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Non-linear Semigroup of a Class of Abstract Semilinear Functional Differential Equations with a Non-Dense Domain

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Abstract

In this work, we are concerned with a general class of abstract semilinear autonomous functional differential equations with a non-dense domain on a Banach space. Our objective is to study, using the Crandall-Liggett approach, the solutions as a semigroup of non-linear operators.

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Authors and Affiliations

  1. Département de Mathématiques Appliquées, URS 2055 C.N.R.S, Université de Pau, Avenue de l’Université, 64000, Pau, France

    Mostafa Adimy & Mostafa Laklach

  2. Département de Mathématiques, Faculté des Sciences Semlalia, B. P. 2390, Marrakesh, Marocco

    Khalil Ezzinbi

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  1. Mostafa Adimy
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  2. Mostafa Laklach
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  3. Khalil Ezzinbi
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Correspondence to Mostafa Adimy.

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Adimy, M., Laklach, M. & Ezzinbi, K. Non-linear Semigroup of a Class of Abstract Semilinear Functional Differential Equations with a Non-Dense Domain. Acta Math Sinica 20, 933–942 (2004). https://doi.org/10.1007/s10114-004-0341-3

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  • DOI: https://doi.org/10.1007/s10114-004-0341-3

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