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Necessary and sufficient conditions for the regularity and stability for some partial functional differential equations with infinite delay

✍ Scribed by Khalil Ezzinbi; Aziz Ouhinou


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
200 KB
Volume
64
Category
Article
ISSN
0362-546X

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✦ Synopsis


In this work we give necessary and sufficient conditions for the regularity and stability of solutions for some partial functional differential equations with infinite delay. We establish also a new characterization of the infinitesimal generator of the solution semigroup.


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✍ Rachid Benkhalti; Hassane Bouzahir; Khalil Ezzinbi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 173 KB

This paper deals with the existence of periodic solutions for some partial functional differential equations with infinite delay. We suppose that the linear part is nondensely defined and satisfies the Hille᎐Yosida condition. In the nonlinear case we give several criteria to ensure the existence of