Viability for Semilinear Differential Equations with Infinite Delay
School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China
These authors contributed equally to this work.
Author to whom correspondence should be addressed.
Academic Editor: Johnny Henderson
Received: 1 September 2016 / Revised: 25 October 2016 / Accepted: 2 November 2016 / Published: 8 November 2016
be a Banach space,
the generator of a compact
a tube in X
a function of Carathéodory type. The main result of this paper is that a necessary and sufficient condition in order that
be viable of the semilinear differential equation with infinite delay
is the tangency condition
for almost every
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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MDPI and ACS Style
Dong, Q.; Li, G. Viability for Semilinear Differential Equations with Infinite Delay. Mathematics 2016, 4, 64.
Dong Q, Li G. Viability for Semilinear Differential Equations with Infinite Delay. Mathematics. 2016; 4(4):64.
Dong, Qixiang; Li, Gang. 2016. "Viability for Semilinear Differential Equations with Infinite Delay." Mathematics 4, no. 4: 64.
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