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Equivariant versal unfoldings for linear retarded functional differential equations
1.  Faculty of Science, University of Ontario Institute of Technology, 2000 Simcoe St. North, Oshawa, ON L1H 7K4, Canada 
2.  Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON K1N 6N5, Canada 
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Víctor Guíñez, Eduardo Sáez. Versal Unfoldings for rank2 singularities of positive quadratic differential forms: The remaining case. Discrete & Continuous Dynamical Systems  A, 2005, 12 (5) : 887904. doi: 10.3934/dcds.2005.12.887 
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Ovide Arino, Eva Sánchez. A saddle point theorem for functional statedependent delay differential equations. Discrete & Continuous Dynamical Systems  A, 2005, 12 (4) : 687722. doi: 10.3934/dcds.2005.12.687 
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Ismael Maroto, Carmen NÚÑez, Rafael Obaya. Dynamical properties of nonautonomous functional differential equations with statedependent delay. Discrete & Continuous Dynamical Systems  A, 2017, 37 (7) : 39393961. doi: 10.3934/dcds.2017167 
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Ismael Maroto, Carmen Núñez, Rafael Obaya. Exponential stability for nonautonomous functional differential equations with statedependent delay. Discrete & Continuous Dynamical Systems  B, 2017, 22 (8) : 31673197. doi: 10.3934/dcdsb.2017169 
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Tomás Caraballo, Gábor Kiss. Attractivity for neutral functional differential equations. Discrete & Continuous Dynamical Systems  B, 2013, 18 (7) : 17931804. doi: 10.3934/dcdsb.2013.18.1793 
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Michael Dellnitz, Mirko HesselVon Molo, Adrian Ziessler. On the computation of attractors for delay differential equations. Journal of Computational Dynamics, 2016, 3 (1) : 93112. doi: 10.3934/jcd.2016005 
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Hermann Brunner, Stefano Maset. Time transformations for delay differential equations. Discrete & Continuous Dynamical Systems  A, 2009, 25 (3) : 751775. doi: 10.3934/dcds.2009.25.751 
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Klaudiusz Wójcik, Piotr Zgliczyński. Topological horseshoes and delay differential equations. Discrete & Continuous Dynamical Systems  A, 2005, 12 (5) : 827852. doi: 10.3934/dcds.2005.12.827 
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Xiuli Sun, Rong Yuan, Yunfei Lv. Global Hopf bifurcations of neutral functional differential equations with statedependent delay. Discrete & Continuous Dynamical Systems  B, 2018, 23 (2) : 667700. doi: 10.3934/dcdsb.2018038 
[10] 
Rafael Obaya, Ana M. Sanz. Persistence in nonautonomous quasimonotone parabolic partial functional differential equations with delay. Discrete & Continuous Dynamical Systems  B, 2019, 24 (8) : 39473970. doi: 10.3934/dcdsb.2018338 
[11] 
Sylvia Novo, Carmen Núñez, Rafael Obaya, Ana M. Sanz. Skewproduct semiflows for nonautonomous partial functional differential equations with delay. Discrete & Continuous Dynamical Systems  A, 2014, 34 (10) : 42914321. doi: 10.3934/dcds.2014.34.4291 
[12] 
Ya Wang, Fuke Wu, Xuerong Mao, Enwen Zhu. Advances in the LaSalletype theorems for stochastic functional differential equations with infinite delay. Discrete & Continuous Dynamical Systems  B, 2020, 25 (1) : 287300. doi: 10.3934/dcdsb.2019182 
[13] 
Fuke Wu, Shigeng Hu. The LaSalletype theorem for neutral stochastic functional differential equations with infinite delay. Discrete & Continuous Dynamical Systems  A, 2012, 32 (3) : 10651094. doi: 10.3934/dcds.2012.32.1065 
[14] 
Abdelhai Elazzouzi, Aziz Ouhinou. Optimal regularity and stability analysis in the $\alpha$Norm for a class of partial functional differential equations with infinite delay. Discrete & Continuous Dynamical Systems  A, 2011, 30 (1) : 115135. doi: 10.3934/dcds.2011.30.115 
[15] 
Vitalii G. Kurbatov, Valentina I. Kuznetsova. On stability of functional differential equations with rapidly oscillating coefficients. Communications on Pure & Applied Analysis, 2018, 17 (1) : 267283. doi: 10.3934/cpaa.2018016 
[16] 
Yongqiang Suo, Chenggui Yuan. Large deviations for neutral stochastic functional differential equations. Communications on Pure & Applied Analysis, 2020, 19 (4) : 23692384. doi: 10.3934/cpaa.2020103 
[17] 
Olesya V. Solonukha. On nonlinear and quasiliniear elliptic functional differential equations. Discrete & Continuous Dynamical Systems  S, 2016, 9 (3) : 869893. doi: 10.3934/dcdss.2016033 
[18] 
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi, Maria Patrizia Pera. On general properties of retarded functional differential equations on manifolds. Discrete & Continuous Dynamical Systems  A, 2013, 33 (1) : 2746. doi: 10.3934/dcds.2013.33.27 
[19] 
John A. D. Appleby, Denis D. Patterson. Subexponential growth rates in functional differential equations. Conference Publications, 2015, 2015 (special) : 5665. doi: 10.3934/proc.2015.0056 
[20] 
Nguyen Thieu Huy, Ngo Quy Dang. Dichotomy and periodic solutions to partial functional differential equations. Discrete & Continuous Dynamical Systems  B, 2017, 22 (8) : 31273144. doi: 10.3934/dcdsb.2017167 
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