Stability of nonlinear neutral delay differential equations with variable delays

Publication date

2017-05-03

Authors

Chen, Guiling
Li, Dingshi
Van Gaans, Onno
Lunel, Sjoerd VerduynISNI 0000000110529942

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Document Type

Article
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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.

Keywords

Asymptotic stability, Fixed point theory, Nonlinear neutral differential equations, Variable delay, Analysis

Citation

Chen, G, Li, D, Van Gaans, O & Verduyn Lunel, S 2017, 'Stability of nonlinear neutral delay differential equations with variable delays', Electronic Journal of Differential Equations, vol. 2017, 118, pp. 1-14.