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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/32555
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dc.contributor.advisor李明融zh_TW
dc.contributor.author林修竹zh_TW
dc.creator林修竹zh_TW
dc.date2003en_US
dc.date.accessioned2009-09-17T05:44:31Z-
dc.date.available2009-09-17T05:44:31Z-
dc.date.issued2009-09-17T05:44:31Z-
dc.identifierG0088751012en_US
dc.identifier.urihttps://nccur.lib.nccu.edu.tw/handle/140.119/32555-
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.description88751012zh_TW
dc.description92zh_TW
dc.description.abstract在這一篇論文中我們討論的是下列這個非線性初值問題：\n u``(t)=u`(t)^q(c_1+c_2u(t)^p)\n u(0) = u_0; u`(0) = u_1:\n我們關注於上述問題正解的一些性質。我們發現了一些爆破(Blow-up)現象，並獲得一些結果，有關爆破率(Blow-up rate)、爆破常數(Blow-up constant)以及爆破時間(Blow-up time)。zh_TW
dc.description.abstractIn this paper we study the following initial value problem for the nonlinear equation,\n u``(t)=u`(t)^q(c_1+c_2u(t)^p)\n u(0) = u_0; u`(0) = u_1:\nWe are interested in properties of positive solutions of the above problem.We have found blow-up phenomena and obtained some results on blowup rates, blow-up constants and life-spans.en_US
dc.description.tableofcontentsAbstract ………………………………………………………………………1\n中文摘要 ………………………………………………………………………2\n1 Introduction ………………………………………………………………1\n2 Existence and Uniqueness of Solution ………………………………3\n 2.1 Existence of solution………………………………………………3\n 2.2 Uniqueness of solution ……………………………………………6\n3 Blow-up Phenomena…………………………………………………………8\n 3.1 Blow-up Phenomena of u……………………………………………12\n 3.2 Blow-up Phenomena of u` …………………………………………18\n 3.3 Blow-up Phenomena of u``…………………………………………20\n4 Estimations for the Life-Spans………………………………………23\n5 Conclusion…………………………………………………………………29\n 5.1 Tables of Results …………………………………………………29\n 5.2 Properties of Bloe-up Rates and Blow-up Constants of u…30\nAppendices……………………………………………………………………31\nReferences……………………………………………………………………33zh_TW
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dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0088751012en_US
dc.subjectblow upen_US
dc.subjectlife-spanen_US
dc.title有非線性干擾的二階微分方程zh_TW
dc.typethesisen
dc.relation.referenceMeng-Rong Li, On the Differential Equation u``-u^p=0, Preprint, National Chengchi University, 1999.zh_TW
dc.relation.referenceI-Chen Chen, Some Studies in Differential Equation}, Preprint, National Chengchi University, 1999.zh_TW
dc.relation.referenceC.Corduneanu, Principle of Differential and Integral Equations, Allyn and Bacon,Inc., Boston, 1971.zh_TW
dc.relation.referenceD.W. Jordan and P.Smith, Nonlinear Ordinary Differential Equations, Clarendon Press, Oxford, 1977.zh_TW
item.languageiso639-1en_US-
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