Invariant regions and global existence of solutions for reaction-diffusion systems with a tridiagonal matrix of diffusion coefficients and nonhomogeneous boundary conditions

DOI10.1155/2007/12375zbMath1166.35338OpenAlexW2017013052MaRDI QIDQ2472057

Abdelmalek Salem

Publication date: 20 February 2008

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55801

zbMATH Keywords

polynomial growththree equationsLyapunov functional methods

Mathematics Subject Classification ID

Related Items (7)

LMI approach to exponential stability and almost sure exponential stability for stochastic fuzzy Markovian-jumping Cohen-Grossberg neural networks with nonlinear \(p\)-Laplace diffusion ⋮ Delay-dependent exponential stability for Markovian jumping stochastic Cohen-Grossberg neural networks with \(p\)-Laplace diffusion and partially known transition rates via a differential inequality ⋮ Invariant regions and existence of global solutions to a generalized m-component reaction-diffusion system with tridiagonal symmetric Toeplitz diffusion matrix ⋮ LMI approach to stability analysis of Cohen-Grossberg neural networks with \(p\)-Laplace diffusion ⋮ Unnamed Item ⋮ Global existence of solutions for an \(m\)-component cross-diffusion system with a 3-component case study ⋮ Delay-dependent exponential stability for nonlinear reaction-diffusion uncertain Cohen-Grossberg neural networks with partially known transition rates via Hardy-Poincaré inequality

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Global existence of solutions for reaction-diffusion systems with a full matrix of diffusion coefficients and nonhomogeneous boundary conditions
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