Invariant set and attractor of nonautonomous functional differential systems.

DOI10.1016/S0022-247X(02)00370-0zbMath1048.34124OpenAlexW2015564833MaRDI QIDQ1399842

Hongyong Zhao

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00370-0

Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Invariant manifolds of functional-differential equations (34K19)

Related Items (13)

Attracting and invariant sets of nonlinear neutral differential equations with delays ⋮ \(p\)-attracting and \(p\)-invariant sets for a class of impulsive stochastic functional differential equations ⋮ Attracting and invariant sets of nonlinear stochastic neutral differential equations with delays ⋮ Global attracting set for a class of nonautonomous neutral functional differential equations ⋮ Practical synchronization of second-order nonautonomous systems with parameter mismatch and its applications ⋮ A new delay vector integral inequality and its application ⋮ Global attracting sets for neutral-type BAM neural networks with time-varying and infinite distributed delays ⋮ Attracting and invariant sets of impulsive delay Cohen-Grossberg neural networks ⋮ Stability analysis for multistep computational schemes ⋮ The domain of attraction and the stability region for stochastic partial differential equations with delays ⋮ Attracting and invariant sets for a class of impulsive functional differential equations ⋮ A new singular impulsive delay differential inequality and its application ⋮ A new nonlinear integro-differential inequality and its application

Cites Work

• Integro-differential equations and delay integral inequalities
• Dimension of the global attractor for strongly damped nonlinear wave equation
• Introduction to functional differential equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Uniform asymptotic stability of abstract functional differential equations
• Dimension of the global attractor for discretizations of the damped sine-Gordon equation
• Theory and applications of partial functional differential equations
• Invariant set and attractivity of nonlinear differential equations with delays
• Neural networks and physical systems with emergent collective computational abilities.
• Attractors for differential equations with variable delays
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