Robustness of exponential attractors for infinite dimensional dynamical systems with small delay and application to 2D nonlocal diffusion delay lattice systems

Author:

YANG Lin1,WANG Yejuan2,KLOEDEN Peter E.3

Affiliation:

1. School of Mathematics and Statistics, Gansu Key Laboratory of Applied Mathematics and Complex Systems, Lanzhou University, Department of Mathematics, Changzhou University

2. School of Mathematics and Statistics, Gansu Key Laboratory of Applied Mathematics and Complex Systems, Lanzhou University

3. Mathematisches Institut, Universität Tübingen

Publisher

Mathematical Society of Japan (Project Euclid)

Subject

General Mathematics

Reference41 articles.

1. [1] M. Aouadi, Global and exponential attractors for extensible thermoelastic plate with time-varying delay, J. Differential Equations, 269 (2020), 4079–4115.

2. [2] A. Bonfoh, Existence and continuity of uniform exponential attractors for a singular perturbation of a generalized Cahn–Hilliard equation, Asymptot. Anal., 43 (2005), 233–247.

3. [3] T. Caraballo, J. A. Langa and J. C. Robinson, Attractors for differential equations with variable delays, J. Math. Anal. Appl., 260 (2001), 421–438.

4. [4] C. Cavaterra and M. Grasselli, Robust exponential attractors for population dynamics models with infinite time delay, Discrete Contin. Dyn. Syst. Ser. B, 6 (2006), 1051–1076.

5. [5] M. Conti, V. Pata and M. Squassina, Singular limit of dissipative hyperbolic equations with memory, Discrete Contin. Dyn. Syst., (2005), suppl., 200–208.

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