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Zhu, K.X. and Sun, C.Y. (2015) Pullback Attractors for Nonclassical Diffusion Equations with Delays. Journal of Mathematical Physics, 56, Article 092703.
https://doi.org/10.1063/1.4931480

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.