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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/32574
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dc.contributor.advisor符聖珍zh_TW
dc.contributor.author王宏嘉zh_TW
dc.contributor.authorWang,Hong-Jiaen_US
dc.creator王宏嘉zh_TW
dc.creatorWang,Hong-Jiaen_US
dc.date2006en_US
dc.date.accessioned2009-09-17T05:46:37Z-
dc.date.available2009-09-17T05:46:37Z-
dc.date.issued2009-09-17T05:46:37Z-
dc.identifierG0093751002en_US
dc.identifier.urihttps://nccur.lib.nccu.edu.tw/handle/140.119/32574-
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.description93751002zh_TW
dc.description95zh_TW
dc.description.abstract這篇文章中，我們探討離散型反應擴散方程u_t(x,t)=u(x+1,t)-2u(x,t)+u(x-1,t)+f(u(x,t))，其中\n反應項f(u)=u^2(1-u)。在此，\n我們證明此方程式存在一種全解其動態行為宛如兩個來自x軸兩端相向而行的行波。zh_TW
dc.description.abstractThis paper deals with a discrete reaction-diffusion equation\nu_t(x,t)=u(x+1,t)-2u(x,t)+u(x-1,t)+f(u(x,t)),\nwhere f(u)=u^2(1-u). Here, we prove there exist entire solutions which behave as two\ntraveling waves coming from both sides of x-axis.en_US
dc.description.tableofcontentsContents \nAbstract i\n中文摘要 ii\n1 Introduction . . . . . . . . . . . . . . . . . . . . . .1 \n2 Entire solutions for discrete reaction-diffusion equations. . . . . . . . . . . . . . . . . . . . . .4\n2.1 Preliminaries. . . . . . . . . . . . . . . . . . . . . .4\n2.2 Existence of entire solutions. . . . . . . . . . . . . . . . . . . . . .5\nReferences. . . . . . . . . . . . . . . . . . . . . .14zh_TW
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dc.format.extent20232 bytes-
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dc.format.mimetypeapplication/pdf-
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dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0093751002en_US
dc.subject離散型反應擴散方程zh_TW
dc.subject全解zh_TW
dc.subjectdiscrete reaction-diffusion equationen_US
dc.subjectentire solutionen_US
dc.title離散型反應擴散方程的全解zh_TW
dc.titleEntire Solutions for Discrete Reaction-Diffusion Equationsen_US
dc.typethesisen
dc.relation.reference[1] X. Chen and J.-S. Guo, Existence and asymptotic stability of traveling waveszh_TW
dc.relation.referenceof discrete quasilinear monostable equations, Journal of Differential Equationszh_TW
dc.relation.reference184 (2002), 549-569.zh_TW
dc.relation.reference[2] X. Chen and J.-S. Guo, Uniqueness and existence of traveling waves for discretezh_TW
dc.relation.referencequasilinear monostable dynamics, Mathematische Annalen 326 (2003), 123-146.zh_TW
dc.relation.reference[3] X. Chen, S.-C. Fu and J.-S. Guo, Uniqueness and asymptotics of traveling waveszh_TW
dc.relation.referenceof monostable dynamics on lattices, SIAM Journal on Mathematical Analysiszh_TW
dc.relation.reference38 (2006), 233-258.zh_TW
dc.relation.reference[4] R.A Fisher, The advance of adavantageous genes, Annals Eugenics 7 (1937),zh_TW
dc.relation.reference355-369.zh_TW
dc.relation.reference[5] J.-S. Guo and Y. Morita, Entire solutions of reaction-diffusion equations and anzh_TW
dc.relation.referenceapplication to discrete diffusive equations, Discrete and Continuous Dynamicalzh_TW
dc.relation.referenceSystems 12 (2005), 193-212.zh_TW
dc.relation.reference[6] A. Kolmogorov, I. Petrovsky, and N. Piskunov, Etude de l’´equation de la diffusionzh_TW
dc.relation.referenceavec croissance de la quantit´e de mati´ere et son application ´a un probl´emezh_TW
dc.relation.referencebiologique, Bulletin Universite d’Etat a Moscow Series Internationale Sectionzh_TW
dc.relation.referenceA 1 (1937), 1-26.zh_TW
item.grantfulltextopen-
item.openairecristypehttp://purl.org/coar/resource_type/c_46ec-
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item.cerifentitytypePublications-
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item.languageiso639-1en_US-
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