Hopf bifurcation in a reaction–diffusion equation with distributed delay and Dirichlet boundary condition

Journal of Differential Equations ◽

10.1016/j.jde.2017.07.024 ◽

2017 ◽

Vol 263 (10) ◽

pp. 6537-6575 ◽

Author(s):

Qingyan Shi ◽

Junping Shi ◽

Yongli Song

Keyword(s):

Boundary Condition ◽

Hopf Bifurcation ◽

Diffusion Equation ◽

Dirichlet Boundary Condition ◽

Dirichlet Boundary ◽

Distributed Delay ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Stability and Bifurcation in a Delayed Reaction–Diffusion Equation with Dirichlet Boundary Condition

Journal of Nonlinear Science ◽

10.1007/s00332-016-9285-x ◽

2016 ◽

Vol 26 (2) ◽

pp. 545-580 ◽

Author(s):

Shangjiang Guo ◽

Li Ma

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Dirichlet Boundary Condition ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Delayed Reaction ◽

Stability And Bifurcation

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Stability Analysis of a Reaction–Diffusion Equation with Spatiotemporal Delay and Dirichlet Boundary Condition

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-014-9384-z ◽

2014 ◽

Vol 28 (3-4) ◽

pp. 857-866 ◽

Author(s):

Shanshan Chen ◽

Jianshe Yu

Keyword(s):

Boundary Condition ◽

Stability Analysis ◽

Diffusion Equation ◽

Dirichlet Boundary Condition ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Spatiotemporal Delay

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The Existence of a Boundary-Layer Stationary Solution to a Reaction–Diffusion Equation with Singularly Perturbed Neumann Boundary Condition

Moscow University Physics Bulletin ◽

10.3103/s0027134920050185 ◽

2020 ◽

Vol 75 (5) ◽

pp. 409-414

Author(s):

N. N. Nefedov ◽

N. N. Deryugina

Keyword(s):

Boundary Layer ◽

Boundary Condition ◽

Diffusion Equation ◽

Stationary Solution ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation

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Layered stable equilibria of a reaction–diffusion equation with nonlinear Neumann boundary condition

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.06.001 ◽

2008 ◽

Vol 347 (1) ◽

pp. 123-135 ◽

Author(s):

Arnaldo Simal do Nascimento ◽

Renato José de Moura

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Stable Equilibria

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A high-order ADI finite difference scheme for a 3D reaction-diffusion equation with neumann boundary condition

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21726 ◽

2012 ◽

Vol 29 (3) ◽

pp. 778-798 ◽

Author(s):

Wenyuan Liao

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition

Boundary Value Problems ◽

10.1186/s13661-018-1069-9 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Jian Wang ◽

Hui Yang

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Nonlinear Absorption ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Asymptotic behavior of solutions of a reaction–diffusion equation with inhomogeneous Robin boundary condition and free boundary condition

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2015.07.019 ◽

2016 ◽

Vol 28 ◽

pp. 126-139

Author(s):

Xiaowei Liu ◽

Jin Zhang

Keyword(s):

Boundary Condition ◽

Asymptotic Behavior ◽

Free Boundary ◽

Diffusion Equation ◽

Reaction Diffusion ◽

Robin Boundary Condition ◽

Free Boundary Condition ◽

Reaction Diffusion Equation ◽

Asymptotic Behavior Of Solutions ◽

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Global-in-time behavior of weak solutions to reaction–diffusion systems with inhomogeneous Dirichlet boundary condition

Nonlinear Analysis ◽

10.1016/j.na.2017.01.013 ◽

2017 ◽

Vol 159 ◽

pp. 393-407 ◽

Author(s):

Michel Pierre ◽

Takashi Suzuki ◽

Haruki Umakoshi

Keyword(s):

Boundary Condition ◽

Weak Solutions ◽

Dirichlet Boundary Condition ◽

Dirichlet Boundary ◽

Reaction Diffusion ◽

Time Behavior ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Existence and Nonexistence of Solutions of the Reaction-Diffusion Equation with Robin Boundary Condition

Ukrainian Mathematical Journal ◽

10.1007/s11253-016-1235-0 ◽

2016 ◽

Vol 68 (3) ◽

pp. 475-484 ◽

Author(s):

E. Öztürk ◽

K. Kallı

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Reaction Diffusion ◽

Robin Boundary Condition ◽

Reaction Diffusion Equation ◽

Existence And Nonexistence ◽

Nonexistence Of Solutions ◽

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A Hopf bifurcation for a reaction-diffusion equation with concentrated chemical kinetics

Journal of Differential Equations ◽

10.1016/0022-0396(85)90099-3 ◽

1985 ◽

Vol 56 (1) ◽

pp. 40-62 ◽

Author(s):

Victor Roytburd

Keyword(s):

Hopf Bifurcation ◽

Diffusion Equation ◽

Chemical Kinetics ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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