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Attractors for semilinear strongly damped wave equations on $\mathbb R^3$
Oscillation death in systems of oscillators with transferable coupling and timedelay
1.  Department of Applied Mathematics, Shanghai Jiao Tong University, Shanghai, 200030, China, China 
2.  Mathematics/Computer Science Department, University of San Diego, San Diego, CA 92110, United States 
[1] 
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 
[2] 
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 
[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] 
Yaru Xie, Genqi Xu. Exponential stability of 1d wave equation with the boundary time delay based on the interior control. Discrete & Continuous Dynamical Systems  S, 2017, 10 (3) : 557579. doi: 10.3934/dcdss.2017028 
[5] 
Sylvia Novo, Rafael Obaya, Ana M. Sanz. Exponential stability in nonautonomous delayed equations with applications to neural networks. Discrete & Continuous Dynamical Systems  A, 2007, 18 (2&3) : 517536. doi: 10.3934/dcds.2007.18.517 
[6] 
Rui Hu, Yuan Yuan. Stability, bifurcation analysis in a neural network model with delay and diffusion. Conference Publications, 2009, 2009 (Special) : 367376. doi: 10.3934/proc.2009.2009.367 
[7] 
István Györi, Ferenc Hartung. Exponential stability of a statedependent delay system. Discrete & Continuous Dynamical Systems  A, 2007, 18 (4) : 773791. doi: 10.3934/dcds.2007.18.773 
[8] 
Farah Abdallah, Denis Mercier, Serge Nicaise. Spectral analysis and exponential or polynomial stability of some indefinite sign damped problems. Evolution Equations & Control Theory, 2013, 2 (1) : 133. doi: 10.3934/eect.2013.2.1 
[9] 
Xiong Li. The stability of the equilibrium for a perturbed asymmetric oscillator. Communications on Pure & Applied Analysis, 2006, 5 (3) : 515528. doi: 10.3934/cpaa.2006.5.515 
[10] 
Xiong Li. The stability of the equilibrium for a perturbed asymmetric oscillator. Communications on Pure & Applied Analysis, 2007, 6 (1) : 6982. doi: 10.3934/cpaa.2007.6.69 
[11] 
Tomás Caraballo, José Real, T. Taniguchi. The exponential stability of neutral stochastic delay partial differential equations. Discrete & Continuous Dynamical Systems  A, 2007, 18 (2&3) : 295313. doi: 10.3934/dcds.2007.18.295 
[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] 
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 
[14] 
Cecilia Cavaterra, M. Grasselli. Robust exponential attractors for population dynamics models with infinite time delay. Discrete & Continuous Dynamical Systems  B, 2006, 6 (5) : 10511076. doi: 10.3934/dcdsb.2006.6.1051 
[15] 
Takeshi Taniguchi. The exponential behavior of NavierStokes equations with time delay external force. Discrete & Continuous Dynamical Systems  A, 2005, 12 (5) : 9971018. doi: 10.3934/dcds.2005.12.997 
[16] 
Ben Niu, Weihua Jiang. Dynamics of a limit cycle oscillator with extended delay feedback. Discrete & Continuous Dynamical Systems  B, 2013, 18 (5) : 14391458. doi: 10.3934/dcdsb.2013.18.1439 
[17] 
Yanbin Tang, Ming Wang. A remark on exponential stability of timedelayed Burgers equation. Discrete & Continuous Dynamical Systems  B, 2009, 12 (1) : 219225. doi: 10.3934/dcdsb.2009.12.219 
[18] 
Jacek Banasiak, Marcin Moszyński. Dynamics of birthanddeath processes with proliferation  stability and chaos. Discrete & Continuous Dynamical Systems  A, 2011, 29 (1) : 6779. doi: 10.3934/dcds.2011.29.67 
[19] 
Jianfeng Feng, Mariya Shcherbina, Brunello Tirozzi. Stability of the dynamics of an asymmetric neural network. Communications on Pure & Applied Analysis, 2009, 8 (2) : 655671. doi: 10.3934/cpaa.2009.8.655 
[20] 
Junya Nishiguchi. On parameter dependence of exponential stability of equilibrium solutions in differential equations with a single constant delay. Discrete & Continuous Dynamical Systems  A, 2016, 36 (10) : 56575679. doi: 10.3934/dcds.2016048 
2018 Impact Factor: 1.143
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