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June 20, 2026Journal of Dynamics and Differential EquationsOpen Access

Asymptotic Dynamics and Continuity of Exponential Attractors for a Generalized Nonautonomous Second-Order Equation

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Authors

VAVinicius T. AzevedoRFRodiak N. Figueroa-LópezMNMarcelo J. D. Nascimento

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Overview

Randomized trial analyzes asymptotic behavior in damped wave equations, indicating robustness in dynamics under parameter changes.

Key Points

  • This work investigates the asymptotic behavior and continuity of exponential attractors for a generalized damped wave equation.
  • Analysis of a generalized semilinear damped wave equation with time-dependent coefficients.
  • Establishment of pullback exponential and attractors with uniformly bounded finite fractal dimension.
  • Use of time-rescaling arguments to prove continuity results with respect to parameter perturbations.
  • Existence of pullback exponential attractors confirmed under given growth and regularity conditions.
  • Sections of pullback attractors shown to have uniformly bounded finite fractal dimension.
  • Upper semicontinuity of pullback attractors is demonstrated with respect to the parameter epsilon.

Cite This Study

Azevedo et al. (2026) studied this question.

synapsesocial.com/papers/6a362ee4db0793dc1a5366f5https://doi.org/10.1007/s10884-026-10524-z
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