博碩士論文 952201006 完整後設資料紀錄

DC 欄位 語言
DC.contributor數學系zh_TW
DC.creator陳冠朋zh_TW
DC.creatorKuan-peng Chenen_US
dc.date.accessioned2008-6-20T07:39:07Z
dc.date.available2008-6-20T07:39:07Z
dc.date.issued2008
dc.identifier.urihttp://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=952201006
dc.contributor.department數學系zh_TW
DC.description國立中央大學zh_TW
DC.descriptionNational Central Universityen_US
dc.description.abstract在這篇論文,我們考慮以下的網格型微分方程$$u’’_n(t)=-g(u_n(t))+lambda f(u_n(t))+sumlimits_{Ngeq|i|geq0}d_iu_{n-i}(t)$$在$(0,infty )$而且$ninBbb Z$,$f$,$gin C^1$,$g$是非遞減函數以及$f$是非線性monostable型。根據[7]和[9]的方法,存在critical speed $c_0$,且使得所有$c>c_0>0$,我們證明存在唯一的行波解。此外,我們也研究介於$0$和$1$之間行波解的漸近穩定性。zh_TW
dc.description.abstractIn this thesis, we consider the following lattice differential equation $$u’’_n(t)=-g(u_n(t))+lambda f(u_n(t))+sumlimits_{Ngeq|i|geq0}d_iu_{n-i}(t)$$ on $(0,infty )$ with $ ninBbb Z$, where $f,gin C^1$,$g$ is non-decreasing and $f$ is a monostable-type nonlinearity. Following the ideas of [7] and [9], we also show the existence of a critical speed $c_0>0$ such that for all $c>c_0>0$, there exists a unique traveling wave solution of the equations. Furthermore, we also study the asymptotic stability of traveling wave solutions which are bounded between $0$ and $1$.en_US
DC.subject存在性zh_TW
DC.subject唯一性zh_TW
DC.subject漸近穩定性zh_TW
DC.subject行波解zh_TW
DC.subjectmonostablezh_TW
DC.subject下解zh_TW
DC.subject上解zh_TW
DC.subjectasymptotic stabilityen_US
DC.subjectuniquenessen_US
DC.subjectexistenceen_US
DC.subjectmonostableen_US
DC.subjectsupersolutionen_US
DC.subjectsubsolutionen_US
DC.subjecttraveling wave solutionsen_US
DC.title某類網格型微分方程行波解的存在性,唯一性及穩定性zh_TW
dc.language.isozh-TWzh-TW
DC.titleExistence, Uniqueness and Asymptotic Stability of Traveling Wave Solutions for Some Lattice Differential Equationsen_US
DC.type博碩士論文zh_TW
DC.typethesisen_US
DC.publisherNational Central Universityen_US

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