Stability results for impulsive functional differential equations with infinite delay

DOI10.1016/j.na.2012.07.030zbMath1266.34132OpenAlexW1975251134MaRDI QIDQ714485

Teresa Faria, José J. Oliveira, Marta C. Gadotti

Publication date: 11 October 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1822/20401

zbMATH Keywords

impulsesinfinite delayglobal asymptotic stabilityCohen-Grossberg neural network

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20)

Related Items (14)

Monotone Iterative Technique for $S$-Asymptotically Periodic Problem of Evolution Equation with Delay ⋮ Globally exponential stabilization of neural networks with mixed time delays via impulsive control ⋮ On stability for impulsive delay differential equations and application to a periodic Lasota-Wazewska model ⋮ On the stability of impulsive functional differential equations with infinite delays ⋮ Globally exponential stability of delayed impulsive functional differential systems with impulse time windows ⋮ Global asymptotic stability for a periodic delay hematopoiesis model with impulses ⋮ General stability for a Cohen-Grossberg neural network system ⋮ Comparison principle for impulsive functional differential equations with infinite delays and applications ⋮ Existence and global asymptotic behavior of \(S\)-asymptotically \(\omega\)-periodic solutions for evolution equation with delay ⋮ Stabilization of nonlinear time-delay systems: distributed-delay dependent impulsive control ⋮ Hybrid stabilization and synchronization of nonlinear systems with unbounded delays ⋮ A class of impulsive stochastic parabolic functional differential equations and their asymptotics ⋮ Sample controllability of impulsive differential systems with random coefficients ⋮ Exponential stability of impulsive discrete-time systems with infinite delays

Cites Work

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• General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays
• Global exponential stability of impulsive Cohen-Grossberg neural networks with delays
• Global stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delays
• Existence and continuability of solutions for differential equations with delays and state-dependent impulses
• Boundedness and global exponential stability for delayed differential equations with applications
• Local and global existence and uniqueness results for impulsive functional differential equations with multiple delay
• Existence of solutions for impulsive partial neutral functional differential equations
• Impulsive stability for systems of second order retarded differential equations
• Existence and uniqueness results for impulsive functional differential equations with scalar multiple delay and infinite delay
• Global asymptotic stability of delay BAM neural networks with impulses
• Existence of solutions for impulsive partial neutral functional differential equation with infinite delay
• Stability analysis for impulsive Cohen-Grossberg neural networks with time-varying delays and distributed delays
• Functional differential equations with infinite delay
• Introduction to functional differential equations
• Stability of artificial neural networks with impulses
• Stability for impulsive functional differential equations with infinite delays
• Stability in impulsive Cohen-Grossberg-type BAM neural networks with distributed delays
• Existence and globally exponential stability of equilibrium for BAM neural networks with impulses
• Global asymptotic stability analysis of bidirectional associative memory neural networks with distributed delays and impulse
• Impulsive effects on global asymptotic stability of delay BAM neural networks
• A new criterion to global exponential stability for impulsive neural networks with continuously distributed delays
• New exponential stability criteria for stochastic BAM neural networks with impulses
• Existence, uniqueness and boundedness results for impulsive delay differential equations
• Neural networks and physical systems with emergent collective computational abilities.
• 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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