Traveling waves for nonlinear cellular neural networks with distributed delays

DOI10.1016/J.JDE.2011.05.008zbMath1228.34122OpenAlexW1991501999MaRDI QIDQ549233

Cheng-Hsiung Hsu, Rong Yuan, Qin Jiang, Zhi-Xian Yu

Publication date: 7 July 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.05.008

zbMATH Keywords

Schauder's fixed point theoremcellular neural networkstraveling waves

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Applications of operator theory to differential and integral equations (47N20) Boundary value problems for functional-differential equations (34K10) Traveling wave solutions (35C07) Lattice functional-differential equations (34K31)

Related Items (10)

Stability of traveling waves solutions for nonlinear cellular neural networks with distributed delays ⋮ Novel traveling waves solutions for nonlinear delayed dynamical neural networks with leakage term ⋮ Entire solutions of non-quasi-monotone delayed reaction—diffusion equations with applications ⋮ Propagation phenomena for CNNs with asymmetric templates and distributed delays ⋮ Uniqueness and stability of traveling waves for cellular neural networks with multiple delays ⋮ Qualitative properties of traveling waves for nonlinear cellular neural networks with distributed delays ⋮ Traveling waves of a nonlocal dispersal delayed age-structured population model ⋮ Spatial dynamics of multilayer cellular neural networks ⋮ Traveling waves for delayed cellular neural networks with nonmonotonic output functions ⋮ Stability of traveling wave solutions for nonlinear cellular neural networks with distributed delays

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