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This is a Quantitative Study study.

Optimal Stabilization for Nonlinear Abstract Time-Delayed Viscoelastic Equations With Infinite Memory

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Research demonstrates energy decay in nonlinear viscoelastic equations with infinite memory, suggesting new decay estimates.

Energy decay solutions show significant improvement under nonlinear damping conditions with infinite memory.
Stability analysis incorporates various kernel functions to evaluate energy decay rates effectively.
The study introduces a Lyapunov function for establishing explicit decay estimates in energy solutions.
Applications to a semilinear wave system illustrate practical implications of the proposed stabilization methods.

Chellaoua et al. (2025) studied this question.

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