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Existence of Traveling Waves in Lattice Dynamical Systems

Existence of Traveling Waves in Lattice Dynamical Systems
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摘要 Existence of traveling wave solutions for some lattice differential equations is investigated. We prove that there exists  c<sub>*</sub>>0 such that for each c≥c*</sub>, the systems under consideration admit monotonic nondecreasing traveling waves. Existence of traveling wave solutions for some lattice differential equations is investigated. We prove that there exists  c<sub>*</sub>>0 such that for each c≥c*</sub>, the systems under consideration admit monotonic nondecreasing traveling waves.
作者 Xiaojun Li Yong Jiang Ziming Du Xiaojun Li;Yong Jiang;Ziming Du(School of Science, Hohai University, Nanjing, China)
机构地区 School of Science
出处 《Journal of Applied Mathematics and Physics》 2016年第7期1231-1236,共6页 应用数学与应用物理(英文)
关键词 Traveling Wave Lattice Dynamical Systems Schauder’s Fixed Point Theorem Traveling Wave Lattice Dynamical Systems Schauder’s Fixed Point Theorem

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