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Uniform general stability of a coupled Volterra integro-differential equations with fading memories

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Abstract

In this work, we consider a coupled linear integro-differential wave system with memory. We study the existence and uniqueness of global solutions and prove the uniform stabilization of the total energy when time goes to infinity. To do this, we follow the lines of Conti et al. (Math Models Methods Appl Sci 18(1):21–45, 2008) and Conti and Pata (Z Angew Math Phys 71(1):6, 2020) and use the semigroup approach as the main tool.

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Authors and Affiliations

  1. Department of Mathematics, Federal University of Santa Maria, Santa Maria, RS, 97105-900, Brazil

    C. Buriol

  2. Department of Mathematics, Federal University of Pampa, Campus Itaqui, Itaqui, RS, 97650-000, Brazil

    L. G. Delatorre & D. C. Soares

  3. PhD Program in Mathematics, Federal University of Pará, Belém, PA, 66075-110, Brazil

    E. H. Gomes Tavares

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  1. C. Buriol
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  2. L. G. Delatorre
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  3. E. H. Gomes Tavares
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  4. D. C. Soares
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Buriol, C., Delatorre, L.G., Tavares, E.H.G. et al. Uniform general stability of a coupled Volterra integro-differential equations with fading memories. Z. Angew. Math. Phys. 74, 66 (2023). https://doi.org/10.1007/s00033-023-01963-5

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