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1.  Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China, China 
[1] 
Benjamin B. Kennedy. Multiple periodic solutions of statedependent threshold delay equations. Discrete & Continuous Dynamical Systems  A, 2012, 32 (5) : 18011833. doi: 10.3934/dcds.2012.32.1801 
[2] 
Jan Sieber. Finding periodic orbits in statedependent delay differential equations as roots of algebraic equations. Discrete & Continuous Dynamical Systems  A, 2012, 32 (8) : 26072651. doi: 10.3934/dcds.2012.32.2607 
[3] 
Odo Diekmann, Karolína Korvasová. Linearization of solution operators for statedependent delay equations: A simple example. Discrete & Continuous Dynamical Systems  A, 2016, 36 (1) : 137149. doi: 10.3934/dcds.2016.36.137 
[4] 
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 
[5] 
Tibor Krisztin. A local unstable manifold for differential equations with statedependent delay. Discrete & Continuous Dynamical Systems  A, 2003, 9 (4) : 9931028. doi: 10.3934/dcds.2003.9.993 
[6] 
Eugen Stumpf. Local stability analysis of differential equations with statedependent delay. Discrete & Continuous Dynamical Systems  A, 2016, 36 (6) : 34453461. doi: 10.3934/dcds.2016.36.3445 
[7] 
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 
[8] 
Redouane Qesmi, HansOtto Walther. Centerstable manifolds for differential equations with statedependent delays. Discrete & Continuous Dynamical Systems  A, 2009, 23 (3) : 10091033. doi: 10.3934/dcds.2009.23.1009 
[9] 
Hermann Brunner, Stefano Maset. Time transformations for statedependent delay differential equations. Communications on Pure & Applied Analysis, 2010, 9 (1) : 2345. doi: 10.3934/cpaa.2010.9.23 
[10] 
Ferenc Hartung, Janos Turi. Linearized stability in functional differential equations with statedependent delays. Conference Publications, 2001, 2001 (Special) : 416425. doi: 10.3934/proc.2001.2001.416 
[11] 
Ferenc Hartung. Parameter estimation by quasilinearization in differential equations with statedependent delays. Discrete & Continuous Dynamical Systems  B, 2013, 18 (6) : 16111631. doi: 10.3934/dcdsb.2013.18.1611 
[12] 
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 
[13] 
Qingwen Hu. A model of regulatory dynamics with thresholdtype statedependent delay. Mathematical Biosciences & Engineering, 2018, 15 (4) : 863882. doi: 10.3934/mbe.2018039 
[14] 
Benjamin B. Kennedy. A periodic solution with nonsimple oscillation for an equation with statedependent delay and strictly monotonic negative feedback. Discrete & Continuous Dynamical Systems  S, 2018, 0 (0) : 4766. doi: 10.3934/dcdss.2020003 
[15] 
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 
[16] 
F. M. G. Magpantay, A. R. Humphries. Generalised LyapunovRazumikhin techniques for scalar statedependent delay differential equations. Discrete & Continuous Dynamical Systems  S, 2018, 0 (0) : 85104. doi: 10.3934/dcdss.2020005 
[17] 
Jitai Liang, Ben Niu, Junjie Wei. Linearized stability for abstract functional differential equations subject to statedependent delays with applications. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 122. doi: 10.3934/dcdsb.2019134 
[18] 
A. R. Humphries, O. A. DeMasi, F. M. G. Magpantay, F. Upham. Dynamics of a delay differential equation with multiple statedependent delays. Discrete & Continuous Dynamical Systems  A, 2012, 32 (8) : 27012727. doi: 10.3934/dcds.2012.32.2701 
[19] 
Bangyu Shen, Xiaojing Wang, Chongyang Liu. Nonlinear statedependent impulsive system in fedbatch culture and its optimal control. Numerical Algebra, Control & Optimization, 2015, 5 (4) : 369380. doi: 10.3934/naco.2015.5.369 
[20] 
Cónall Kelly, Alexandra Rodkina. Constrained stability and instability of polynomial difference equations with statedependent noise. Discrete & Continuous Dynamical Systems  B, 2009, 11 (4) : 913933. doi: 10.3934/dcdsb.2009.11.913 
2018 Impact Factor: 1.008
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