Viability for Semilinear Differential Equations with Infinite Delay
نویسندگان
چکیده
منابع مشابه
Viability for Semilinear Differential Equations with Infinite Delay
Let X be a Banach space, A : D(A) ⊂ X → X the generator of a compact C0-semigroup S(t) : X → X, t ≥ 0, D(·) : (a, b)→ 2X a tube in X, and f : (a, b)×B → X a function of Carathéodory type. The main result of this paper is that a necessary and sufficient condition in order that D(·) be viable of the semilinear differential equation with infinite delay u′(t) = Au(t) + f (t, ut), t ∈ [t0, t0 + T], ...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2016
ISSN: 2227-7390
DOI: 10.3390/math4040064