淡江大學機構典藏:Item 987654321/53526
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    題名: Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type
    作者: Hsu, Cheng-Hsiung;Yang, Ting-Hui
    貢獻者: 淡江大學數學學系
    關鍵詞: Traveling Wave Solution;Delayed Lattice Differential Equations;Upper And Lower Solutions;Heteroclinic Solutions
    日期: 2010-07
    上傳時間: 2011-05-20 09:41:28 (UTC+8)
    出版者: Springfield: American Institute of Mathematical Sciences
    摘要: In this work we consider the existence of traveling plane wave solutions of systems of delayed lattice differential equations in competitive Lotka-Volterra type. Employing iterative method coupled with the explicit construction of upper and lower solutions in the theory of weak quasi-monotone dynamical systems, we obtain a speed, c *, and show the existence of traveling plane wave solutions connecting two different equilibria when the wave speeds are large than c *.
    關聯: Discrete and Continuous Dynamical Systems Series B 14(1), pp.111-128
    DOI: 10.3934/dcdsb.2010.14.111
    顯示於類別:[數學學系暨研究所] 期刊論文

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