Houston Journal of Mathematics最新文献

筛选
英文 中文
Bifurcation theory for a class of second order differential equations 一类二阶微分方程的分岔理论
IF 0.3 4区 数学
Houston Journal of Mathematics Pub Date : 2013-01-01 DOI: 10.17077/ETD.QMLJMX3C
Alvaro Correa, Yi A. Li
{"title":"Bifurcation theory for a class of second order differential equations","authors":"Alvaro Correa, Yi A. Li","doi":"10.17077/ETD.QMLJMX3C","DOIUrl":"https://doi.org/10.17077/ETD.QMLJMX3C","url":null,"abstract":"We consider the existence of positive solutions of the nonlinear two point boundary value problem u′′ + λf(u) = 0, u(−1) = u(1) = 0, where f(u) = u(u − a)(u− b)(u− c)(1−u), 0 < a < b < c < 1, as the parameter λ varies through positive values. Every solution u(x) is an even function, and when it exists, it is uniquely identified by α = u(0). We study how the number of solutions changes when the parameter varies, i.e. we will be focusing on the locations of bifurcation points. The authors P. Korman, Y. Li and T. Ouyang ( ”Computing the location and the direction of bifurcation”, Mathematical Research Letters, accepted ), prove that a necessary and sufficient condition for α to be a bifurcation point is G(α) ≡ F (α) ∫ α 0 f(α)− f(τ) [F (α)− F (τ)]3/2 dτ − 2 = 0, where F (α) = ∫ α 0 f(u) du. We will prove that G(α) has vertical asymptotes at α = b, α = 1 and at any point α ∈ (0, 1) for which ∫ α 0 f(u) du = 0. We will use the asymptotic behavior of G to estimate intervals where G(α) 6= 0, that is, intervals where there is no bifurcation point.","PeriodicalId":50398,"journal":{"name":"Houston Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68075371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Relative homological algebra in categories of representations of infinite quivers 无限颤振表示范畴中的相对同调代数
IF 0.3 4区 数学
Houston Journal of Mathematics Pub Date : 2013-01-01 DOI: 10.5072/ZENODO.26602
S. E. Domínguez, Ozdemir Salahattin
{"title":"Relative homological algebra in categories of representations of infinite quivers","authors":"S. E. Domínguez, Ozdemir Salahattin","doi":"10.5072/ZENODO.26602","DOIUrl":"https://doi.org/10.5072/ZENODO.26602","url":null,"abstract":"","PeriodicalId":50398,"journal":{"name":"Houston Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70788096","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Derivational derivatives and Feynman's operational calculi 导数导数和费曼运算演算
IF 0.3 4区 数学
Houston Journal of Mathematics Pub Date : 2009-01-01 DOI: 10.1093/acprof:oso/9780198702498.003.0009
G. Johnson, B. Kim
{"title":"Derivational derivatives and Feynman's operational calculi","authors":"G. Johnson, B. Kim","doi":"10.1093/acprof:oso/9780198702498.003.0009","DOIUrl":"https://doi.org/10.1093/acprof:oso/9780198702498.003.0009","url":null,"abstract":"This paper explores the differential (or derivational) calculus associated with the disentangled operators arising from Feynman's operational calculi (FOCi) for noncommuting operators. (We will use the continuous case of the approach to FOCi initiated by Jefferies and Johnson in 2000.) The central part of this paper deals with a first order infinitesimal calculus for a function of n noncommuting operators. Here the first derivatives (or differentials) are replaced by the first order derivational derivatives. The derivational derivatives of the first and higher order have been useful in, for example, operator algebras, noncommutative geometry and Maslov's discrete form of Feynman's operational calculus. In the last section of this paper we will develop some special cases of higher order expansions.","PeriodicalId":50398,"journal":{"name":"Houston Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60644922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Induced maps on n-fold hyperspaces n叠超空间上的诱导映射
IF 0.3 4区 数学
Houston Journal of Mathematics Pub Date : 2007-01-01 DOI: 10.1007/978-3-319-90902-8_8
M. D. J. López, S. Macías
{"title":"Induced maps on n-fold hyperspaces","authors":"M. D. J. López, S. Macías","doi":"10.1007/978-3-319-90902-8_8","DOIUrl":"https://doi.org/10.1007/978-3-319-90902-8_8","url":null,"abstract":"","PeriodicalId":50398,"journal":{"name":"Houston Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51031289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On Series of Positive Terms 关于正项的级数
IF 0.3 4区 数学
Houston Journal of Mathematics Pub Date : 2004-01-01 DOI: 10.4064/BC64-0-3
K. Grosse-Erdmann, G. Bennett
{"title":"On Series of Positive Terms","authors":"K. Grosse-Erdmann, G. Bennett","doi":"10.4064/BC64-0-3","DOIUrl":"https://doi.org/10.4064/BC64-0-3","url":null,"abstract":"","PeriodicalId":50398,"journal":{"name":"Houston Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2004-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70694859","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 26
Partial Dynamical Systems and AF C*-algebras 部分动力系统与AF C*-代数
IF 0.3 4区 数学
Houston Journal of Mathematics Pub Date : 2003-01-28 DOI: 10.31274/RTD-180813-13219
J. Peters, R. Zerr
{"title":"Partial Dynamical Systems and AF C*-algebras","authors":"J. Peters, R. Zerr","doi":"10.31274/RTD-180813-13219","DOIUrl":"https://doi.org/10.31274/RTD-180813-13219","url":null,"abstract":"We obtain a characterization in terms of dynamical systems of those r-discrete groupoids for which the groupoid C*-algebra is approximately finite-dimensional (AF). These ideas are then used to compute the K-theory for AF algebras by utilizing the actions of these partial homeomorphisms, and these K-theoretic calculations are applied to some specific examples of AF algebras. Finally, we show that, for a certain class of dimension groups, a groupoid can be obtained directly from the dimension group's structure whose associated C*-algebra has its dimension group isomorphic to the original dimension group.","PeriodicalId":50398,"journal":{"name":"Houston Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2003-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69350538","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信