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On Total Coloring of Some Classes of Regular Graphs 关于几类正则图的全着色
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220105
S. Prajnanaswaroopa, J. Geetha, K. Somasundaram, H. Fu, N. Narayanan
{"title":"On Total Coloring of Some Classes of Regular Graphs","authors":"S. Prajnanaswaroopa, J. Geetha, K. Somasundaram, H. Fu, N. Narayanan","doi":"10.11650/tjm/220105","DOIUrl":"https://doi.org/10.11650/tjm/220105","url":null,"abstract":"In this paper, we have obtained upper bounds for the total chromatic number of some classes of Cayley graphs, odd graphs and mock threshold graphs.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48325287","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
New Combinatorial Interpretations for the Partitions into Odd Parts Greater than One 划分为大于1的奇数部分的新组合解释
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220902
C. Ballantine, M. Merca
{"title":"New Combinatorial Interpretations for the Partitions into Odd Parts Greater than One","authors":"C. Ballantine, M. Merca","doi":"10.11650/tjm/220902","DOIUrl":"https://doi.org/10.11650/tjm/220902","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48795322","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
Well-posedness and Asymptotic Behavior for a Pseudo-parabolic Equation Involving $p$-biharmonic Operator and Logarithmic Nonlinearity 一类含有$p$-双调和算子和对数非线性的伪抛物型方程的适定性和渐近性
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/221106
Zhiqing Liu, Z. Fang
{"title":"Well-posedness and Asymptotic Behavior for a Pseudo-parabolic Equation Involving $p$-biharmonic Operator and Logarithmic Nonlinearity","authors":"Zhiqing Liu, Z. Fang","doi":"10.11650/tjm/221106","DOIUrl":"https://doi.org/10.11650/tjm/221106","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47197971","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
On the Exponential Diophantine Equation $F_{n+1}^x - F_{n-1}^x = F_m^y$ 指数丢番图方程$F_{n+1}^x - F_{n-1}^x = F_m^y$
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220303
C. A. Gómez, Jhonny C. Gómez, F. Luca
{"title":"On the Exponential Diophantine Equation $F_{n+1}^x - F_{n-1}^x = F_m^y$","authors":"C. A. Gómez, Jhonny C. Gómez, F. Luca","doi":"10.11650/tjm/220303","DOIUrl":"https://doi.org/10.11650/tjm/220303","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42072265","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
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
{"title":"Boundary Effects on Eigen-problems of Discrete Laplacian in Lattices","authors":"Yueh-Cheng Kuo, Shih-Feng Shieh","doi":"10.11650/tjm/220202","DOIUrl":"https://doi.org/10.11650/tjm/220202","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47696454","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
The Least Squares Solution with the Minimal Norm to a System of Mixed Generalized Sylvester Reduced Biquaternion Tensor Equations 一类混合广义Sylvester简化双四元数张量方程系统的最小范数最小二乘解
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220901
Anli Wei, Ying Li, Shu-ping Yue, Jianli Zhao
{"title":"The Least Squares Solution with the Minimal Norm to a System of Mixed Generalized Sylvester Reduced Biquaternion Tensor Equations","authors":"Anli Wei, Ying Li, Shu-ping Yue, Jianli Zhao","doi":"10.11650/tjm/220901","DOIUrl":"https://doi.org/10.11650/tjm/220901","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48477118","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
On a Higher-order Reaction-diffusion Equation with a Special Medium Void via Potential Well Method 用势阱法研究含特殊介质空隙的高阶反应扩散方程
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220703
T. Do, N. N. Trong, Bui Le Trong Thanh
{"title":"On a Higher-order Reaction-diffusion Equation with a Special Medium Void via Potential Well Method","authors":"T. Do, N. N. Trong, Bui Le Trong Thanh","doi":"10.11650/tjm/220703","DOIUrl":"https://doi.org/10.11650/tjm/220703","url":null,"abstract":". Let d ∈ { 1 , 2 , 3 , . . . } and Ω ⊂ R d be open bounded with Lipschitz boundary. Consider the reaction-diffusion parabolic problem where T > 0, p ∈ (1 , ∞ ), 0 (cid:54) = u 0 ∈ H 20 (Ω) and ν is the outward normal vector to ∂ Ω. We investigate the existence of a global weak solution to the problem together with the decaying and blow-up properties using the potential well method.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48602441","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
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":null,"pages":null},"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
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":null,"pages":null},"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
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":null,"pages":null},"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
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