Work

Dynamical behavior of nonclassical diffusion equations with the driving delay in time-dependent spaces

Year: 2024

Type: article

Abstract: In this paper, we mainly investigate the asymptotic behavior of solutions for the nonclassical diffusion problem with hereditary effects and time-dependent perturbed parameter. The main novelty is that the delay term may be driven by a function under very minimal assumptions, namely, measurability and the fact that the phase space is a time-dependent space of functions that are continuous in time. The existence and regularity of time-dependent global attractors are proved by using a new analytical technique. It is remarkable that the nonlinearity $ f $ has no restriction on the upper growth.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2024177

Authors: Shixuan Zhang, Qingsong Li, Jiangwei Zhang

Institutions: Central South University of Forestry and Technology, National University of Defense Technology

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405205214

FWCI: 0.639

Cites: 38

Cited by: 4

Related to: 10