Oscillation and stability of nonlinear neutral impulsive delay differential equations

DOI10.1007/BF02935734zbMath1027.34092OpenAlexW2019041707MaRDI QIDQ5970570

Peng Tian, Shunian Zhang, Yongrui Duan

Publication date: 3 January 2004

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02935734

zbMATH Keywords

stabilityoscillationimpulseneutral delay differential equation

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Oscillation theory of functional-differential equations (34K11)

Related Items (11)

Gaussian quadrature formulas and Laguerre-Perron's equation ⋮ Boundedness results for impulsive functional differential equations with infinite delays ⋮ Oscillation and asymptotic stability behavior of a third order linear impulsive equation ⋮ Subsampling change-point detection in persistence with heavy-tailed innovations ⋮ Unnamed Item ⋮ An optimal method for approximating the delay differential equations of noninteger order ⋮ On oscillation of nonlinear second order differential equation with damping term ⋮ Existence of positive solutions of second-order nonlinear neutral differential equations with positive and negative terms ⋮ On the recursive sequence \(x_{n+1}=\alpha-(x_n/x_{n-1})\) ⋮ Nonlinear impulsive system of microbial production in fed-batch culture and its optimal control ⋮ On oscillatory and asymptotic behavior of higher order neutral differential equations with impulsive conditions

Cites Work

• Oscillation and existence of positive solutions for odd-order neutral equations with ``integrally small coefficients
• Oscillation of the solutions to impulsive differential equations and inequalities with a retarded argument
• Eventually positive solutions to odd order neutral differential equations
• Oscillation of odd order neutral differential equations
• Positive solutions of an odd-order neutral delay nonlinear differential equations
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