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Oscillation of one order neutral differential equation with impulses

Jinfa Cheng|Yuming Chu
대한수학회 (The Korean Mathematical Society)|2011.04|대한수학회논문집 (Communications of the KMS)|제26권 제2호|pp. 197-205

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참고문헌

키워드

impulsesoscillationcharacteristic system
주제분류수학

초록

Explicit sufficient conditions are established for the oscillation of the one order neutral differential equations with impulsive \[(x(t)+ (수식) + px(t - τ ) = 0, t≠ t_k ,Δ (x(t_k )+ (수식) + p_0 x(t_k - τ ) = 0,where c_i ≥0, i=1,2,...,n, pτ>0, p_0τ>0, Δ(x_k)=(수식)-x(t_k). Explicit sufficient and necessary condition are established when c_i=0, i=1,2,...,n.

Abstract

Explicit sufficient conditions are established for the oscillation of the one order neutral differential equations with impulsive \[(x(t)+ (수식) + px(t - τ ) = 0, t≠ t_k ,Δ (x(t_k )+ (수식) + p_0 x(t_k - τ ) = 0,where c_i ≥0, i=1,2,...,n, pτ>0, p_0τ>0, Δ(x_k)=(수식)-x(t_k). Explicit sufficient and necessary condition are established when c_i=0, i=1,2,...,n.

참고문헌 (8)

  1. R. P. Agarwal, "Nonoscillation and Oscillation: Theory for Functional Differential Equations" (2004), Marcel Dekker
  2. R. P. Agarwal, "Oscillation Theory for Difference and Functional Differential Equations" (2000), Kluwer Academic Publishers
  3. R. P. Agarwal, "Oscillation Theory for Second Order Dynamic Equations" (2003), Taylor & Francis
  4. D. Bainov, "Oscillation Theory for Neutral Differential Equations with Delay" (1991), Adam Hilger
  5. D. Bainov, "Oscillation Theory of Impulsive Differential Equations" (1998), International Publications
  6. L. H. Erbe, "Oscillation Theory for Functional-Differential Equations" (1995), Marcel Dekker
  7. K. Gopalsamy, "On delay differential equations with impulses", J. Math. Anal. Appl, 139(1), pp.110~122 (1989)
  8. I. Gy}ori, "Oscillation Theory of Delay Differential Equations" (1991), Oxford Uni- versity Press

관련 논문AI추천

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