Pullback exponential attractors for differential equations with variable delays

DOI10.3934/dcdsb.2019183zbMath1436.37035OpenAlexW2963785209WikidataQ127401101 ScholiaQ127401101MaRDI QIDQ2278516

Stefanie Sonner, Sana Netchaoui, Lassaad Mchiri, Mohamed Ali Hammami

Publication date: 5 December 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2019183

zbMATH Keywords

fractal dimensionvariable delaysnonautonomous delay differential equationspullback exponential attractors

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Asymptotic theory of functional-differential equations (34K25) Nonautonomous smooth dynamical systems (37C60)

Related Items

Exponential attractors for two-dimensional nonlocal diffusion lattice systems with delay, Robustness of exponential attractors for infinite dimensional dynamical systems with small delay and application to 2D nonlocal diffusion delay lattice systems, Pullback exponential attractors for non-autonomous recurrent neural networks with discrete and distributed time-varying delays, Pullback exponential attractors with explicit fractal dimensions for non-autonomous partial functional differential equations, Pullback exponential attractors for differential equations with delay

Cites Work

• Unnamed Item
• Unnamed Item
• Attractors for infinite-dimensional non-autonomous dynamical systems
• Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems
• Autonomous and non-autonomous attractors for differential equations with delays
• On the dynamics of equations with infinite delay
• Pullback exponential attractors for evolution processes in Banach spaces: theoretical results
• Pullback exponential attractors
• Pullback exponential attractors for evolution processes in Banach spaces: properties and applications
• Estimates on the dimension of an exponential attractor for a delay differential equation
• Exponential attractors for a nonlinear reaction-diffusion system in
• An Introduction to Delay Differential Equations with Applications to the Life Sciences
• Attractors for differential equations with variable delays