某類週期性網格型微分方程行波解之研究

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姓名

蘇美慈(Mei-tzu Su) 查詢紙本館藏

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數學系

論文名稱

某類週期性網格型微分方程行波解之研究
(A Study on Traveling Wave Solutions of Some Periodic Lattice Differential Equations)

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摘要(中)

在本篇論文中，我們主要研究某類diffusively function-coupled週期性網格型微分方程行波解的存在性。根據參考文獻[14]的方法，我們證明當波速高於最小波速時，行波解是存在的。此外，我們探討此類行波解的一些特性。

摘要(英)

In this thesis we investigate the existence of traveling wave solutions of some diffusively function-coupled periodic lattice differential equations. Following the ideas of [14], we show that if the wave speed is above the minimal wave speed, then traveling wave solution exists. Moreover, we discuss the properties of that traveling wave solution.

關鍵字(中)

★ 存在性
★ 週期性
★ 上解
★ 下解
★ 行波解

關鍵字(英)

★ traveling wave solutions
★ existence
★ subsolution
★ supersolution
★ monostable

論文目次

中文摘要 ……………………………………………………………i
英文摘要 ………………………………………………………… ii
Contents …………………………………………………………iii
Abstract ……………………………………………………………1
1.Introduction ……………………………………………………2
2.Existence of the solution for problem (P) ……………3
3.Properties of the traveling wave solution ……………18
References ………………………………………………………28

參考文獻

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指導教授

許正雄(Cheng-hsiung Hsu)

審核日期

2008-6-25

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