Asymptotic behavior of solutions of a first-order impulsive neutral differential equation in Euler form

DOI10.1016/j.aml.2011.02.012zbMath1228.34118OpenAlexW2043481093WikidataQ115360879 ScholiaQ115360879MaRDI QIDQ533484

Kaizhong Guan, Shen, Jianhua

Publication date: 3 May 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.02.012

zbMATH Keywords

asymptotic behaviorneutral differential equationimpulse

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Neutral functional-differential equations (34K40)

Related Items (8)

Asymptotic behavior of impulsive neutral delay differential equations with positive and negative coefficients of Euler form ⋮ Asymptotic behavior of solutions of impulsive neutral differential equations with constant jumps ⋮ Asymptotic behavior of solutions of impulsive neutral nonlinear partial differential equations with distributed delay ⋮ Asymptotic behavior of solutions of mixed type impulsive neutral differential equations ⋮ Asymptotic behavior of solutions for a nonlinear differential equation with constant impulsive jumps ⋮ Impulsive continuous Runge-Kutta methods for impulsive delay differential equations ⋮ Asymptotic behavior of neutral delay differential equation of Euler form with constant impulsive jumps ⋮ Stability results for impulsive pantograph equations

Cites Work

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• Asymptotic behavior of solutions of nonlinear neutral differential equations with impulses
• Oscillation criteria for a first-order impulsive neutral differential equation of Euler form
• The 3/2 stability theorem for one-dimensional delay-differential equations with unbounded delay
• Oscillation and stability of linear impulsive delay differential equations
• Oscillation of the solutions to impulsive differential equations and inequalities with a retarded argument
• Oscillation of impulsive neutral delay differential equations
• Oscillation criteria for first-order neutral differential equations
• Asymptotic behavior of solutions of impulsive neutral differential equations
• On first-order neutral differential equations of Euler form with unbounded delays
• Stability and boundedness for impulsive functional differential equations with infinite delays

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