Article citationsMore>>

Hu, Z. and Wang, Y. (2012) Pullback Attractors for a Nonautonomous Nonclassical Diffusion Equation with Variable Delay. Journal of Mathematical Physics, 53, 1-17.
https://doi.org/10.1063/1.4736847

has been cited by the following article:

• TITLE: Global Attractors for Nonclassical Diffusion Equations with State Delay

  AUTHORS: Na Ma, Qiaozhen Ma

  KEYWORDS: Non-Classical Diffusion Equation, State Delay, Global Attractor

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.11, November 3, 2025

  ABSTRACT: 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.