Stability of an abstract system with infinite history

2018/05/21 by Abderrahmane Youkana, Youkana, Abderrahmane
Chemical Engineering · Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Rheology and Fluid Dynamics Studies #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1805.07964

openalex publication_date 2018/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work is concerned with stabilization of an abstract linear dissipative integrodiffrential equation with infinite memory modeling linear viscoelasticity where the relaxation function satisfies g'(t)≤ -ξ(t)g^p(t), ∀ t≥ 0, 1≤ p

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