Stability results for impulsive pantograph equations

DOI10.1016/j.aml.2013.07.001zbMath1315.34078OpenAlexW2069512461MaRDI QIDQ2339353

Kaizhong Guan, Zhi-wei Luo

Publication date: 31 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.aml.2013.07.001

zbMATH Keywords

stabilityLyapunov functionRazumikhin techniqueimpulsepantograph equation

Mathematics Subject Classification ID

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

Related Items (5)

Existence and uniqueness results of impulsive fractional neutral pantograph integro differential equations with delay ⋮ Unnamed Item ⋮ Impulsive continuous Runge-Kutta methods for impulsive delay differential equations ⋮ Global power stability of neural networks with impulses and proportional delays ⋮ The existence of periodic solutions for coupled pantograph Rayleigh system

Cites Work

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• Asymptotic behavior of solutions of a first-order impulsive neutral differential equation in Euler form
• The variational iteration method for solving a neutral functional-differential equation with proportional delays
• Some observations on the asymptotic behaviour of the solutions of the equation \(\dot x=A(t)x(\lambda t)+B(t)x(t)\) \(\lambda >0\)
• Asymptotical stability of numerical methods with constant stepsize for pantograph equations
• On the generalized pantograph functional-differential equation
• On a Functional Differential Equation
• Uniform asymptotic stability of impulsive delay differential equations
• Stability and boundedness for impulsive functional differential equations with infinite delays

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