NEW RAZUMIKHIN TYPE STABILITY THEOREM FOR IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS

DOI10.1142/S0219530511001881zbMath1242.34131OpenAlexW1981509352MaRDI QIDQ3173108

Jiayu Wang, Xiaodi Li

Publication date: 10 October 2011

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

Full work available at URL: https://doi.org/10.1142/s0219530511001881

zbMATH Keywords

global stabilityLyapunov functionsuniform asymptotic stabilityRazumikhin techniqueinfinite delaysimpulsive functional differential equations

Mathematics Subject Classification ID

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

Related Items (3)

On The Practical Stabilization of Dynamical Systems With Application ⋮ Practical exponential stability of stochastic delayed systems with G-Brownian motion via vector G-Lyapunov function ⋮ A class of impulsive stochastic parabolic functional differential equations and their asymptotics

Cites Work

• New Razumikhin-type theorems on the stability for impulsive functional differential systems
• Impulsive stability for systems of second order retarded differential equations
• Uniform asymptotic stability and global stability of impulsive infinite delay differential equations
• Boundedness for impulsive delay differential equations and applications to population growth models.
• Impulsive stabilization of functional differential equations with infinite delays
• New Razumikhin type theorems for impulsive functional differential equations
• Stability of impulsive infinite delay differential equations
• Eventual stability of impulsive differential systems
• Impulsive stabilization of delay differential systems via the Lyapunov-Razumikhin method
• Exponential stability for impulsive delay differential equations by Razumikhin method
• Existence, uniqueness and boundedness results for impulsive delay differential equations
• Razumikhin-type theorems on exponential stability of impulsive delay systems
• Stability results for impulsive functional differential equations with infinite delays
• Stability and boundedness for impulsive functional differential equations with infinite delays

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