Invariant set and attractivity of nonlinear differential equations with delays

DOI10.1016/S0893-9659(01)00138-0zbMath1023.34066MaRDI QIDQ1861763

Hongyong Zhao, Dao Yi Xu

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

accretive operatorsemigroupdelay differential equationattraction basinattracting setalmost-periodic function

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Invariant manifolds of functional-differential equations (34K19)

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Cites Work

• Stability of functional differential equations
• Positively invariant sets for functional differential equations with infinite delay
• Integro-differential equations and delay integral inequalities
• Positively invariant closed sets for systems of delay-differential equations
• Stability in asymmetric Hopfield nets with transmission delays
• Domain of attraction of nonlinear discrete systems with delays
• Qualitative analysis of neural networks
• Existence and persistence of invariant manifolds for semiflows in Banach space
• Neurons with graded response have collective computational properties like those of two-state neurons.
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