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Global attractivity, I/O monotone smallgain theorems, and biological delay systems
Timeperiodic solutions of the Boltzmann equation
1.  Liu Bie Ju Centre for Mathematical Sciences and Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong, China 
[1] 
Xinjian Wang, Guo Lin. Asymptotic spreading for a timeperiodic predatorprey system. Communications on Pure and Applied Analysis, 2019, 18 (6) : 29832999. doi: 10.3934/cpaa.2019133 
[2] 
Taige Wang, BingYu Zhang. Forced oscillation of viscous Burgers' equation with a timeperiodic force. Discrete and Continuous Dynamical Systems  B, 2021, 26 (2) : 12051221. doi: 10.3934/dcdsb.2020160 
[3] 
Dominika Pilarczyk. Asymptotic stability of singular solution to nonlinear heat equation. Discrete and Continuous Dynamical Systems, 2009, 25 (3) : 9911001. doi: 10.3934/dcds.2009.25.991 
[4] 
Ke Wang, Qi Wang, Feng Yu. Stationary and timeperiodic patterns of twopredator and oneprey systems with preytaxis. Discrete and Continuous Dynamical Systems, 2017, 37 (1) : 505543. doi: 10.3934/dcds.2017021 
[5] 
Xiaoping Zhai, Yongsheng Li. Global large solutions and optimal timedecay estimates to the Korteweg system. Discrete and Continuous Dynamical Systems, 2021, 41 (3) : 13871413. doi: 10.3934/dcds.2020322 
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Bara Kim, Jeongsim Kim. Explicit solution for the stationary distribution of a discretetime finite buffer queue. Journal of Industrial and Management Optimization, 2016, 12 (3) : 11211133. doi: 10.3934/jimo.2016.12.1121 
[7] 
Xiongxiong Bao, WanTong Li, ZhiCheng Wang. Uniqueness and stability of timeperiodic pyramidal fronts for a periodic competitiondiffusion system. Communications on Pure and Applied Analysis, 2020, 19 (1) : 253277. doi: 10.3934/cpaa.2020014 
[8] 
Ellen Baake, Michael Baake, Majid Salamat. The general recombination equation in continuous time and its solution. Discrete and Continuous Dynamical Systems, 2016, 36 (1) : 6395. doi: 10.3934/dcds.2016.36.63 
[9] 
Guofu Lu. Nonexistence and short time asymptotic behavior of sourcetype solution for porous medium equation with convection in onedimension. Discrete and Continuous Dynamical Systems  B, 2016, 21 (5) : 15671586. doi: 10.3934/dcdsb.2016011 
[10] 
JeanClaude Saut, JunIchi Segata. Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion. Discrete and Continuous Dynamical Systems, 2019, 39 (1) : 219239. doi: 10.3934/dcds.2019009 
[11] 
WeiJie Sheng, WanTong Li. Multidimensional stability of timeperiodic planar traveling fronts in bistable reactiondiffusion equations. Discrete and Continuous Dynamical Systems, 2017, 37 (5) : 26812704. doi: 10.3934/dcds.2017115 
[12] 
Hirotada Honda. Globalintime solution and stability of KuramotoSakaguchi equation under nonlocal Coupling. Networks and Heterogeneous Media, 2017, 12 (1) : 2557. doi: 10.3934/nhm.2017002 
[13] 
Tingting Liu, Qiaozhen Ma. Timedependent asymptotic behavior of the solution for plate equations with linear memory. Discrete and Continuous Dynamical Systems  B, 2018, 23 (10) : 45954616. doi: 10.3934/dcdsb.2018178 
[14] 
Yingshan Chen, Shijin Ding, Wenjun Wang. Global existence and timedecay estimates of solutions to the compressible NavierStokesSmoluchowski equations. Discrete and Continuous Dynamical Systems, 2016, 36 (10) : 52875307. doi: 10.3934/dcds.2016032 
[15] 
Shuai Liu, Yuzhu Wang. Optimal timedecay rate of global classical solutions to the generalized compressible OldroydB model. Evolution Equations and Control Theory, 2021 doi: 10.3934/eect.2021041 
[16] 
Yalçin Sarol, Frederi Viens. Time regularity of the evolution solution to fractional stochastic heat equation. Discrete and Continuous Dynamical Systems  B, 2006, 6 (4) : 895910. doi: 10.3934/dcdsb.2006.6.895 
[17] 
Ellen Baake, Michael Baake, Majid Salamat. Erratum and addendum to: The general recombination equation in continuous time and its solution. Discrete and Continuous Dynamical Systems, 2016, 36 (4) : 23652366. doi: 10.3934/dcds.2016.36.2365 
[18] 
Cong He, Hongjun Yu. Large time behavior of the solution to the Landau Equation with specular reflective boundary condition. Kinetic and Related Models, 2013, 6 (3) : 601623. doi: 10.3934/krm.2013.6.601 
[19] 
JeanJérôme Casanova. Existence of timeperiodic strong solutions to a fluid–structure system. Discrete and Continuous Dynamical Systems, 2019, 39 (6) : 32913313. doi: 10.3934/dcds.2019136 
[20] 
Martin Heida, Alexander Mielke. Averaging of timeperiodic dissipation potentials in rateindependent processes. Discrete and Continuous Dynamical Systems  S, 2017, 10 (6) : 13031327. doi: 10.3934/dcdss.2017070 
2020 Impact Factor: 1.392
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