Guiling Chen, Dingshi Li, Onno van Gaans, Sjoerd Verduyn Lunel
Abstract:
We present new criteria for asymptotic stability of two classes of
nonlinear neutral delay differential equations.
By using two auxiliary functions on a contraction condition, we
extend the results in [12]. Also we give two examples that
illustrate our results.
Submitted December 16, 2016. Published May 3, 2017.
Math Subject Classifications: 34K20, 34K25, 34K40.
Key Words: Asymptotic stability; fixed point theory; variable delay;
nonlinear neutral differential equations.
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Guiling Chen Department of Mathematics Southwest Jiaotong University Chengdu 610031, China email: guiling@home.swjtu.edu.cn |
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Dingshi Li Department of Mathematics Southwest Jiaotong University Chengdu 610031, China email: lidingshi2006@163.com |
| Onno van Gaans Mathematical Institute, Leiden University P.O. Box 9512, 2300 RA Leiden, The Netherlands email: vangaans@math.leidenuniv.nl | |
| Sjoerd Verduyn Lunel Mathematical Institute, Utrecht University P.O. Box 80010, 3508 TA Utrecht, The Netherlands email: S.M.VerduynLunel@uu.nl |
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