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http://dx.doi.org/10.14403/jcms.2013.26.3.631

EXISTENCE OF GLOBAL ATTRACTOR FOR CAUCHY PROBLEMS  

Choi, Sung Kyu (Department of Mathematics Chungnam National University)
Jang, Hyun Ho (Department of Mathematics Chungnam National University)
Koo, Namjip (Department of Mathematics Chungnam National University)
Yun, Chanmi (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.3, 2013 , pp. 631-639 More about this Journal
Abstract
We investigate the existence of a global attractor for the Cauchy problem $$x^{\prime}(t)=Ax(t)+F(x(t)),\;x(0)=x_0{\in}X$$ on a Banach space X according to the remark in You and Yuan's paper.
Keywords
global attractor; integral solution; generator; point dissipative; functional differential equation; Hille-Yosida operator;
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