VIABILITY FOR SEMILINEAR DIFFERENTIAL EQUATIONS OF RETARDED TYPE

Title & Authors
VIABILITY FOR SEMILINEAR DIFFERENTIAL EQUATIONS OF RETARDED TYPE
Dong, Qixiang; Li, Gang;

Abstract
Let X be a Banach space, $\small{A:D(A){\subset}X{\rightarrow}X}$ the generator of a compact $\small{C_0-semigroup\;S(t):X{\rightarrow}X,\;t{\geq}0}$, D a locally closed subset in X, and $\small{f:(a,b){\times}C([-q,0];X){\rightarrow}X}$ a function of Caratheodory type. The main result of this paper is that a necessary and sufficient condition in order that D be a viable domain of the semi linear differential equation of retarded type u#(t)
Keywords
viable domain;differential equation of retarded type;tangency condition;
Language
English
Cited by
1.
Viability for Semilinear Differential Equations with Infinite Delay, Mathematics, 2016, 4, 4, 64
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