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Exponential attractor for the delayed logistic equation with a nonlinear diffusion
1.  Department of Mathematical Analysis, Charles University, Prague, Sokolovská 83, 186 75 Prague 8 
[1] 
Jiacheng Wang, PengFei Yao. On the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2021043 
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Suqi Ma, Qishao Lu, Shuli Mei. Dynamics of a logistic population model with maturation delay and nonlinear birth rate. Discrete & Continuous Dynamical Systems  B, 2005, 5 (3) : 735752. doi: 10.3934/dcdsb.2005.5.735 
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István Győri, Yukihiko Nakata, Gergely Röst. Unbounded and blowup solutions for a delay logistic equation with positive feedback. Communications on Pure & Applied Analysis, 2018, 17 (6) : 28452854. doi: 10.3934/cpaa.2018134 
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Wenjun Liu, Hefeng Zhuang. Global attractor for a suspension bridge problem with a nonlinear delay term in the internal feedback. Discrete & Continuous Dynamical Systems  B, 2021, 26 (2) : 907942. doi: 10.3934/dcdsb.2020147 
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S.V. Zelik. The attractor for a nonlinear hyperbolic equation in the unbounded domain. Discrete & Continuous Dynamical Systems, 2001, 7 (3) : 593641. doi: 10.3934/dcds.2001.7.593 
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Dalibor Pražák. On the dimension of the attractor for the wave equation with nonlinear damping. Communications on Pure & Applied Analysis, 2005, 4 (1) : 165174. doi: 10.3934/cpaa.2005.4.165 
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Thierry Cazenave, Zheng Han. Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation. Discrete & Continuous Dynamical Systems, 2020, 40 (8) : 48014819. doi: 10.3934/dcds.2020202 
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Manoel J. Dos Santos, Baowei Feng, Dilberto S. Almeida Júnior, Mauro L. Santos. Global and exponential attractors for a nonlinear porous elastic system with delay term. Discrete & Continuous Dynamical Systems  B, 2021, 26 (5) : 28052828. doi: 10.3934/dcdsb.2020206 
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Michael Scheutzow. Exponential growth rate for a singular linear stochastic delay differential equation. Discrete & Continuous Dynamical Systems  B, 2013, 18 (6) : 16831696. doi: 10.3934/dcdsb.2013.18.1683 
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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 
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Zhaojuan Wang, Shengfan Zhou. Random attractor and random exponential attractor for stochastic nonautonomous damped cubic wave equation with linear multiplicative white noise. Discrete & Continuous Dynamical Systems, 2018, 38 (9) : 47674817. doi: 10.3934/dcds.2018210 
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Olivier Goubet, Wided Kechiche. Uniform attractor for nonautonomous nonlinear Schrödinger equation. Communications on Pure & Applied Analysis, 2011, 10 (2) : 639651. doi: 10.3934/cpaa.2011.10.639 
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Wided Kechiche. Regularity of the global attractor for a nonlinear Schrödinger equation with a point defect. Communications on Pure & Applied Analysis, 2017, 16 (4) : 12331252. doi: 10.3934/cpaa.2017060 
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Wided Kechiche. Global attractor for a nonlinear Schrödinger equation with a nonlinearity concentrated in one point. Discrete & Continuous Dynamical Systems  S, 2021, 14 (8) : 30273042. doi: 10.3934/dcdss.2021031 
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Xingni Tan, Fuqi Yin, Guihong Fan. Random exponential attractor for stochastic discrete long waveshort wave resonance equation with multiplicative white noise. Discrete & Continuous Dynamical Systems  B, 2020, 25 (8) : 31533170. doi: 10.3934/dcdsb.2020055 
[16] 
Louis Tebou. Wellposedness and stabilization of an EulerBernoulli equation with a localized nonlinear dissipation involving the $p$Laplacian. Discrete & Continuous Dynamical Systems, 2012, 32 (6) : 23152337. doi: 10.3934/dcds.2012.32.2315 
[17] 
Moez Daoulatli, Irena Lasiecka, Daniel Toundykov. Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions. Discrete & Continuous Dynamical Systems  S, 2009, 2 (1) : 6794. doi: 10.3934/dcdss.2009.2.67 
[18] 
Jeong Ja Bae, Mitsuhiro Nakao. Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains. Discrete & Continuous Dynamical Systems, 2004, 11 (2&3) : 731743. doi: 10.3934/dcds.2004.11.731 
[19] 
Zhihua Liu, Pierre Magal. Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions. Discrete & Continuous Dynamical Systems  B, 2020, 25 (6) : 22712292. doi: 10.3934/dcdsb.2019227 
[20] 
George Avalos, Pelin G. Geredeli, Justin T. Webster. Finite dimensional smooth attractor for the Berger plate with dissipation acting on a portion of the boundary. Communications on Pure & Applied Analysis, 2016, 15 (6) : 23012328. doi: 10.3934/cpaa.2016038 
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