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Numerical methods for evolutionary reaction–diffusion problems with nonlinear reaction terms
Journal of Computational and Applied Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jorge, J.C., Bujanda, B.
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Fractal and Fractional, 2023 The paper is oriented on the existence of almost periodic solutions of factional-order impulsive delayed reaction-diffusion gene regulatory networks. Caputo type fractional-order derivatives and impulsive disturbances at not fixed instants of time are ...
Trayan Stamov +2 more
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Robust Passivity of Coupled Cohen-Grossberg Neural Networks with Reaction-Diffusion Terms [PDF]
2019 25th International Conference on Automation and Computing (ICAC), 2019 In this paper, we deal with the robust passivity problem for coupled reaction-diffusion Cohen-Grossberg neural networks (CRDCGNNs) with spatial diffusion coupling and state coupling. First, we present the network model for CRDCGNNs with state coupling and establish some robust passivity conditions for this kind of CRDCGNNs.
Huang, Yanli, Wang, Jianming, Yang, Erfu
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Blow-up Phenomena for a Reaction-diffusion Equation with Nonlocal Gradient Terms
Taiwanese Journal of Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi, Su-Cheol, Fang, Zhong Bo
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On quasilinear parabolic evolution equations in weighted Lp-spaces II [PDF]
, 2013 Our study of abstract quasi-linear parabolic problems in time-weighted L_p-spaces, begun in [17], is extended in this paper to include singular lower order terms, while keeping low initial regularity.
D. Bothe +6 more
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Nonlinear Analysis, 2016 In this paper, the synchronization problem for a class of generalized neural networks with interval time-varying delays and reaction-diffusion terms is investigated under Dirichlet boundary conditions and Neumann boundary conditions, respectively.
Qintao Gan +3 more
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Sufficient conditions for wave instability in three-component reaction-diffusion systems [PDF]
, 2013 Sufficient conditions for the wave instability in general three-component reaction-diffusion systems are derived. These conditions are expressed in terms of the Jacobian matrix of the uniform steady state of the system, and enable us to determine whether
Hata, Shigefumi +2 more
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Mathematics, 2019 In this paper, a class of fractional complex networks with impulses and reaction−diffusion terms is introduced and studied. Meanwhile, a class of more general network structures is considered, which consists of an instant communication topology and
Xudong Hai +3 more
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, 2015 We consider solvability of the generalized reaction-diffusion equation with both space- and time-dependent diffusion and reaction terms by means of the similarity method.
Ho, C. -L., Lee, C. -C.
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Time Fractional Fisher–KPP and Fitzhugh–Nagumo Equations
Entropy, 2020 A standard reaction–diffusion equation consists of two additive terms, a diffusion term and a reaction rate term. The latter term is obtained directly from a reaction rate equation which is itself derived from known reaction kinetics, together with ...
Christopher N. Angstmann, Bruce I. Henry
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