Existence of travelling waves in a lattice dynamical system

DOI10.1016/J.AMC.2003.09.010zbMath1067.34065OpenAlexW1978012096MaRDI QIDQ702562

Wei Ding

Publication date: 17 January 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.09.010

zbMATH Keywords

Schauder's fixed point theoremQuasimonotoneUpper-lower solution

Mathematics Subject Classification ID

Ordinary differential equations of infinite order (34A35) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Boundary value problems for functional-differential equations (34K10)

Cites Work

• Traveling wavefronts for the discrete Fisher's equation
• Existence of traveling wavefront solutions for the discrete Nagumo equation
• Traveling wave solutions for some discrete quasilinear parabolic equations
• Asymptotic and periodic boundary value problems of mixed FDEs and wave solutions of lattice differential equations
• Existence and multiplicity of traveling waves in a lattice dynamical system
• Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem

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