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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/63768
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dc.contributor.advisor符聖珍zh_TW
dc.contributor.author鄭岱暘zh_TW
dc.creator鄭岱暘zh_TW
dc.date2014en_US
dc.date.accessioned2014-02-10T08:46:49Z-
dc.date.available2014-02-10T08:46:49Z-
dc.date.issued2014-02-10T08:46:49Z-
dc.identifierG0100751003en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/63768-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學研究所zh_TW
dc.description100751003zh_TW
dc.description103zh_TW
dc.description.abstract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。zh_TW
dc.description.abstractWe 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.en_US
dc.description.tableofcontents謝辭 i\n摘要 ii\nAbstract iii\nContents iv\n1 Introduction 1\n2 Basic Properties and The Monotone Operators 4\n2.1 The Property of Traveling Wave Solution . . . . . . . . . . . . . . 4\n2.2 The Monotone Operators . . . . . . . . . . . . . . . . . . . . . . . 6\n3 A Truncation Problem 8\n4 Proof of Theorem 2.1 14\n4.1 Super-solution and Its Role . . . . . . . . . . . . . . . . . . . . . 14\n4.2 Proof of Theorem 2.1 . . . . . . . . . . . . . . . . . . . . . . . . . 18\nBibliography 19zh_TW
dc.format.extent99198 bytes-
dc.format.extent547911 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/pdf-
dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0100751003en_US
dc.subject離散型動態系統zh_TW
dc.subject行進波解zh_TW
dc.subjectDiscrete Dynamical Systemsen_US
dc.subjectTraveling Waveen_US
dc.title離散型動態系統的行進波解的存在性zh_TW
dc.titleExistence of Traveling Wave Solutions for Discrete Dynamical Systemsen_US
dc.typethesisen
dc.relation.reference[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.zh_TW
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item.openairecristypehttp://purl.org/coar/resource_type/c_46ec-
item.languageiso639-1en_US-
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