Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/63768
題名: 離散型動態系統的行進波解的存在性
Existence of Traveling Wave Solutions for Discrete Dynamical Systems
作者: 鄭岱暘
貢獻者: 符聖珍
鄭岱暘
關鍵詞: 離散型動態系統
行進波解
Discrete Dynamical Systems
Traveling Wave
日期: 2014
上傳時間: 10-Feb-2014
摘要: 證明當0<k<1<h或0<h<1<k時,存在一個正的常數cmin使得格子動態系統中有行進波解若且唯若c>=cmin。
We show\nthat if 0 < k < 1 < h or 0 < h < 1 < k then there exists a positive constant cmin\nsuch that the LDS admits a traveling wave solution if and only if c >= cmin.
參考文獻: [1] Y. Hosono, The minimal speed of traveling fronts for a diffusive Lokta-Volterra\ncompetition model, Bulletin of Math. Biology 60 (1998), 435-448.\n[2] Y. Kan-on, Instability of stationary solutions for Lokta-Volterra competition\nmodel with diffusion, J. Math. Anal. Appl. 208 (1997), 158-170.\n[3] C. Conley, R. Gardner, An application of generalized Morse index to traveling\nwave solutions of a competitive reaction diffusion model, Indiana Univ. math.\nJ.33 (1984) 319-343.\n[4] R.A. Gardner, Existence and stability of traveling wave solutions of competi-\ntion models: a degree theoretic, J. Differential Equations 44 (1982), 343-362.\n[5] M.M. Tang. P.C. Fife, Propagating fronts for competing species equations with\ndiffusion, Arch. Ration. Mech. Anal. 73 (1980) 69-77.\n[6] J.-S. Guo, C.-H. Wu, Traveling wave front for a two-component lattice dynam-\nical system arising in competition models, J. Diff. Eqns 252 (2012) 4357-4391.
描述: 碩士
國立政治大學
應用數學研究所
100751003
103
資料來源: http://thesis.lib.nccu.edu.tw/record/#G0100751003
資料類型: thesis
Appears in Collections:學位論文

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