Viability for Semilinear Differential Equations with Infinite Delay

Let X be a Banach space, A : D ( A ) ⊂ X → X the generator of a compact C 0 -semigroup S ( t ) : X → X , t ≥ 0 , D ( · ) : ( a , b ) → 2 X a tube in X, and f : ( a , b ) × B → X a function of Carathéodory type. The main result of this paper is that a neces...

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Bibliographic Details
Main Authors: Qixiang Dong, Gang Li
Format: Article
Language:English
Published: MDPI AG 2016-11-01
Series:Mathematics
Subjects:
Online Access:http://www.mdpi.com/2227-7390/4/4/64