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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 and 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 and Continuous Dynamical Systems, 2016, 36 (6) : 34453461. doi: 10.3934/dcds.2016.36.3445 
[3] 
Qingwen Hu. A model of regulatory dynamics with thresholdtype statedependent delay. Mathematical Biosciences & Engineering, 2018, 15 (4) : 863882. doi: 10.3934/mbe.2018039 
[4] 
Benjamin B. Kennedy. Multiple periodic solutions of statedependent threshold delay equations. Discrete and Continuous Dynamical Systems, 2012, 32 (5) : 18011833. doi: 10.3934/dcds.2012.32.1801 
[5] 
Luis Barreira, Claudia Valls. Delay equations and nonuniform exponential stability. Discrete and Continuous Dynamical Systems  S, 2008, 1 (2) : 219223. doi: 10.3934/dcdss.2008.1.219 
[6] 
Alexander Rezounenko. Stability of a viral infection model with statedependent delay, CTL and antibody immune responses. Discrete and 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 and Continuous Dynamical Systems  B, 2018, 23 (3) : 10911105. doi: 10.3934/dcdsb.2018143 
[8] 
Aowen Kong, Carlos Nonato, Wenjun Liu, Manoel Dos Santos, Carlos Raposo, Yanning An. Exponential stability for magnetic effected piezoelectric beams with timevarying delay and timedependent weights. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022165 
[9] 
HansOtto Walther. On Poisson's statedependent delay. Discrete and Continuous Dynamical Systems, 2013, 33 (1) : 365379. doi: 10.3934/dcds.2013.33.365 
[10] 
Tomás Caraballo, José Real, T. Taniguchi. The exponential stability of neutral stochastic delay partial differential equations. Discrete and Continuous Dynamical Systems, 2007, 18 (2&3) : 295313. doi: 10.3934/dcds.2007.18.295 
[11] 
Serge Nicaise, Cristina Pignotti, Julie Valein. Exponential stability of the wave equation with boundary timevarying delay. Discrete and Continuous Dynamical Systems  S, 2011, 4 (3) : 693722. doi: 10.3934/dcdss.2011.4.693 
[12] 
Linfang Liu, Tomás Caraballo, Xianlong Fu. Exponential stability of an incompressible nonNewtonian fluid with delay. Discrete and Continuous Dynamical Systems  B, 2018, 23 (10) : 42854303. doi: 10.3934/dcdsb.2018138 
[13] 
Xiang Xie, Honglei Xu, Xinming Cheng, Yilun Yu. Improved results on exponential stability of discretetime switched delay systems. Discrete and Continuous Dynamical Systems  B, 2017, 22 (1) : 199208. doi: 10.3934/dcdsb.2017010 
[14] 
Igor Chueshov, Peter E. Kloeden, Meihua Yang. Long term dynamics of second orderintime stochastic evolution equations with statedependent delay. Discrete and Continuous Dynamical Systems  B, 2018, 23 (3) : 9911009. doi: 10.3934/dcdsb.2018139 
[15] 
Soniya Singh, Sumit Arora, Manil T. Mohan, Jaydev Dabas. Approximate controllability of second order impulsive systems with statedependent delay in Banach spaces. Evolution Equations and Control Theory, 2022, 11 (1) : 6793. doi: 10.3934/eect.2020103 
[16] 
Shangzhi Li, Shangjiang Guo. Dynamics of a stagestructured population model with a statedependent delay. Discrete and Continuous Dynamical Systems  B, 2020, 25 (9) : 35233551. doi: 10.3934/dcdsb.2020071 
[17] 
Ovide Arino, Eva Sánchez. A saddle point theorem for functional statedependent delay differential equations. Discrete and Continuous Dynamical Systems, 2005, 12 (4) : 687722. doi: 10.3934/dcds.2005.12.687 
[18] 
Tibor Krisztin. A local unstable manifold for differential equations with statedependent delay. Discrete and Continuous Dynamical Systems, 2003, 9 (4) : 9931028. doi: 10.3934/dcds.2003.9.993 
[19] 
Qingwen Hu, Bernhard LaniWayda, Eugen Stumpf. Preface: Delay differential equations with statedependent delays and their applications. Discrete and Continuous Dynamical Systems  S, 2020, 13 (1) : ii. doi: 10.3934/dcdss.20201i 
[20] 
Ismael Maroto, Carmen NÚÑez, Rafael Obaya. Dynamical properties of nonautonomous functional differential equations with statedependent delay. Discrete and Continuous Dynamical Systems, 2017, 37 (7) : 39393961. doi: 10.3934/dcds.2017167 
2021 Impact Factor: 1.588
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