Periodic solutions for a class of nonautonomous differential system with impulses and time-varying delays

DOI10.1007/s10440-010-9598-yzbMath1247.34121OpenAlexW2061833501MaRDI QIDQ634670

Ying Li, Yuanfu Shao, Chang-Jin Xu

Publication date: 16 August 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-010-9598-y

zbMATH Keywords

delayexponential stabilityperiodic solutionimpulseMawhin continuation theorem

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13)

Related Items (4)

Stability analysis for a general class of non-instantaneous impulsive differential equations ⋮ Asymptotic properties of the solutions of nonlinear non-instantaneous impulsive differential equations ⋮ Exponential stability of periodic neural networks with impulsive effects and time-varying delays ⋮ Dynamic analysis of an impulsive differential equation with time-varying delays.

Cites Work

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• On global asymptotic stability of a class of nonlinear systems arising in neural network theory
• Global exponential stability of BAM neural networks with delays and impulses
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• Periodic solutions of nonautonomous cellular neural networks with impulses
• Stability and periodicity in high-order neural networks with impulsive effects
• Cellular neural networks: theory
• New conditions for global stability of neural networks with application to linear and quadratic programming problems

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