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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/81031
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/81031


    Title: UNIQUENESS AND ASYMPTOTICS OF TRAVELING WAVES OF MONOSTABLE DYNAMICS ON LATTICES
    Authors: Fu, Sheng-Chen
    符聖珍
    Guo, Jong-Shenq
    Chen, Xinfu
    Contributors: 應數系
    Keywords: degenerate;lattice dynamics;monostable;traveling wave
    Date: 2006
    Issue Date: 2016-02-01 16:07:02 (UTC+8)
    Abstract: Established here is the uniquenes of solutions for the traveling wave problem cU′(x) = U(x+1)+U(x-1)-2U(x)+f(U(x)), x ∈ ℝ, under the monostable nonlinearity: f ∈ C¹ ([0, 1]), f(0) = f(1) = 0 < f(s) ∀ s ∈ (0, 1). Asymptotic expansions for U(x) as x → ∞, accurate enough to capture the translation differences, are also derived and rigorously verified. These results complement earlier existence and partial uniqueness/stability results in the literature. New tools are also developed to deal with the degenerate case f′(0)f′(1) = 0, about which is the main concern of this article.
    Relation: SIAM Journal on Mathematical Analysis, 38(1), 233-258
    Data Type: article
    DOI 連結: http://dx.doi.org/10.1137/050627824
    DOI: 10.1137/050627824
    Appears in Collections:[應用數學系] 期刊論文

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