Stability and Hopf Bifurcation Analysis for Functional Differential Equation with Distributed Delay

Yuan Yuan; Jacques Bélair

doi:10.1137/100794493

Stability and Hopf Bifurcation Analysis for Functional Differential Equation with Distributed Delay

SIAM Journal on Applied Dynamical Systems ◽

10.1137/100794493 ◽

2011 ◽

Vol 10 (2) ◽

pp. 551-581 ◽

Cited By ~ 24

Author(s):

Yuan Yuan ◽

Jacques Bélair

Keyword(s):

Differential Equation ◽

Hopf Bifurcation ◽

Functional Differential Equation ◽

Bifurcation Analysis ◽

Distributed Delay ◽

Functional Differential

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Symbolic computation of normal form for Hopf bifurcation in a retarded functional differential equation with unknown parameters

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.11.035 ◽

2012 ◽

Vol 17 (8) ◽

pp. 3328-3344 ◽

Cited By ~ 1

Author(s):

Li Zhang ◽

Huailei Wang ◽

Haiyan Hu

Keyword(s):

Differential Equation ◽

Hopf Bifurcation ◽

Normal Form ◽

Symbolic Computation ◽

Functional Differential Equation ◽

Unknown Parameters ◽

Retarded Functional Differential Equation ◽

Functional Differential

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Existence of p-mean Almost Periodic Mild Solution for Fractional Stochastic Neutral Functional Differential Equation

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-021-1033-9 ◽

2021 ◽

Vol 37 (3) ◽

pp. 645-656

Author(s):

Xiao-ke Sun ◽

Ping He

Keyword(s):

Differential Equation ◽

Mild Solution ◽

Functional Differential Equation ◽

Almost Periodic ◽

Neutral Functional Differential Equation ◽

Functional Differential

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Subspaces of Stable and Unstable Solutions of a Functional Differential Equation in a Fading Memory Space: The Critical Case

SIAM Journal on Mathematical Analysis ◽

10.1137/0518096 ◽

1987 ◽

Vol 18 (5) ◽

pp. 1323-1340 ◽

Cited By ~ 1

Author(s):

G. S. Jordan ◽

Olof J. Staffans ◽

Robert L. Wheeler

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Critical Case ◽

Fading Memory ◽

Memory Space ◽

Unstable Solutions ◽

Functional Differential

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Numerical treatment for boundary value problems of Pantograph functional differential equation using computational intelligence algorithms

Applied Soft Computing ◽

10.1016/j.asoc.2014.08.055 ◽

2014 ◽

Vol 24 ◽

pp. 806-821 ◽

Cited By ~ 48

Author(s):

Muhammad Asif Zahoor Raja

Keyword(s):

Differential Equation ◽

Boundary Value Problems ◽

Functional Differential Equation ◽

Computational Intelligence ◽

Boundary Value ◽

Numerical Treatment ◽

Functional Differential

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An efficient algorithmic method to solve Hammerstein integral equations and application to a functional differential equation

Advances in Mechanical Engineering ◽

10.1177/1687814017701704 ◽

2017 ◽

Vol 9 (6) ◽

pp. 168781401770170 ◽

Cited By ~ 4

Author(s):

E Abdolmaleki ◽

H Saberi Najafi

Keyword(s):

Differential Equation ◽

Integral Equations ◽

Functional Differential Equation ◽

Hammerstein Integral Equations ◽

Algorithmic Method ◽

Functional Differential

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Solutions of Impulsive Fractional Neutral Functional Differential Equation

2018 International Conference on Robots & Intelligent System (ICRIS) ◽

10.1109/icris.2018.00151 ◽

2018 ◽

Author(s):

Huiping Fang ◽

Heping Jiang ◽

Jianwei Hu

Keyword(s):

Differential Equation ◽

Functional Differential Equation ◽

Neutral Functional Differential Equation ◽

Functional Differential

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Periodic solutions to a kind of neutral functional differential equation in the critical case

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.01.031 ◽

2004 ◽

Vol 293 (2) ◽

pp. 462-475 ◽

Cited By ~ 12

Author(s):

Shiping Lu ◽

Weigao Ge ◽

Zuxiou Zheng

Keyword(s):

Differential Equation ◽

Periodic Solutions ◽

Functional Differential Equation ◽

Critical Case ◽

Neutral Functional Differential Equation ◽

Functional Differential

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Asymptotic behaviour of solutions to certain nonlinear third order neutral functional differential equation

Heliyon ◽

10.1016/j.heliyon.2021.e06615 ◽

2021 ◽

Vol 7 (4) ◽

pp. e06615

Author(s):

Adeleke Timothy Ademola

Keyword(s):

Differential Equation ◽

Asymptotic Behaviour ◽

Functional Differential Equation ◽

Neutral Functional Differential Equation ◽

Third Order ◽

Asymptotic Behaviour Of Solutions ◽

Functional Differential

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Asymptotic Stability for a Functional Differential Equation in Hilbert Space

Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics ◽

10.1007/978-3-0348-8085-5_23 ◽

2003 ◽

pp. 333-340

Author(s):

Miklavž Mastinšek

Keyword(s):

Differential Equation ◽

Hilbert Space ◽

Asymptotic Stability ◽

Functional Differential Equation ◽

Functional Differential

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On the global existence of solutions of a functional-differential equation

Periodica Mathematica Hungarica ◽

10.1007/bf02017930 ◽

1975 ◽

Vol 6 (4) ◽

pp. 347-351 ◽

Cited By ~ 4

Author(s):

St. Czerwik

Keyword(s):

Differential Equation ◽

Global Existence ◽

Functional Differential Equation ◽

Existence Of Solutions ◽

Global Existence Of Solutions ◽

Functional Differential

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