Taiwanese Journal of Mathematics最新文献

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Boundary Effects on Eigen-problems of Discrete Laplacian in Lattices 格中离散拉普拉斯特征问题的边界效应
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220202
Yueh-Cheng Kuo, Shih-Feng Shieh
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引用次数: 1
On Nodal Properties for Some Nonlinear Conformable Fractional Differential Equations 一类非线性可合分数阶微分方程的节点性质
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220104
Wei-Chuan Wang, Yan-Hsiou Cheng
{"title":"On Nodal Properties for Some Nonlinear Conformable Fractional Differential Equations","authors":"Wei-Chuan Wang, Yan-Hsiou Cheng","doi":"10.11650/tjm/220104","DOIUrl":"https://doi.org/10.11650/tjm/220104","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44125134","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: 1
Log Canonical Thresholds on Burniat Surfaces with $K^2 = 6$ via Pluricanonical Divisors K^2 = 6的燃烧曲面上的对数正则阈值
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220605
In-kyun Kim, Y. Shin
{"title":"Log Canonical Thresholds on Burniat Surfaces with $K^2 = 6$ via Pluricanonical Divisors","authors":"In-kyun Kim, Y. Shin","doi":"10.11650/tjm/220605","DOIUrl":"https://doi.org/10.11650/tjm/220605","url":null,"abstract":". Let S be a Burniat surface with K 2 S = 6 and ϕ be the bicanonical map of S . In this paper we show optimal lower bounds of log canonical thresholds of members of pluricanonical sublinear systems of S via Klein group G induced by ϕ . Indeed, for a positive even integer m , the log canonical threshold of members of an invariant (resp. anti-invariant) part of | mK S | is greater than or equal to 1 / (2 m ) (resp. 1 / (2 m − 2)). For a positive odd integer m , the log canonical threshold of members of an invariant (resp. anti-invariant) part of | mK S | is greater than or equal to 1 / (2 m − 5) (resp. 1 / (2 m )). The inequalities are all optimal.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46944013","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
Oscillation and Nonoscillation for Two-dimensional Nonlinear Systems of Ordinary Differential Equations 二维非线性常微分方程组的振动性和非振动性
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/221001
Manabu Naito
{"title":"Oscillation and Nonoscillation for Two-dimensional Nonlinear Systems of Ordinary Differential Equations","authors":"Manabu Naito","doi":"10.11650/tjm/221001","DOIUrl":"https://doi.org/10.11650/tjm/221001","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48838520","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
Global Well-posedness of Solutions for the $p$-Laplacian Hyperbolic Type Equation with Weak and Strong Damping Terms and Logarithmic Nonlinearity 具有弱、强阻尼项和对数非线性的$p$- laplace双曲型方程解的全局适定性
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220702
N. Boumaza, Billel Gheraibia, Gongwei Liu
{"title":"Global Well-posedness of Solutions for the $p$-Laplacian Hyperbolic Type Equation with Weak and Strong Damping Terms and Logarithmic Nonlinearity","authors":"N. Boumaza, Billel Gheraibia, Gongwei Liu","doi":"10.11650/tjm/220702","DOIUrl":"https://doi.org/10.11650/tjm/220702","url":null,"abstract":". In this paper, we consider the p -Laplacian hyperbolic type equation with weak and strong damping terms and logarithmic nonlinearity. By using the potential well method and a logarithmic Sobolev inequality, we prove global existence, infinite time blow up and asymptotic behavior of solutions in two cases E (0) < d and E (0) = d . Furthermore, the infinite time blow up of solutions for the problem with E (0) > 0 ( ω = 0) is studied.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49149420","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: 4
Existence of Invariant Curves for Degenerate Quasi-periodic Reversible Mappings 退化拟周期可逆映射不变曲线的存在性
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220201
Peng-Ruei Huang
{"title":"Existence of Invariant Curves for Degenerate Quasi-periodic Reversible Mappings","authors":"Peng-Ruei Huang","doi":"10.11650/tjm/220201","DOIUrl":"https://doi.org/10.11650/tjm/220201","url":null,"abstract":"In this paper we are concerned with the existence of invariant curves of quasi-periodic reversible mappings with higher order degeneracy of the twist condition under the Brjuno–Rüssmann’s non-resonant condition. In the proof we use a new variant of the KAM theory, containing an artificial parameter q, 0 < q < 1, which makes the steps of the KAM iteration infinitely small in the speed of function qε, rather than super exponential function.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44510884","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
Vlasov–Poisson Equation in Besov Space Besov空间中的Vlasov-Poisson方程
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220304
Cong He, Jingchun Chen
{"title":"Vlasov–Poisson Equation in Besov Space","authors":"Cong He, Jingchun Chen","doi":"10.11650/tjm/220304","DOIUrl":"https://doi.org/10.11650/tjm/220304","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44638268","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
Eakin–Nagata–Eisenbud Theorem for Right $S$-Noetherian Rings 右$S$- noether环的Eakin-Nagata-Eisenbud定理
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/221101
Gangyong Lee, Jongwook Baeck, J. Lim
{"title":"Eakin–Nagata–Eisenbud Theorem for Right $S$-Noetherian Rings","authors":"Gangyong Lee, Jongwook Baeck, J. Lim","doi":"10.11650/tjm/221101","DOIUrl":"https://doi.org/10.11650/tjm/221101","url":null,"abstract":". The Eakin–Nagata theorem examines the condition that the Noetherian property passes through each other between subrings and extension rings in 1968. Later, a noncommutative version of Eakin–Nagata theorem was also proved. Lam called this version Eakin–Nagata–Eisenbud theorem. In addition, Anderson and Dumitrescu introduced the S -Noetherian concept which is an extended notion of the Noetherian property on commutative rings in 2002. In this paper, we consider the S -variant of Eakin–Nagata–Eisenbud theorem for general rings by using S -Noetherian modules. We also show that every right S -Noetherian domain is right Ore, which is embedded into a division ring. For a right S -Noetherian ring, we obtain sufficient conditions for its right ring of fractions to be right S -Noetherian or right Noetherian. As applications, the S -variant of Eakin–Nagata–Eisenbud theorem is applied to the composite polynomial, composite power series and composite skew polynomial rings.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43357873","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 Mixed Joint Discrete Universality for a Class of Zeta-functions: One More Case 一类ζ函数的混合联合离散通用性:又一种情况
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220804
R. Kačinskaitė, Kohji Matsumoto, Łukasz Pańkowski
{"title":"On Mixed Joint Discrete Universality for a Class of Zeta-functions: One More Case","authors":"R. Kačinskaitė, Kohji Matsumoto, Łukasz Pańkowski","doi":"10.11650/tjm/220804","DOIUrl":"https://doi.org/10.11650/tjm/220804","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49001266","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: 1
A Minimum Principle for Stochastic Optimal Control Problem with Interval Cost Function 区间代价函数随机最优控制问题的极小原理
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/221102
Mahdi Rezaei Bahrmand, H. Khaloozadeh, P. R. Ardabili
{"title":"A Minimum Principle for Stochastic Optimal Control Problem with Interval Cost Function","authors":"Mahdi Rezaei Bahrmand, H. Khaloozadeh, P. R. Ardabili","doi":"10.11650/tjm/221102","DOIUrl":"https://doi.org/10.11650/tjm/221102","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44367910","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
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