Stability of nonlinear neutral delay differential equations with variable delays

Guiling Chen; Dingshi Li; Onno Van Gaans; Sjoerd Verduyn Lunel

Stability of nonlinear neutral delay differential equations with variable delays

Guiling Chen
, Dingshi Li^*
, Onno Van Gaans
, Sjoerd Verduyn Lunel

^*Corresponding author for this work

Southwest Jiaotong University
Leiden University

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Article number	118
Pages (from-to)	1-14
Journal	Electronic Journal of Differential Equations
Volume	2017
Publication status	Published - 3 May 2017

Keywords

Asymptotic stability
Fixed point theory
Nonlinear neutral differential equations
Variable delay

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title = "Stability of nonlinear neutral delay differential equations with variable delays",

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",

author = "Guiling Chen and Dingshi Li and \{Van Gaans\}, Onno and \{Verduyn Lunel\}, Sjoerd",

year = "2017",

month = may,

day = "3",

language = "English",

volume = "2017",

pages = "1--14",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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T1 - Stability of nonlinear neutral delay differential equations with variable delays

AU - Chen, Guiling

AU - Li, Dingshi

AU - Van Gaans, Onno

AU - Verduyn Lunel, Sjoerd

PY - 2017/5/3

Y1 - 2017/5/3

N2 - 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.

AB - 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.

KW - Asymptotic stability

KW - Fixed point theory

KW - Nonlinear neutral differential equations

KW - Variable delay

UR - https://www.scopus.com/pages/publications/85019649340

M3 - Article

AN - SCOPUS:85019649340

SN - 1072-6691

SN - 1550-6150

VL - 2017

SP - 1

EP - 14

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 118

ER -

Stability of nonlinear neutral delay differential equations with variable delays

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