Dynamical properties of a second-order in time partial integrodifferential equation: Existence and regularity of pullback attractors

In this paper, we consider a second-order in time partial integro-differential equation under suitable integrability conditions. We show existence of pullback attractors in functions spaces similar to fractional Sobolev spaces with an evolution process approach.

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Publication Details

Journal
Journal of Hyperbolic Differential Equations
Published
2025-03-01
DOI
https://doi.org/10.1142/s0219891625500055
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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article

Dynamical properties of a second-order in time partial integrodifferential equation: Existence and regularity of pullback attractors

Juliana Fernandes, Flank D. M. Bezerra, Sarita Mazzini Bruschi, Dennys J. C. Silva
Journal of Hyperbolic Differential Equations
Stability and Controllability of Differential Equations
article

Dynamical properties of a second-order in time partial integrodifferential equation: Existence and regularity of pullback attractors

Juliana Fernandes, Flank D. M. Bezerra, Sarita Mazzini Bruschi, Dennys J. C. Silva
article en

Abstract

In this paper, we consider a second-order in time partial integro-differential equation under suitable integrability conditions. We show existence of pullback attractors in functions spaces similar to fractional Sobolev spaces with an evolution process approach.

Journal of Hyperbolic Differential EquationsVol. 22(01)
Universidade Federal do Rio de Janeiro (BR), Universidade Federal da Paraíba (BR), George Washington University (US)
Openalex Percentile: Top 86%
Stability and Controllability of Differential Equations
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