{"title":"A Non-Archimedean Second Main Theorem for Small Functions and Applications","authors":"T. An, N. Phuong","doi":"10.11650/tjm/230701","DOIUrl":"https://doi.org/10.11650/tjm/230701","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42057294","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}
Luisa Carini, Vincenzo De Filippis, Giovanni Scudo
{"title":"Generalized Skew Derivations with Hypercommuting Conditions on Lie Ideals","authors":"Luisa Carini, Vincenzo De Filippis, Giovanni Scudo","doi":"10.11650/tjm/230806","DOIUrl":"https://doi.org/10.11650/tjm/230806","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135441177","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}
{"title":"Asymptotic Behavior of Random Reaction-diffusion Delay Equations Driven by Colored Noise","authors":"Wenjun Ma, Qiaozhen Ma","doi":"10.11650/tjm/230301","DOIUrl":"https://doi.org/10.11650/tjm/230301","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46960422","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}
{"title":"Effects of B-D Functional Response and Protection Zone on a Predator-prey Model","authors":"Yu-Xia Wang, Shouwen Fan","doi":"10.11650/tjm/230501","DOIUrl":"https://doi.org/10.11650/tjm/230501","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42137955","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}
We construct new symplectic $4$-manifolds with non-negative signatures and with the smallest Euler characteristics, using fake projective planes, Cartwright–Steger surfaces and their normal covers and product symplectic $4$-manifolds $Sigma_{g} times Sigma_{h}$, where $g geq 1$ and $h geq 0$, along with exotic symplectic $4$-manifolds constructed in [7, 12]. In particular, our constructions yield to (1) infinitely many irreducible symplectic and infinitely many non-symplectic $4$-manifolds that are homeomorphic but not diffeomorphic to $(2n-1) mathbb{CP}^{2} # (2n-1) overline{mathbb{CP}}^{2}$ for each integer $n geq 9$, (2) infinite families of simply connected irreducible nonspin symplectic and such infinite families of non-symplectic $4$-manifolds that have the smallest Euler characteristics among the all known simply connected $4$-manifolds with positive signatures and with more than one smooth structure. We also construct a complex surface with positive signature from the Hirzebruch's line-arrangement surfaces, which is a ball quotient.
{"title":"Complex Ball Quotients and New Symplectic $4$-manifolds with Nonnegative Signatures","authors":"Anar Akhmedov, Sümeyra Sakallı, Sai-Kee Yeung","doi":"10.11650/tjm/230905","DOIUrl":"https://doi.org/10.11650/tjm/230905","url":null,"abstract":"We construct new symplectic $4$-manifolds with non-negative signatures and with the smallest Euler characteristics, using fake projective planes, Cartwright–Steger surfaces and their normal covers and product symplectic $4$-manifolds $Sigma_{g} times Sigma_{h}$, where $g geq 1$ and $h geq 0$, along with exotic symplectic $4$-manifolds constructed in [7, 12]. In particular, our constructions yield to (1) infinitely many irreducible symplectic and infinitely many non-symplectic $4$-manifolds that are homeomorphic but not diffeomorphic to $(2n-1) mathbb{CP}^{2} # (2n-1) overline{mathbb{CP}}^{2}$ for each integer $n geq 9$, (2) infinite families of simply connected irreducible nonspin symplectic and such infinite families of non-symplectic $4$-manifolds that have the smallest Euler characteristics among the all known simply connected $4$-manifolds with positive signatures and with more than one smooth structure. We also construct a complex surface with positive signature from the Hirzebruch's line-arrangement surfaces, which is a ball quotient.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135783920","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}
Let $G$ be a connected graph and $D^{L}(G) = operatorname{Tr}(G) - D(G)$ be the distance Laplacian matrix of $G$, where $operatorname{Tr}(G)$ and $D(G)$ are diagonal matrix with vertex transmissions of $G$ and distance matrix of $G$, respectively. The $D^{L}$-spectral radius of $G$ is defined as the largest absolute value of the distance Laplacian eigenvalues of $G$. In this paper, we characterize the unique extremal graphs which maximize the $D^{L}$-spectral radius among the complements of trees and unicyclic graphs, respectively.
{"title":"Distance Laplacian Spectral Radius of the Complements of Trees and Unicyclic Graphs","authors":"Kang Liu, Dan Li, Yuanyuan Chen","doi":"10.11650/tjm/231002","DOIUrl":"https://doi.org/10.11650/tjm/231002","url":null,"abstract":"Let $G$ be a connected graph and $D^{L}(G) = operatorname{Tr}(G) - D(G)$ be the distance Laplacian matrix of $G$, where $operatorname{Tr}(G)$ and $D(G)$ are diagonal matrix with vertex transmissions of $G$ and distance matrix of $G$, respectively. The $D^{L}$-spectral radius of $G$ is defined as the largest absolute value of the distance Laplacian eigenvalues of $G$. In this paper, we characterize the unique extremal graphs which maximize the $D^{L}$-spectral radius among the complements of trees and unicyclic graphs, respectively.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136366379","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}
{"title":"An Implicit Discontinuous Galerkin Scheme for Solving the Cardiovascular Drug-eluting Stents' Model","authors":"Somayeh Fakhri, S. H. Momeni-Masuleh","doi":"10.11650/tjm/230402","DOIUrl":"https://doi.org/10.11650/tjm/230402","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43620283","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}
{"title":"Filter Regularization Method for Inverse Source Problem of the Rayleigh–Stokes Equation","authors":"Songshu Liu","doi":"10.11650/tjm/230302","DOIUrl":"https://doi.org/10.11650/tjm/230302","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45908743","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}
{"title":"The Smallest $2$-Pisot Numbers in $mathbb{F}_{q}((X^{-1}))$ Where $q$ is Different from the Power of $2$","authors":"H. Kthiri","doi":"10.11650/tjm/230601","DOIUrl":"https://doi.org/10.11650/tjm/230601","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46671856","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}
{"title":"On the Stability of a Linear Cauchy Rao–Nakra Sandwich Beam Under Frictional Dampings","authors":"A. Guesmia","doi":"10.11650/tjm/230502","DOIUrl":"https://doi.org/10.11650/tjm/230502","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43078106","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}
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