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Oscillation and Nonoscillation of Nonlinear Neutral Delay Differential Equations with Several Positive and Negative Coefficients

Samir H. Saker|Elmetwally M. Elabbasy|Taher S. Hassan
경북대학교 자연과학대학 수학과|2007.03|Kyungpook Mathematical Journal|제47권 제1호|pp. 1-20

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Abstract

In this paper, oscillation and nonoscillation criteria are established for non-linear neutral delay dierential equations with several positive and negative coecients[x (t) R (t)x (t r)]0+mXi=1Pi (t)Hi (x (t i))nXj =1Qj (t)Hj (x (t j )) = 0:Our criteria improve and extend many results known in the literature. In addition we provethat under appropriate hypotheses, if every solution of the associated linear equation withconstant coecients,y0(t) +mXi=1(pi Xk2 Jiqk)y (t i) = 0 ;oscillates, then every solution of the nonlinear equation also oscillates.

참고문헌 (31)

  1. "Integral criteria for the oscillation of higher order differential equations", pp.470~482 (1980)
  2. "Oscillation in differential equations with positive and negativecoefficients", pp.442~450 (1990)
  3. "Oscillation of solution to delay differentialequations with positive and negative coefficients", 13, pp.1~13 (2000)
  4. "Oscillation of nonlinear delay differential equationswith several positive and negative coefficients", 39, pp.367~377 (1999)
  5. "Oscillation theory for functional differentialequations" (1995), Marcel Dekker, New York
  6. "Neutral delay differential equations with positiveand negative coefficients"
  7. "Oscillations and global attractivityin respiratory dynamics Dynamics and Satability of Systems Oscillation and Nonoscillation of Nonlinear Neutral Delay Differential Equations 19", kule(vic and g), pp.131~139 (1989)
  8. "Oscillation theory of delay differential equations", pp.~1991, Oxford Univ Press
  9. "Oscillatory properties of the first order nonlinear functional differentialequations", 2, pp.443~449 (1995), Atlanta; GA;
  10. "Oscillation of solutions of a class of first order nonlineardifferential equations with time lag", 15(4), pp.368~375 (1995)
  11. "On oscillation of nonlinear delaydifferential equations", kule(vic), pp.155~164 (1987)
  12. "Linearized oscillations in population dynamics", kule(vic and g), pp.615~627 (1987)
  13. "Linearized oscillation theory for second orderdelay differential equations", kule(vic and g), pp.261~267 (1987)
  14. "Oscillations of sunflower equations", kule(vic and g), pp.23~38 (1980)
  15. "Linearized oscillations for odd-order neutral delay differentialequations Journal of Differential Equations", pp.238~247 (1990)
  16. "Oscillation and global stability in a delay logistic equation Dynamics and Stability of systems", pp.153~162 (1991)
  17. "Oscillation of first order delay differential equations", 124, pp.3729~3737 (1996)
  18. "Oscillation and nonoscillation of neutral differential equationswith positive and negative coefficients", 54, pp.79~93 (2004)
  19. "Nonlinear oscillation of first order delay differential equations", 26(1), pp.361~373 (1996)
  20. "Oscillations of first order nonlinear delay differential equations", 12(1), pp.99~104 (1996)
  21. "Oscillatory solutions for equations with deviating arguments", pp.1~ (1990)
  22. "Oscillation for first order neutral differential equations with positive andnegative coefficients", 43, pp.147~152 (1996)
  23. "Oscillation and nonoscillation for a class of nonlinearneutral differential equations", pp.347~360 (1994)
  24. "Oscillation and existence of positive solution in a class ofhigher order neutral differential equations", 213, pp.662~680 (1997)
  25. "On the positive solutions of a kind of neutral differentialequations with positive and negative coefficients", 42, pp.795~802 (1999)
  26. "Oscillation of first order sublinear differential equations with deviatingarguments", pp.5~9 (1991)
  27. "Linearized comparison criteria for a nonlinearneutral differential equations", 64(2), pp.161~173 (1996)
  28. "Some further results on oscillation of neutral differentialequations", pp.149~157 (1992)
  29. "Oscillation in first order neutral differential equations with", pp.361~370 (1994)
  30. "New approach of studying the oscillation of neutral differential equations", 41, pp.79~89 (1998)
  31. "Oscillation and nonoscillation for neutral differential equations", pp.11~23 (1993)

관련 논문AI추천

Existence of Nonoscillatory Solution of Second Order Nonlinear Neutral Delay EquationsLin Shi-Zhong, Qu Ying, Yu Yuan-Hong경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호OSCILLATION AND NONOSCILLATION OF HIGHER-ORDER DIFFERENCE EQUATIONS WITH NONLINEAR NEUTRAL TERMSAijun Yang, Congna Di, Zhenguo Zhang한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제2호On the oscillation of certain functional differential equationsRavi P. Agarwal, S. Dontha, S. R. Grace대한수학회 · 대한수학회논문집2004 · 제19권 제2호Oscillation and nonoscillation theorems for nonlinear differential equations of second order김낙중, 김동일대한수학회 · 대한수학회지2007 · 제44권 제6호Oscillations of Difference Equations with Several TermsOzkan Ocalan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제4호Oscillation Criteria for Certain Nonlinear Differential Equations with DampingSiming Zhu, Zhaowen Zheng경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호

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