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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/110835
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dc.contributor.advisor李明融zh_TW
dc.contributor.author陳盈潤zh_TW
dc.creator陳盈潤zh_TW
dc.date2017en_US
dc.date.accessioned2017-07-11T03:56:03Z-
dc.date.available2017-07-11T03:56:03Z-
dc.date.issued2017-07-11T03:56:03Z-
dc.identifierG1027510151en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/110835-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學系zh_TW
dc.description102751015zh_TW
dc.description.abstract在這篇論文,我們考慮半線性微分方程式的初始邊界值問題之解u,的存在性,唯一性,和他的行為.\r\n(i) t^{-sigma}u``(t)=r_1u(t)^p+r_2u(t)^p(u`(t))^2, u(1)=u_0,u`(1)=u_1,\r\n其中 p>1 為常數.\r\n對t≥1,sigma>0,p>1 為偶數,r_1>0,r_2>0,u_0>0,u_1>0.\r\n我們得到以下的結果.zh_TW
dc.description.abstract1 Introduction 1\r\n2 Fundamental lemma 4\r\n2.1 Fundamental lemma 4\r\n3 Some Solution Representations 7\r\n3.1 Representation for v_s 7\r\n3.2 Representation for v 8\r\n4 Main Result 10\r\n4.1 Estimate for v under unboundedness of the equation(2.1.3) when sigma>0, p>1 is even 10\r\n5 Conclusion 16 \r\nBibliography 17-
dc.description.tableofcontents1 Introduction 1\r\n2 Fundamental lemma 4\r\n 2.1 Fundamental lemma 4\r\n3 Some Solution Representations 7\r\n 3.1 Representation for v_s 7\r\n 3.2 Representation for v 8\r\n4 Main Result 10\r\n 4.1 Estimate for v under unboundedness of the equation(2.1.3) when sigma>0, p>1 is even 10\r\n5 Conclusion 16 \r\nBibliography 17zh_TW
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G1027510151en_US
dc.subject解的爆炸時間zh_TW
dc.subject解的最大存在時間zh_TW
dc.subjectEmden-Fowler方程式zh_TW
dc.subjectBlow up time for solutionen_US
dc.subjectThe lift-span for solutionen_US
dc.subjectEmden-Fowler equationen_US
dc.title二階非線性微分方程解的行為zh_TW
dc.titleOn the behavior of solution for non-linear differential equationen_US
dc.typethesisen_US
dc.relation.reference[1]Meng-Rong Li On the Emden-Fowler equation u``-|u|^{p-1}u=0 Nonlinear Analysis 2006 vol.64 pp.1025-1056\r\n[2]Meng-Rong Li.BLOW-UP RESULTS AND ASYMPTOTIC BEHAVIOR OF THE EMDEN-FOWLER EQUATION u``= |u|^{p} Acta Math.Sci., 2007 vol.4 pp.703-734\r\n[3]Meng-Rong Li. ON THE EMDEN-FOWLER EQUATION u``(t)u(t)=c_1+c_2(u`(t))^2 when c_1≥0, c_2≥0 Acta Math.Sci., 2010 vol.30 4 pp.1227-1234\r\n[4]Meng-Rong Li.ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS OF THE NONLINEAR DIFFERENTIAL EQUATION t^2u\" = u^nElectronic Journal of Differential Equations,2013 vol.2013 No.250 pp.1-9.\r\n[5]Meng-Rong Li. NONEXISTENCE OF GLOBAL SOLUTIONS OF EMDEN-FLOWER TYPE SEMILINEAR WAVE EQUATIONS WITH NON-POSITIVE ENERGY Electronic Journal of Differential Equations, 2016 vol.2016 No.93 pp.1-10.\r\n[6]Meng-Rong Li. BLOW-UP SOLUTIONS TO THE NONLINEAR SECOND ORDER DIFFERENTIAL EQUATION u``(t)=u(t)^p(c_1+c_2u`(t)^q) (I) Acta Math.Sci., June 2008 vol.12 3 pp.599-621\r\n[7]Meng-Rong Li and Yueloong Chang.A MATHEMATICAL MODEL OF ENTERPRISE COMPETITIVE ABILITY AND PERFORMANCE THROUGH EMDEN-FOWLER EQUATION FOR SOME ENTERPRISES Acta Math.Sci.,2015 vol.35 5 pp.1014-1022\r\n[8]Meng-Rong Li and Pai Jente. QUENCHING PROBLEM IN SOME SEMILINEAR WAVE EQUATIONS Acta Math.Sci., 2008 vol.28 3 pp.523-529\r\n[9]Meng-Rong Li and Tzong-Hann Shieh. Numeric treatment of contact discontinuity with multi-gases Journal of Computational and Applied Mathematics 2009 vol.2009 pp.656–673\r\n[10]Corey-Stevenson Powell. J.HOMER LANE AND THE INTERNAL STRUCTURE OF THE SUN JHA 1988 xixzh_TW
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