Asymptotic behavior of solutions to a class of non-autonomous delay differential equations

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• 作者：Bingwen Liu ; ^{liubw007@aliyun.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Bernfeld&ndash ; Haddock conjecture ; Non-autonomous differential equation ; Time-varying delay ; Asymptotic behavior
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：446
• 期：1
• 页码：580-590
• 全文大小：326 K

文摘

In this paper, we study the asymptotic behavior of solutions of a class of non-autonomous delay differential equations. These equations have important practical applications and generalize those on which Bernfeld and Haddock conjectured that each solution of the equations tends to a constant. It is shown that every solution of the equations is bounded and tends to a constant as class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16305030&_mathId=si1.gif&_user=111111111&_pii=S0022247X16305030&_rdoc=1&_issn=0022247X&md5=76588297ed683c5ba6d90b7271679079" title="Click to view the MathML source">t→+∞class="mathContainer hidden">class="mathCode">$t\to +\infty$, which improves and extends some existing ones.