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On control synthesis for uncertain dynamical discretetime systems through polyhedral techniques
Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to a tumour invasion model
1.  Department of Mathematics, School of Health Sciences, Fujita Health University, Toyoake, Aichi 4701192 
2.  School of Health Sciences, Fujita Health University, Toyoake, Aichi 4701192, Japan, Japan 
References:
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References:
[1] 
Jun Zhou. Global existence and energy decay estimate of solutions for a class of nonlinear higherorder wave equation with general nonlinear dissipation and source term. Discrete and Continuous Dynamical Systems  S, 2017, 10 (5) : 11751185. doi: 10.3934/dcdss.2017064 
[2] 
Kentarou Fujie. Global asymptotic stability in a chemotaxisgrowth model for tumor invasion. Discrete and Continuous Dynamical Systems  S, 2020, 13 (2) : 203209. doi: 10.3934/dcdss.2020011 
[3] 
Kin Ming Hui, Jinwan Park. Asymptotic behaviour of singular solution of the fast diffusion equation in the punctured euclidean space. Discrete and Continuous Dynamical Systems, 2021, 41 (11) : 54735508. doi: 10.3934/dcds.2021085 
[4] 
Ran Zhang, Shengqiang Liu. On the asymptotic behaviour of traveling wave solution for a discrete diffusive epidemic model. Discrete and Continuous Dynamical Systems  B, 2021, 26 (2) : 11971204. doi: 10.3934/dcdsb.2020159 
[5] 
Ghendrih Philippe, Hauray Maxime, Anne Nouri. Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solution. Kinetic and Related Models, 2009, 2 (4) : 707725. doi: 10.3934/krm.2009.2.707 
[6] 
Khalid Latrach, Hatem Megdiche. Time asymptotic behaviour for Rotenberg's model with Maxwell boundary conditions. Discrete and Continuous Dynamical Systems, 2011, 29 (1) : 305321. doi: 10.3934/dcds.2011.29.305 
[7] 
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 
[8] 
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 
[9] 
Yarong Liu, Yejuan Wang. Asymptotic behaviour of time fractional stochastic delay evolution equations with tempered fractional noise. Discrete and Continuous Dynamical Systems  S, 2022 doi: 10.3934/dcdss.2022157 
[10] 
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 
[11] 
Zhaohui Yuan, Xingfu Zou. Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays. Mathematical Biosciences & Engineering, 2013, 10 (2) : 483498. doi: 10.3934/mbe.2013.10.483 
[12] 
Diana M. Thomas, Lynn Vandemuelebroeke, Kenneth Yamaguchi. A mathematical evolution model for phytoremediation of metals. Discrete and Continuous Dynamical Systems  B, 2005, 5 (2) : 411422. doi: 10.3934/dcdsb.2005.5.411 
[13] 
Mohammad A. Rammaha, Daniel Toundykov, Zahava Wilstein. Global existence and decay of energy for a nonlinear wave equation with $p$Laplacian damping. Discrete and Continuous Dynamical Systems, 2012, 32 (12) : 43614390. doi: 10.3934/dcds.2012.32.4361 
[14] 
Peng Gao. Global Carleman estimate for the Kawahara equation and its applications. Communications on Pure and Applied Analysis, 2018, 17 (5) : 18531874. doi: 10.3934/cpaa.2018088 
[15] 
Adam Sullivan, Folashade Agusto, Sharon Bewick, Chunlei Su, Suzanne Lenhart, Xiaopeng Zhao. A mathematical model for withinhost Toxoplasma gondii invasion dynamics. Mathematical Biosciences & Engineering, 2012, 9 (3) : 647662. doi: 10.3934/mbe.2012.9.647 
[16] 
Florian Rupp, Jürgen Scheurle. Analysis of a mathematical model for jellyfish blooms and the cambric fish invasion. Conference Publications, 2013, 2013 (special) : 663672. doi: 10.3934/proc.2013.2013.663 
[17] 
Luis Caffarelli, JuanLuis Vázquez. Asymptotic behaviour of a porous medium equation with fractional diffusion. Discrete and Continuous Dynamical Systems, 2011, 29 (4) : 13931404. doi: 10.3934/dcds.2011.29.1393 
[18] 
Xiaoli Wang, Peter Kloeden, Meihua Yang. Asymptotic behaviour of a neural field lattice model with delays. Electronic Research Archive, 2020, 28 (2) : 10371048. doi: 10.3934/era.2020056 
[19] 
Toru Sasaki, Takashi Suzuki. Asymptotic behaviour of the solutions to a virus dynamics model with diffusion. Discrete and Continuous Dynamical Systems  B, 2018, 23 (2) : 525541. doi: 10.3934/dcdsb.2017206 
[20] 
Boris P. Belinskiy, Peter Caithamer. Energy estimate for the wave equation driven by a fractional Gaussian noise. Conference Publications, 2007, 2007 (Special) : 92101. doi: 10.3934/proc.2007.2007.92 
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