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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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File | Description | Size | Format | |
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100301.pdf | 96.87 kB | Adobe PDF2 | View/Open | |
100302.pdf | 535.07 kB | Adobe PDF2 | View/Open |
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