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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/51309
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dc.contributor.advisor符聖珍zh_TW
dc.contributor.author陳家盛zh_TW
dc.contributor.authorChen, Chia Shengen_US
dc.creator陳家盛zh_TW
dc.creatorChen, Chia Shengen_US
dc.date2010en_US
dc.date.accessioned2011-10-05T06:39:37Z-
dc.date.available2011-10-05T06:39:37Z-
dc.date.issued2011-10-05T06:39:37Z-
dc.identifierG0097751014en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/51309-
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.description97751014zh_TW
dc.description99zh_TW
dc.description.abstract在這篇論文裡，我們要討論的是在多維度的時間刻度下橢圓型動態算子和拋物型動態算子的極大值定理，並藉此得到一些應用。事實上，我們是將微分方程及差分方程裡的極大值定理推廣至所謂的動態方程中。zh_TW
dc.description.abstractIn this thesis, we establish the maximum principles for the elliptic dynamic operators and parabolic dynamic operators on multi-dimensional time scales, and apply it to obtain some applications. Indeed, we extend the maximum principles on differential equations and difference equations to the so-called dynamic equations.en_US
dc.description.tableofcontentsContents\n謝辭 i\nAbstract iii\n中文摘要 iv\n1 Introduction 1\n2 Preliminary 2\n3 Maximum principles for the elliptic dynamic operators 8\n4 Maximum principles for the parabolic dynamic operators 13\nReferences 21zh_TW
dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0097751014en_US
dc.subject時間刻度zh_TW
dc.subject動態算子zh_TW
dc.subject極大值定理zh_TW
dc.title時間刻度下偏動態算子的極大值定理zh_TW
dc.titleThe maximum principles for the partial dynamic operators on time scalesen_US
dc.typethesisen
dc.relation.reference[1]M. Protter, H. Weinberger,Maximum Principles inzh_TW
dc.relation.referenceDifferential Equations,Prentice-Hall, New Jersey, (1967).zh_TW
dc.relation.reference[2]H. Kuo, N. Trudinger,On the discrete maximum principlezh_TW
dc.relation.referencefor parabolic difference operators,Math. Model. Numer.zh_TW
dc.relation.referenceAnal. 27 (1993) 719-737.zh_TW
dc.relation.reference[3]G. David, N.S. Trudinger,Elliptic partial differentialzh_TW
dc.relation.referenceequations of second order,Berlin, New York: Springer-zh_TW
dc.relation.referenceVerlag, (1977).zh_TW
dc.relation.reference[4]P. Stehlik, B. Thompson,Maximum principles for secondzh_TW
dc.relation.referenceorder dynamic equations on time scales,J. Math. Anal.zh_TW
dc.relation.referenceAppl. 331 (2007) 913-926.zh_TW
dc.relation.reference[5]P. Stehlik,Maximum principles for elliptic dynamiczh_TW
dc.relation.referenceequations,Mathematical and Computer Modelling 51 (2010)zh_TW
dc.relation.reference1193-1201.zh_TW
dc.relation.reference[6]R.P. Agarwal and M. Bohner,Basic calculus on time scaleszh_TW
dc.relation.referenceand some of its applications,Results Math. 35 (1999) 3-zh_TW
dc.relation.reference22.zh_TW
dc.relation.reference[7]M. Bohner and A. Peterson,Dynamic Equation on Timezh_TW
dc.relation.referenceScales, An Introduction with Application,Birkhauser,zh_TW
dc.relation.referenceBoston (2001).zh_TW
dc.relation.reference[8]M. Bohner and A. Peterson,Advances in Dynamic Equationzh_TW
dc.relation.referenceon Time Scales,Birkhauser, Boston (2003).zh_TW
dc.relation.reference[9]B. Jackson,Partial dynamic equations on time scales,J.zh_TW
dc.relation.referenceComput. Appl. Math. 186 (2006) 391-415.zh_TW
item.languageiso639-1en_US-
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item.cerifentitytypePublications-
item.openairetypethesis-
item.openairecristypehttp://purl.org/coar/resource_type/c_46ec-
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