On distribution of the roots for an exponential polynomial equation with applications

Xuechen Wang; Haixiu Wu; Junjie Wei

doi:10.1016/j.aml.2018.10.005

On distribution of the roots for an exponential polynomial equation with applications

Xuechen Wang
, Haixiu Wu
, Junjie Wei^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai
Foshan University

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

Abstract

In this paper, we study the distribution of the roots of a kind of exponential polynomial equation which is the characteristic equation of second order neutral differential equations. The results can be regarding as a complementary of the works of Freedman and Kuang Funkcial. Ekvac. 34 (1991) 187. Meanwhile, the stability and existence of Hopf bifurcation of a Liénard neutral delay equation are obtained.

Original language	English
Pages (from-to)	36-41
Number of pages	6
Journal	Applied Mathematics Letters
Volume	90
DOIs	https://doi.org/10.1016/j.aml.2018.10.005
State	Published - Apr 2019
Externally published	Yes

Keywords

Exponential polynomial equation
Hopf bifurcation
Neutral differential equation
Stability switch

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10.1016/j.aml.2018.10.005

Cite this

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title = "On distribution of the roots for an exponential polynomial equation with applications",

abstract = "In this paper, we study the distribution of the roots of a kind of exponential polynomial equation which is the characteristic equation of second order neutral differential equations. The results can be regarding as a complementary of the works of Freedman and Kuang Funkcial. Ekvac. 34 (1991) 187. Meanwhile, the stability and existence of Hopf bifurcation of a Li{\'e}nard neutral delay equation are obtained.",

keywords = "Exponential polynomial equation, Hopf bifurcation, Neutral differential equation, Stability switch",

author = "Xuechen Wang and Haixiu Wu and Junjie Wei",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2019",

month = apr,

doi = "10.1016/j.aml.2018.10.005",

language = "英语",

volume = "90",

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journal = "Applied Mathematics Letters",

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T1 - On distribution of the roots for an exponential polynomial equation with applications

AU - Wang, Xuechen

AU - Wu, Haixiu

AU - Wei, Junjie

PY - 2019/4

Y1 - 2019/4

N2 - In this paper, we study the distribution of the roots of a kind of exponential polynomial equation which is the characteristic equation of second order neutral differential equations. The results can be regarding as a complementary of the works of Freedman and Kuang Funkcial. Ekvac. 34 (1991) 187. Meanwhile, the stability and existence of Hopf bifurcation of a Liénard neutral delay equation are obtained.

AB - In this paper, we study the distribution of the roots of a kind of exponential polynomial equation which is the characteristic equation of second order neutral differential equations. The results can be regarding as a complementary of the works of Freedman and Kuang Funkcial. Ekvac. 34 (1991) 187. Meanwhile, the stability and existence of Hopf bifurcation of a Liénard neutral delay equation are obtained.

KW - Exponential polynomial equation

KW - Hopf bifurcation

KW - Neutral differential equation

KW - Stability switch

UR - https://www.scopus.com/pages/publications/85055982226

U2 - 10.1016/j.aml.2018.10.005

DO - 10.1016/j.aml.2018.10.005

M3 - 文章

AN - SCOPUS:85055982226

SN - 0893-9659

VL - 90

SP - 36

EP - 41

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

On distribution of the roots for an exponential polynomial equation with applications

Abstract

Keywords

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