Results 1 to 10 of about 636,192 (242)
Dynamic behaviors for inertial neural networks with reaction-diffusion terms and distributed delays
Advances in Difference Equations, 2021 A class of inertial neural networks (INNs) with reaction-diffusion terms and distributed delays is studied. The existence and uniqueness of the equilibrium point for the considered system is obtained by topological degree theory, and a sufficient ...
Famei Zheng
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Fractal-fractional advection–diffusion–reaction equations by Ritz approximation approach
Open Physics, 2023 In this work, we propose the Ritz approximation approach with a satisfier function to solve fractal-fractional advection–diffusion–reaction equations. The approach reduces fractal-fractional advection–diffusion–reaction equations to a system of algebraic
Md Nasrudin Farah Suraya +2 more
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Blow-Up Phenomena in Reaction-Diffusion Problems with Nonlocal and Gradient Terms
Discrete Dynamics in Nature and Society, 2022 This paper considers the blow-up phenomena for the following reaction-diffusion problem with nonlocal and gradient terms: ut=Δum+∫Ωurdx−∇us,in Ω×0,t∗,∂u/∂ν=gu,on ∂Ω ×0,t∗,ux,0=u0x≥0,in Ω¯.
Xuhui Shen, Dandan Wu
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Exponential stability for delayed complex-valued neural networks with reaction-diffusion terms
Advances in Difference Equations, 2021 In this study, we investigate reaction-diffusion complex-valued neural networks with mixed delays. The mixed delays include both time-varying and infinite distributed delays.
Xiaohui Xu +4 more
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General decay synchronization of delayed BAM neural networks with reaction–diffusion terms
Advances in Difference Equations, 2020 In this paper, general decay synchronization of delayed bidirectional associative memory neural networks with reaction–diffusion terms is studied. First, a useful lemma is introduced to determine the general decay synchronization of considered systems ...
Rouzimaimaiti Mahemuti +2 more
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Quenching for a Reaction-Diffusion System with Coupled Inner Singular Absorption Terms
Boundary Value Problems, 2010 we devote to investigate the quenching phenomenon for a reaction-diffusion system with coupled singular absorption terms, , . The solutions of the system quenches in finite time for any initial data are obtained, and the blow-up of time derivatives at
Zhou Shouming, Mu Chunlai
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Boundary Value Problems, 2021 We study positive solutions to steady-state reaction–diffusion models of the form { − Δ u = λ f ( v ) ; Ω , − Δ v = λ g ( u ) ; Ω , ∂ u ∂ η + λ u = 0 ; ∂ Ω , ∂ v ∂ η + λ v = 0 ; ∂ Ω , $$ \textstyle\begin{cases} -\Delta u=\lambda f(v);\quad\Omega ...
A. Acharya, N. Fonseka, R. Shivaji
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Mathematics, 2023 In this paper, the global asymptotic stability and global Mittag–Leffler stability of a class of fractional-order fuzzy bidirectional associative memory (BAM) neural networks with distributed delays is investigated.
M. Syed Ali +5 more
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Fractal and Fractional, 2023 In recent years, cellular neural networks (CNNs) have become a popular apparatus for simulations in neuroscience, biology, medicine, computer sciences and engineering.
Gani Stamov, Ivanka Stamova
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Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms [PDF]
, 2017 In this work we study a system of parabolic reaction-diffusion equations which are coupled not only through the reaction terms but also by way of nonlocal diffusivity functions.
de Oliveira, Hermenegildo Borges +1 more
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