國立臺南大學教師基本資料

基本資料
姓名 葉宗鑫
系所 應用數學系
職稱 教授
校內分機 557
傳真
辦公室/研究室 C101-1C
E-mail tsyeh@mail.nutn.edu.tw
網址
專長/研究領域 微分方程
 

畢業學校國別主修學門學位修業期間
東海大學中華民國數學系學士1992/09 ~ 1995/06
中正大學中華民國應用數學研究所碩士1995/09 ~ 1997/06
清華大學中華民國數學系博士班博士1999/09 ~ 2003/06

服務機關部門 / 系所職稱服務期間
    
玄奘人文社會學院通識教育中心助理教授2003/08 ~ 2004/07
玄奘大學應用數學系助理教授2004/08 ~ 2006/07
玄奘大學應用數學系副教授2006/08 ~ 2009/01
臺南大學應用數學系副教授2009/02 ~ 2015/01
臺南大學應用數學系教授2015/02 ~

著作
名稱Exact multiplicity and ordering properties of positive solutions of a p-Laplacian Dirichlet problem and their applications
年度2003
類別期刊論文
摘要
關鍵字
名稱On the exact structure of positive solutions of an Ambrosetti-Brezis-Cerami problem and its generalization in one space variable
年度2004
類別期刊論文
摘要
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名稱A complete classification of bifurcation diagrams of a Dirichlet problem with concave-convex nonlinearities
年度2004
類別期刊論文
摘要
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名稱The structure of the solution set of a generalized Ambrosetti-Brezis-Cerami problem in one space variable
年度2006
類別期刊論文
摘要
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名稱A complete classification of bifurcation diagrams of a p-Laplacian Dirichlet problem
年度2006
類別期刊論文
摘要
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名稱Exact structure of positive solutions for a p-Laplacian problem involving singular and superlinear nonlinearities
年度2007
類別期刊論文
摘要
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名稱Exact multiplicity of solutions and S-shaped bifurcation curves for the p-Laplacian perturbed Gelfand problem in one space variable
年度2008
類別期刊論文
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名稱A theorem on reversed S-shaped bifurcation curves for a class of boundary value problems and its application
年度2009
類別期刊論文
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名稱Classification of bifurcation diagrams of a p-Laplacian Dirichlet problem with examples
年度2010
類別期刊論文
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名稱Classification of bifurcation diagrams of a p-Laplacian nonpositone problem
年度2013
類別期刊論文
摘要We study the bifurcation diagrams of positive solutions of a p-Laplacian Dirichlet problem. Under certain hypotheses, we give a complete classification of bifurcation diagrams. We prove that, each bifurcation diagram consists of exactly one curve which has exactly one turning point where the curve turns to the right. In addition, we show the evolution phenomena of bifurcation diagrams of polynomial nonlinearities with positive coefficients.
關鍵字Bifurcation diagram, positive solution, p-Laplacian, nonpositone problem, exact multiplicity
名稱S-shaped and broken S-shaped bifurcation diagrams with hysteresis for a multiparameter spruce budworm population problem in one space dimension
年度2013
類別期刊論文
摘要We study exact multiplicity and bifurcation diagrams of positive solutions for a multiparameter spruce budworm population steady-state problem in one space dimension. We give a classification of three qualitatively different bifurcation diagrams: an S-shaped curve, a broken S-shaped curve, and a monotone increasing curve. Our results settle rigorously a long-standing open problem in Ludwig, Aronson and Weinberger (J. Math. Biol., 8 (1979), pp. 217258).
關鍵字S-shaped bifurcation diagram; Broken S-shaped bifurcation diagram; Weak hysteresis; Strong hysteresis; Spruce budworm problem; Time map
名稱Classification of bifurcation diagrams for a multiparameter diffusive logistic problem with Holling type-IV functional response
年度2014
類別期刊論文
摘要We study exact multiplicity and bifurcation diagrams of positive solutions for a multiparameter diffusive logistic problem with Holling type-IV functional response. Under some assumptions, we give a classification of four qualitatively different bifurcation diagrams: an S-shaped curve, a broken S-shaped curve, a ㄈ-shaped curve and a monotone increasing curve.
關鍵字S-shaped bifurcation diagram; Broken S-shaped bifurcation diagram; Exact multiplicity; Diffusive logistic problem; Holling type-IV functional response; Time map
名稱Classification of bifurcation curves of positive solutions for a nonpositone problem with a quartic polynomial
年度2016
類別期刊論文
摘要We study exact multiplicity and bifurcation curves of positive solutions for a nonpositone problem with a quartic polynomial, we give a classification of four qualitatively different bifurcation curves: an S-shaped curve, a broken S-shaped curve, a ⊂-shaped curve and a monotone increasing curve.
關鍵字S-shaped bifurcation curve, broken S-shaped bifurcation curve, exact multiplicity, nonpositone problem, quartic polynomial, time map
名稱S-shaped and broken S-shaped bifurcation curves for a multiparameter diffusive logistic problem with Holling type-III functional response
年度2017
類別期刊論文
摘要We study exact multiplicity and bifurcation curves of positive solutions for a multiparameter diffusive logistic problem with Holling type-III functional response. We give a classification of four qualitatively different bifurcation curves: an S-shaped curve, a broken S-shaped curve, a ⊂-shaped curve and a monotone increasing curve.
關鍵字S-shaped bifurcation curve, broken S-shaped bifurcation curve, Holling type-III functional response, diffusive logistic problem, time map
名稱Bifurcation curves of positive steady-state solutions for a reaction-diffusion problem of lake eutrophication
年度2017
類別期刊論文
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