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Asymptotic constancy for a differential equation with multiple state-dependent delays
Authors:Wentao Wang   Guangxue Yue  Chunxia Ou  
Affiliation:aCollege of Mathematics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, PR China;bApplied Mathematics Institute, Guangdong University of Technology, Guangzhou, 510290, PR China
Abstract:In this paper, we investigate the asymptotic behavior of solutions to a differential equation with multiple state-dependent delays. It is shown that every bounded solution of such an equation tends to a constant as t. Our results improve and extend some corresponding ones already known.
Keywords:Asymptotic constancy   Differential equation   Solution   State-dependent delay     mml2"  >  text-decoration:none   color:black"   href="  /science?_ob=MathURL&_method=retrieve&_udi=B6TYH-4WSRF1W-4&_mathId=mml2&_user=10&_cdi=5619&_rdoc=26&_acct=C000053510&_version=1&_userid=1524097&md5=958d17f50f70337edc14f82ce42f6bad"   title="  Click to view the MathML source"   alt="  Click to view the MathML source"  >ω  -limit set
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