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Exponential stability of a statedependent delay system
1.  Department of Mathematics and Computing, University of Pannonia, H8201 Veszprém, P.O.Box 158, Hungary, Hungary 
[1] 
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 
[2] 
Eugen Stumpf. Local stability analysis of differential equations with statedependent delay. Discrete & Continuous Dynamical Systems, 2016, 36 (6) : 34453461. doi: 10.3934/dcds.2016.36.3445 
[3] 
Luis Barreira, Claudia Valls. Delay equations and nonuniform exponential stability. Discrete & Continuous Dynamical Systems  S, 2008, 1 (2) : 219223. doi: 10.3934/dcdss.2008.1.219 
[4] 
Qingwen Hu. A model of regulatory dynamics with thresholdtype statedependent delay. Mathematical Biosciences & Engineering, 2018, 15 (4) : 863882. doi: 10.3934/mbe.2018039 
[5] 
Benjamin B. Kennedy. Multiple periodic solutions of statedependent threshold delay equations. Discrete & Continuous Dynamical Systems, 2012, 32 (5) : 18011833. doi: 10.3934/dcds.2012.32.1801 
[6] 
Alexander Rezounenko. Stability of a viral infection model with statedependent delay, CTL and antibody immune responses. Discrete & Continuous Dynamical Systems  B, 2017, 22 (4) : 15471563. doi: 10.3934/dcdsb.2017074 
[7] 
Alexander Rezounenko. Viral infection model with diffusion and statedependent delay: Stability of classical solutions. Discrete & Continuous Dynamical Systems  B, 2018, 23 (3) : 10911105. doi: 10.3934/dcdsb.2018143 
[8] 
HansOtto Walther. On Poisson's statedependent delay. Discrete & Continuous Dynamical Systems, 2013, 33 (1) : 365379. doi: 10.3934/dcds.2013.33.365 
[9] 
Tomás Caraballo, José Real, T. Taniguchi. The exponential stability of neutral stochastic delay partial differential equations. Discrete & Continuous Dynamical Systems, 2007, 18 (2&3) : 295313. doi: 10.3934/dcds.2007.18.295 
[10] 
Serge Nicaise, Cristina Pignotti, Julie Valein. Exponential stability of the wave equation with boundary timevarying delay. Discrete & Continuous Dynamical Systems  S, 2011, 4 (3) : 693722. doi: 10.3934/dcdss.2011.4.693 
[11] 
Linfang Liu, Tomás Caraballo, Xianlong Fu. Exponential stability of an incompressible nonNewtonian fluid with delay. Discrete & Continuous Dynamical Systems  B, 2018, 23 (10) : 42854303. doi: 10.3934/dcdsb.2018138 
[12] 
Xiang Xie, Honglei Xu, Xinming Cheng, Yilun Yu. Improved results on exponential stability of discretetime switched delay systems. Discrete & Continuous Dynamical Systems  B, 2017, 22 (1) : 199208. doi: 10.3934/dcdsb.2017010 
[13] 
Igor Chueshov, Peter E. Kloeden, Meihua Yang. Long term dynamics of second orderintime stochastic evolution equations with statedependent delay. Discrete & Continuous Dynamical Systems  B, 2018, 23 (3) : 9911009. doi: 10.3934/dcdsb.2018139 
[14] 
Soniya Singh, Sumit Arora, Manil T. Mohan, Jaydev Dabas. Approximate controllability of second order impulsive systems with statedependent delay in Banach spaces. Evolution Equations & Control Theory, 2020 doi: 10.3934/eect.2020103 
[15] 
Shangzhi Li, Shangjiang Guo. Dynamics of a stagestructured population model with a statedependent delay. Discrete & Continuous Dynamical Systems  B, 2020, 25 (9) : 35233551. doi: 10.3934/dcdsb.2020071 
[16] 
Ovide Arino, Eva Sánchez. A saddle point theorem for functional statedependent delay differential equations. Discrete & Continuous Dynamical Systems, 2005, 12 (4) : 687722. doi: 10.3934/dcds.2005.12.687 
[17] 
Tibor Krisztin. A local unstable manifold for differential equations with statedependent delay. Discrete & Continuous Dynamical Systems, 2003, 9 (4) : 9931028. doi: 10.3934/dcds.2003.9.993 
[18] 
Qingwen Hu, Bernhard LaniWayda, Eugen Stumpf. Preface: Delay differential equations with statedependent delays and their applications. Discrete & Continuous Dynamical Systems  S, 2020, 13 (1) : ii. doi: 10.3934/dcdss.20201i 
[19] 
Ismael Maroto, Carmen NÚÑez, Rafael Obaya. Dynamical properties of nonautonomous functional differential equations with statedependent delay. Discrete & Continuous Dynamical Systems, 2017, 37 (7) : 39393961. doi: 10.3934/dcds.2017167 
[20] 
Odo Diekmann, Karolína Korvasová. Linearization of solution operators for statedependent delay equations: A simple example. Discrete & Continuous Dynamical Systems, 2016, 36 (1) : 137149. doi: 10.3934/dcds.2016.36.137 
2020 Impact Factor: 1.392
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