • ISSN: 0011-4642

Abstract

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In this paper, oscillattion and nonoscillation criteria are established for neutral differential equations with positive and negative coefficients. Our criteria improve and extend many results known in the literature.

How to cite

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Luo, Zhiguo, and Shen, Jian Hua. "Oscillation and nonoscillation of neutral differential equations with positive and negative coefficients." Czechoslovak Mathematical Journal 54.1 (2004): 79-93. <http://eudml.org/doc/30839>.

@article{Luo2004,
abstract = {In this paper, oscillattion and nonoscillation criteria are established for neutral differential equations with positive and negative coefficients. Our criteria improve and extend many results known in the literature.},
author = {Luo, Zhiguo, Shen, Jian Hua},
journal = {Czechoslovak Mathematical Journal},
keywords = {oscillation; neutral differential equations; positive and negative coefficients; oscillation; neutral differential equations; positive and negative coefficients},
language = {eng},
number = {1},
pages = {79-93},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillation and nonoscillation of neutral differential equations with positive and negative coefficients},
url = {http://eudml.org/doc/30839},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Luo, Zhiguo
AU - Shen, Jian Hua
TI - Oscillation and nonoscillation of neutral differential equations with positive and negative coefficients
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 1
SP - 79
EP - 93
AB - In this paper, oscillattion and nonoscillation criteria are established for neutral differential equations with positive and negative coefficients. Our criteria improve and extend many results known in the literature.
LA - eng
KW - oscillation; neutral differential equations; positive and negative coefficients; oscillation; neutral differential equations; positive and negative coefficients
UR - http://eudml.org/doc/30839
ER -

References

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  1. Integral criteria for the oscillation of higher order differential equations, Differencialnye Uravnenija 16 (1980), 470–482. (1980) 
  2. 10.4153/CMB-1990-072-x, Canad. Math. Bull. 33 (1990), 442–450. (1990) MR1091349DOI10.4153/CMB-1990-072-x
  3. Oscillation of solutions to delay differential equations with positive and negative coefficients, Electron. J. Differential Equations 13 (2000), 1–13. (2000) MR1745042
  4. Oscillation Theory for Functional Differential Equations, Marcel Dekker, New York, 1995. (1995) MR1309905
  5. 10.1080/00036818808839732, Appl. Anal. 27 (1988), 181–197. (1988) MR0922777DOI10.1080/00036818808839732
  6. Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991. (1991) MR1168471
  7. 10.1090/S0002-9947-1948-0027925-7, Trans. Amer. Math. Soc. 64 (1948), 234–252. (1948) Zbl0031.35402MR0027925DOI10.1090/S0002-9947-1948-0027925-7
  8. 10.1090/S0002-9939-96-03674-X, Proc. Amer. Math. Soc. 124 (1996), 3729–3737. (1996) Zbl0865.34057MR1363175DOI10.1090/S0002-9939-96-03674-X
  9. 10.1017/S0004972700028872, Bull. Austral. Math. Soc. 43 (1991), 147–152. (1991) MR1086728DOI10.1017/S0004972700028872
  10. Oscillation and nonoscillation for a class of nonlinear neutral differential equations, Differential Equations Dynam. Systems 4 (1994), 347–360. (1994) MR1386279
  11. 10.1006/jmaa.1997.5567, J.  Math. Anal. Appl. 213 (1997), 662–680. (1997) MR1470876DOI10.1006/jmaa.1997.5567
  12. On the positive solutions of a kind of neutral differential equations with positive and negative coefficients, Acta Math. Sinica 42 (1999), 795–802. (1999) MR1766655
  13. 10.1017/S0004972700011758, Bull. Austral. Math. Soc. 46 (1992), 149–157. (1992) MR1170449DOI10.1017/S0004972700011758
  14. 10.1006/jmaa.1994.1362, J.  Math. Anal. Appl. 187 (1994), 361–370. (1994) MR1297030DOI10.1006/jmaa.1994.1362
  15. New approach of studying the oscillation of neutral differential equations, Funkcial. Ekvac. 41 (1998), 79–89. (1998) MR1627357
  16. 10.1006/jmaa.1993.1002, J.  Math. Anal. Appl. 172 (1993), 11–23. (1993) MR1199490DOI10.1006/jmaa.1993.1002

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