Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters

Journal of Differential Equations ◽

10.1016/j.jde.2018.11.025 ◽

2019 ◽

Vol 266 (11) ◽

pp. 7073-7100 ◽

Author(s):

Qi An ◽

Edoardo Beretta ◽

Yang Kuang ◽

Chuncheng Wang ◽

Hao Wang

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Stability Switch ◽

Delay Differential ◽

Delay Dependent

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Delay dependent stability regions of -methods for delay differential equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/18.3.399 ◽

1998 ◽

Vol 18 (3) ◽

pp. 399-418 ◽

Author(s):

N Guglielmi

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Stability Regions ◽

Delay Differential ◽

Delay Dependent ◽

Delay Dependent Stability

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Delay-dependent stability analysis of numerical methods for stochastic delay differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.03.003 ◽

2012 ◽

Vol 236 (14) ◽

pp. 3514-3527 ◽

Author(s):

Chengming Huang ◽

Siqing Gan ◽

Desheng Wang

Keyword(s):

Stability Analysis ◽

Numerical Methods ◽

Differential Equations ◽

Delay Differential Equations ◽

Stochastic Delay Differential Equations ◽

Stochastic Delay ◽

Delay Differential ◽

Delay Dependent ◽

Delay Dependent Stability

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Delay-dependent dissipativity of nonlinear delay differential equations

Applied Mathematics Letters ◽

10.1016/j.aml.2013.04.003 ◽

2013 ◽

Vol 26 (9) ◽

pp. 924-928 ◽

Author(s):

Peng Hu ◽

Rui Qi ◽

Chengming Huang

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Delay Dependent ◽

Nonlinear Delay

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Hopf bifurcation via the Poincaré procedure in delay-differential equations with two delays

Revista Matemática Complutense ◽

10.1007/s13163-012-0099-6 ◽

2012 ◽

Vol 26 (1) ◽

pp. 193-213

Author(s):

M. L. Hbid ◽

E. Sánchez ◽

R. Ouifki

Keyword(s):

Hopf Bifurcation ◽

Differential Equations ◽

Delay Differential Equations ◽

Delay Differential

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On delay-dependent exponential stability of the split-step backward euler method for stochastic delay differential equations

2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP) ◽

10.1109/icicip.2015.7388155 ◽

2015 ◽

Author(s):

Xiaomei Qu

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Delay Differential Equations ◽

Euler Method ◽

Backward Euler Method ◽

Stochastic Delay Differential Equations ◽

Stochastic Delay ◽

Backward Euler ◽

Delay Differential ◽

Delay Dependent

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Insights into the multiplicity-induced-dominancy for scalar delay-differential equations with two delays

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2021.11.124 ◽

2021 ◽

Vol 54 (18) ◽

pp. 108-114

Author(s):

Sébastien Fueyo ◽

Guilherme Mazanti ◽

Islam Boussaada ◽

Yacine Chitour ◽

Silviu-Iulian Niculescu

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Delay Differential

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On delay-dependent stability for a class of nonlinear stochastic delay-differential equations

Mathematics of Control Signals and Systems ◽

10.1007/s00498-006-0163-1 ◽

2006 ◽

Vol 18 (2) ◽

pp. 187-197 ◽

Author(s):

Alexandra Rodkina ◽

Michael Basin

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Stochastic Delay Differential Equations ◽

Stochastic Delay ◽

Delay Differential ◽

Delay Dependent ◽

Delay Dependent Stability

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Delay-dependent exponential stability of the backward Euler method for nonlinear stochastic delay differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2012.672731 ◽

2012 ◽

Vol 89 (8) ◽

pp. 1039-1050 ◽

Author(s):

Xiaomei Qu ◽

Chengming Huang

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Delay Differential Equations ◽

Euler Method ◽

Backward Euler Method ◽

Stochastic Delay Differential Equations ◽

Stochastic Delay ◽

Backward Euler ◽

Delay Differential ◽

Delay Dependent

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Delay-dependent stability of symmetric Runge–Kutta methods for second order delay differential equations with three parameters

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.03.005 ◽

2017 ◽

Vol 117 ◽

pp. 103-114

Author(s):

Jingjun Zhao ◽

Yan Fan ◽

Yang Xu

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Second Order ◽

Runge Kutta ◽

Delay Differential ◽

Delay Dependent ◽

Delay Dependent Stability

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Delay-dependent stability analysis of multistep methods for delay differential equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-009-8816-8 ◽

2009 ◽

Vol 25 (4) ◽

pp. 607-616 ◽

Author(s):

Cheng-ming Huang ◽

Yang-zi Hu ◽

Hong-jiong Tian

Keyword(s):

Stability Analysis ◽

Differential Equations ◽

Delay Differential Equations ◽

Multistep Methods ◽

Delay Differential ◽

Delay Dependent ◽

Delay Dependent Stability

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