Strict stability of impulsive functional differential equations

DOI10.1016/j.jmaa.2004.07.018zbMath1068.34073OpenAlexW2047728287MaRDI QIDQ705311

Jitao Sun, Yu Zhang

Publication date: 26 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.018

zbMATH Keywords

Lyapunov functionalRazumikhin techniquestrict stabilityimpulsive functional-differential equation

Mathematics Subject Classification ID

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

Related Items (14)

Strict stability in terms of two measures for impulsive differential equations with ‘supremum’ ⋮ Stability criteria in terms of two measures for functional differential equation with variable‐time impulses ⋮ Stability in terms of two measures for perturbed impulsive delay integro-differential equations ⋮ New comparison results for impulsive integro-differential equations and applications ⋮ Impulsive stability for systems of second order retarded differential equations ⋮ Stability criteria of delay impulsive systems on time scales ⋮ Stability analysis of generalized impulsive functional differential equations ⋮ Stability of impulsive linear hybrid systems with time delay ⋮ Stability of impulsive neural networks with time delays ⋮ Strict stability criteria for impulsive functional differential systems ⋮ Global exponential stability of impulsive functional differential equations via Razumikhin technique ⋮ New results on global exponential stability of impulsive functional differential systems with delayed impulses ⋮ Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A new technique in stability of infinite delay differential equations.
• Boundedness of the solutions of impulsive differential systems with time-varying delay
• Stability criteria of impulsive differential systems
• Impulsive stabilization of functional differential equations via Lyapunov functionals
• Razumikhin techniques in impulsive functional differential equations
• Less conservative conditions for asymptotic stability of impulsive control systems
• Stability of impulsive differential systems
• Oscillation of solutions of impulsive delay differential equations
• Strict practical stability of delay differential equation.
• Strict stability of differential equations
• Oscillation of nonlinear delay impulsive differential equations and inequalities

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