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Characterization of the dynamic behavior of nonlinear biosystems in the presence of model uncertainty using singular invariance PDEs: Application to immobilized enzyme and cell bioreactors
Wave fronts in neuronal fields with nonlocal postsynaptic axonal connections and delayed nonlocal feedback connections
1.  Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada 
2.  Department of Applied Mathematics, University of Western Ontario, London, Ontario N6A 5B7 
[1] 
Kyudong Choi. Persistence of Hölder continuity for nonlocal integrodifferential equations. Discrete & Continuous Dynamical Systems  A, 2013, 33 (5) : 17411771. doi: 10.3934/dcds.2013.33.1741 
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Tao Wang. Global dynamics of a nonlocal delayed differential equation in the half plane. Communications on Pure & Applied Analysis, 2014, 13 (6) : 24752492. doi: 10.3934/cpaa.2014.13.2475 
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Liang Zhang, Bingtuan Li. Traveling wave solutions in an integrodifferential competition model. Discrete & Continuous Dynamical Systems  B, 2012, 17 (1) : 417428. doi: 10.3934/dcdsb.2012.17.417 
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Walter Allegretto, John R. Cannon, Yanping Lin. A parabolic integrodifferential equation arising from thermoelastic contact. Discrete & Continuous Dynamical Systems  A, 1997, 3 (2) : 217234. doi: 10.3934/dcds.1997.3.217 
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Shihchung Chiang. Numerical optimal unbounded control with a singular integrodifferential equation as a constraint. Conference Publications, 2013, 2013 (special) : 129137. doi: 10.3934/proc.2013.2013.129 
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Frederic Abergel, Remi Tachet. A nonlinear partial integrodifferential equation from mathematical finance. Discrete & Continuous Dynamical Systems  A, 2010, 27 (3) : 907917. doi: 10.3934/dcds.2010.27.907 
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Samir K. Bhowmik, Dugald B. Duncan, Michael Grinfeld, Gabriel J. Lord. Finite to infinite steady state solutions, bifurcations of an integrodifferential equation. Discrete & Continuous Dynamical Systems  B, 2011, 16 (1) : 5771. doi: 10.3934/dcdsb.2011.16.57 
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Linghai Zhang. Wave speed analysis of traveling wave fronts in delayed synaptically coupled neuronal networks. Discrete & Continuous Dynamical Systems  A, 2014, 34 (5) : 24052450. doi: 10.3934/dcds.2014.34.2405 
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Michel Chipot, Senoussi Guesmia. On a class of integrodifferential problems. Communications on Pure & Applied Analysis, 2010, 9 (5) : 12491262. doi: 10.3934/cpaa.2010.9.1249 
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Saulo R.M. Barros, Antônio L. Pereira, Cláudio Possani, Adilson Simonis. Spatially periodic equilibria for a non local evolution equation. Discrete & Continuous Dynamical Systems  A, 2003, 9 (4) : 937948. doi: 10.3934/dcds.2003.9.937 
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Kaïs Ammari, Thomas Duyckaerts, Armen Shirikyan. Local feedback stabilisation to a nonstationary solution for a damped nonlinear wave equation. Mathematical Control & Related Fields, 2016, 6 (1) : 125. doi: 10.3934/mcrf.2016.6.1 
[18] 
ThanhAnh Nguyen, DinhKe Tran, NhuQuan Nguyen. Weak stability for integrodifferential inclusions of diffusionwave type involving infinite delays. Discrete & Continuous Dynamical Systems  B, 2016, 21 (10) : 36373654. doi: 10.3934/dcdsb.2016114 
[19] 
Zhiming Guo, ZhiChun Yang, Xingfu Zou. Existence and uniqueness of positive solution to a nonlocal differential equation with homogeneous Dirichlet boundary conditionA nonmonotone case. Communications on Pure & Applied Analysis, 2012, 11 (5) : 18251838. doi: 10.3934/cpaa.2012.11.1825 
[20] 
Zhenguo Bai, Tingting Zhao. Spreading speed and traveling waves for a nonlocal delayed reactiondiffusion system without quasimonotonicity. Discrete & Continuous Dynamical Systems  B, 2018, 23 (10) : 40634085. doi: 10.3934/dcdsb.2018126 
2018 Impact Factor: 1.313
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