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The longtime behaviour for nonlinear Schrödinger equation and its rational pseudospectral approximation
Global stability in a regulated logistic growth model
1.  Department of Mathematics, National Technical University 'KPI', Kiev, Ukraine 
2.  Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca 
[1] 
Xianhua Tang, Xingfu Zou. A 3/2 stability result for a regulated logistic growth model. Discrete & Continuous Dynamical Systems  B, 2002, 2 (2) : 265278. doi: 10.3934/dcdsb.2002.2.265 
[2] 
Anatoli F. Ivanov, Musa A. Mammadov. Global asymptotic stability in a class of nonlinear differential delay equations. Conference Publications, 2011, 2011 (Special) : 727736. doi: 10.3934/proc.2011.2011.727 
[3] 
Songbai Guo, Wanbiao Ma. Global behavior of delay differential equations model of HIV infection with apoptosis. Discrete & Continuous Dynamical Systems  B, 2016, 21 (1) : 103119. doi: 10.3934/dcdsb.2016.21.103 
[4] 
Tomas Alarcon, Philipp Getto, Anna MarciniakCzochra, Maria dM Vivanco. A model for stem cell population dynamics with regulated maturation delay. Conference Publications, 2011, 2011 (Special) : 3243. doi: 10.3934/proc.2011.2011.32 
[5] 
Leonid Berezansky, Elena Braverman. Stability of linear differential equations with a distributed delay. Communications on Pure & Applied Analysis, 2011, 10 (5) : 13611375. doi: 10.3934/cpaa.2011.10.1361 
[6] 
Tomás Caraballo, P.E. Kloeden, Pedro MarínRubio. Numerical and finite delay approximations of attractors for logistic differentialintegral equations with infinite delay. Discrete & Continuous Dynamical Systems  A, 2007, 19 (1) : 177196. doi: 10.3934/dcds.2007.19.177 
[7] 
Eduardo Liz, Gergely Röst. On the global attractor of delay differential equations with unimodal feedback. Discrete & Continuous Dynamical Systems  A, 2009, 24 (4) : 12151224. doi: 10.3934/dcds.2009.24.1215 
[8] 
Teresa Faria, José J. Oliveira. On stability for impulsive delay differential equations and application to a periodic LasotaWazewska model. Discrete & Continuous Dynamical Systems  B, 2016, 21 (8) : 24512472. doi: 10.3934/dcdsb.2016055 
[9] 
Jan Čermák, Jana Hrabalová. Delaydependent stability criteria for neutral delay differential and difference equations. Discrete & Continuous Dynamical Systems  A, 2014, 34 (11) : 45774588. doi: 10.3934/dcds.2014.34.4577 
[10] 
BaoZhu Guo, LiMing Cai. A note for the global stability of a delay differential equation of hepatitis B virus infection. Mathematical Biosciences & Engineering, 2011, 8 (3) : 689694. doi: 10.3934/mbe.2011.8.689 
[11] 
Leonid Shaikhet. Stability of equilibriums of stochastically perturbed delay differential neoclassical growth model. Discrete & Continuous Dynamical Systems  B, 2017, 22 (4) : 15651573. doi: 10.3934/dcdsb.2017075 
[12] 
Chun Wang, TianZhou Xu. Stability of the nonlinear fractional differential equations with the rightsided RiemannLiouville fractional derivative. Discrete & Continuous Dynamical Systems  S, 2017, 10 (3) : 505521. doi: 10.3934/dcdss.2017025 
[13] 
Fahd Jarad, Sugumaran Harikrishnan, Kamal Shah, Kuppusamy Kanagarajan. Existence and stability results to a class of fractional random implicit differential equations involving a generalized Hilfer fractional derivative. Discrete & Continuous Dynamical Systems  S, 2018, 0 (0) : 723739. doi: 10.3934/dcdss.2020040 
[14] 
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 
[15] 
Samuel Bernard, Fabien Crauste. Optimal linear stability condition for scalar differential equations with distributed delay. Discrete & Continuous Dynamical Systems  B, 2015, 20 (7) : 18551876. doi: 10.3934/dcdsb.2015.20.1855 
[16] 
Eugen Stumpf. Local stability analysis of differential equations with statedependent delay. Discrete & Continuous Dynamical Systems  A, 2016, 36 (6) : 34453461. doi: 10.3934/dcds.2016.36.3445 
[17] 
Cemil Tunç. Stability, boundedness and uniform boundedness of solutions of nonlinear delay differential equations. Conference Publications, 2011, 2011 (Special) : 13951403. doi: 10.3934/proc.2011.2011.1395 
[18] 
Samuel Bernard, Jacques Bélair, Michael C Mackey. Sufficient conditions for stability of linear differential equations with distributed delay. Discrete & Continuous Dynamical Systems  B, 2001, 1 (2) : 233256. doi: 10.3934/dcdsb.2001.1.233 
[19] 
Gang Huang, Yasuhiro Takeuchi, Rinko Miyazaki. Stability conditions for a class of delay differential equations in single species population dynamics. Discrete & Continuous Dynamical Systems  B, 2012, 17 (7) : 24512464. doi: 10.3934/dcdsb.2012.17.2451 
[20] 
Stéphane Junca, Bruno Lombard. Stability of neutral delay differential equations modeling wave propagation in cracked media. Conference Publications, 2015, 2015 (special) : 678685. doi: 10.3934/proc.2015.0678 
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