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具有不定型位勢之漢米爾頓系統的同宿軌解 = On the homocli...

吳士逸

具有不定型位勢之漢米爾頓系統的同宿軌解 = On the homoclinic Solutions of Hamiltonian System with Indefinite Potential

Record Type:	Language materials, printed : monographic
Paralel Title:	On the homoclinic Solutions of Hamiltonian System with Indefinite Potential
Author:	吳士逸,
Secondary Intellectual Responsibility:	國立高雄大學
Place of Publication:	[高雄市]
Published:	撰者;
Year of Publication:	2015[民104]
Description:	30面圖，表 : 30公分;
Subject:	微分方程
Subject:	Di erential equations
Online resource:	http://handle.ncl.edu.tw/11296/ndltd/71546127313027778103
Notes:	104年10月31日公開
Notes:	參考書目：面20-23
Summary:	在文章中,我們討論二階漢米爾頓系統u - L(t)u+Wu(t,u) = 0當W∈c1(RxRn,R)具有不定型位勢且L(t)可以為一半正定矩陣對於所有的t 是實數的時候,我們在二階漢米爾頓系統的同述軌解上得到了一些新的結果,另外我們還討論了一些同述軌解的性質。 In this paper, we study homoclinic solutions for the second-order Hamiltonian systemsu - L(t)u + Wu (t; u) = 0, where W 2 C1(R RN ; R) is an inde nite potential, andL(t) is allowed to be a positive semi-de nite symmetric matrix for all t 2 R, that is L(t) 0 in some nite interval T of R. We obtain some new results on the existence ofhomoclinic solutions for the second-order Hamiltonian systems. Furthermore, we alsostudy the concentration of homoclinic solutions.

具有不定型位勢之漢米爾頓系統的同宿軌解 = On the homoclinic Solutions of Hamiltonian System with Indefinite Potential
吳, 士逸

具有不定型位勢之漢米爾頓系統的同宿軌解 = On the homoclinic Solutions of Hamiltonian System with Indefinite Potential / 吳士逸撰 - [高雄市] : 撰者, 2015[民104]. - 30面 ; 圖，表 ; 30公分.
104年10月31日公開參考書目：面20-23.
微分方程Di erential equations

具有不定型位勢之漢米爾頓系統的同宿軌解 = On the homoclinic Solutions of Hamiltonian System with Indefinite Potential
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328 $a 碩士論文--國立高雄大學應用數學系碩士班
330 $a 在文章中,我們討論二階漢米爾頓系統u - L(t)u+Wu(t,u) = 0當W∈c1(RxRn,R)具有不定型位勢且L(t)可以為一半正定矩陣對於所有的t 是實數的時候,我們在二階漢米爾頓系統的同述軌解上得到了一些新的結果,另外我們還討論了一些同述軌解的性質。 In this paper, we study homoclinic solutions for the second-order Hamiltonian systemsu - L(t)u + Wu (t; u) = 0, where W 2 C1(R RN ; R) is an inde nite potential, andL(t) is allowed to be a positive semi-de nite symmetric matrix for all t 2 R, that is L(t) 0 in some nite interval T of R. We obtain some new results on the existence ofhomoclinic solutions for the second-order Hamiltonian systems. Furthermore, we alsostudy the concentration of homoclinic solutions.
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