Research Article Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay
نویسندگان
چکیده
We describe a semigroup of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett theorem. We suppose that the linear part is not necessarily densely defined but satisfies the resolvent estimates of the Hille-Yosida theorem. We clarify the properties of the phase space ensuring equivalence between the equation under investigation and the nonlinear semigroup.
منابع مشابه
Existence and Stability for Some Partial Functional Differential Equations with Infinite Delay
We study the existence, regularity, and stability of solutions for some partial functional differential equations with infinite delay. We assume that the linear part is not necessarily densely defined and satisfies the HilleYosida condition on a Banach space X. The nonlinear term takes its values in space larger than X, namely the extrapolated Favard class of the extrapolated semigroup correspo...
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