Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843355 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 13 Pages |
Abstract
In this work, we study the stability of the solution semigroup for some linear partial functional differential equations with infinite delay in a Banach space when the exponential stability fails. We use the so-called characteristic equation to compute the order of each pole of the resolvent operator associated with the infinitesimal generator of the solution semigroup. This result allows us to give sufficient conditions for having stability of the solution semigroup.
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Authors
Khalil Ezzinbi, Aziz Ouhinou,