W-stability theorems of nonlinear impulsive functional differential systems

DOI10.1016/j.cam.2007.10.020zbMath1162.34058OpenAlexW2094494019MaRDI QIDQ950069

Xilin Fu, Xiaodi Li

Publication date: 22 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.10.020

zbMATH Keywords

Lyapunov functionRazumikhin techniqueimpulsive functional differential systemsW-stable

Mathematics Subject Classification ID

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

Related Items (9)

μ-stability of infinite delay functional differential systems with impulsive effects ⋮ Impulsive exponential stabilization of functional differential systems with infinite delay ⋮ Exponential stability of Hopfield neural networks with time-varying delays via impulsive control ⋮ New results on global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays ⋮ A new criterion to global exponential stability for impulsive neural networks with continuously distributed delays ⋮ Uniform asymptotic stability and global stability of impulsive infinite delay differential equations ⋮ On the global exponential stability of impulsive functional differential equations with infinite delays or finite delays ⋮ Stability properties for Hopfield neural networks with delays and impulsive perturbations ⋮ Impulsive stabilization for a class of neural networks with both time-varying and distributed delays

Cites Work

• Local and global existence and uniqueness results for impulsive functional differential equations with multiple delay
• Uniform boundedness and stability criteria in terms of two measures for impulsive integro-differential equations
• Introduction to functional differential equations
• Boundedness for impulsive delay differential equations and applications to population growth models.
• A new approach to stability of impulsive functional differential equations
• Razumikhin techniques in impulsive functional differential equations
• Razumikhin type stability theorems for impulsive functional differential equations
• Existence, uniqueness and boundedness results for impulsive delay differential equations
• Lyapunov-Razumikhin method for impulsive functional differential equations and applications to the population dynamics
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