Author(s)

Na Ma^*, Qiaozhen Ma^#

College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China.

This paper first uses the Banach fixed point theorem and operator semigroup theory to prove the existence and uniqueness of mild solutions for non-classical reaction diffusion equations with state delays and their continuous dependence on the initial values. Secondly, by combining quasi-stability, the asymptotic smoothness of the relevant semigroup is obtained. Finally, the existence of a global attractor with a finite fractal dimension is obtained.

Non-Classical Diffusion Equation, State Delay, Global Attractor

Ma, N. and Ma, Q. (2025) Global Attractors for Nonclassical Diffusion Equations with State Delay. Journal of Applied Mathematics and Physics, 13, 3695-3709. doi: 10.4236/jamp.2025.1311206.