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

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7931

Title:	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
Authors:	蘇美慈;Mei-tzu Su
Contributors:	數學研究所
Keywords:	存在性;週期性;上解;下解;行波解;traveling wave solutions;existence;subsolution;supersolution;monostable
Date:	2008-06-14
Issue Date:	2009-09-22 11:09:24 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	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。 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.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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