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

Article ID Journal Published Year Pages File Type
844218 Nonlinear Analysis: Theory, Methods & Applications 2006 20 Pages PDF
Abstract

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.

Keywords
Integrated semigroupsUniform fading memory spaceHille?Yosida operatorEssential spectrumSemigroups
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Necessary and sufficient conditions for the regularity and stability for some partial functional differential equations with infinite delay
Authors
Khalil Ezzinbi, Aziz Ouhinou,
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Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
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