Pub Date : 2024-03-22DOI: 10.2989/16073606.2024.2329810
Dongdong Gao, Daipeng Kuang, Jianli Li
This paper is aimed to discuss the existence and exponential stability of mild solutions for second-order impulsive neutral stochastic differential equations (INSDEs). Firstly, we derive the existe...
{"title":"Exponential stability results for second-order impulsive neutral stochastic differential equations","authors":"Dongdong Gao, Daipeng Kuang, Jianli Li","doi":"10.2989/16073606.2024.2329810","DOIUrl":"https://doi.org/10.2989/16073606.2024.2329810","url":null,"abstract":"This paper is aimed to discuss the existence and exponential stability of mild solutions for second-order impulsive neutral stochastic differential equations (INSDEs). Firstly, we derive the existe...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"71 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140197846","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}
Pub Date : 2024-03-22DOI: 10.2989/16073606.2024.2329338
R. Chammem, A. Sahbani, A. Saidani
In this paper, we consider a class of singular variable-order fractional Kirchhoff problem of the form:where is a bounded domain, is the variable-order fractional Laplacian operator, [u]s(·) is t...
{"title":"Multiplicity of solutions for variable-order fractional Kirchhoff problem with singular term","authors":"R. Chammem, A. Sahbani, A. Saidani","doi":"10.2989/16073606.2024.2329338","DOIUrl":"https://doi.org/10.2989/16073606.2024.2329338","url":null,"abstract":"In this paper, we consider a class of singular variable-order fractional Kirchhoff problem of the form:where is a bounded domain, is the variable-order fractional Laplacian operator, [u]s(·) is t...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140197838","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}
In this paper, we give the flag curvature formula of general (α, β)-metrics of Berwald type. We study conformally related (α, β)-metrics, especially general (α, β)-metrics that are conformally rela...
{"title":"Conformally related invariant (α, β)-metrics on homogeneous spaces","authors":"Azar Fatahi, Masoumeh Hosseini, Hamid Reza Salimi Moghaddam","doi":"10.2989/16073606.2024.2328352","DOIUrl":"https://doi.org/10.2989/16073606.2024.2328352","url":null,"abstract":"In this paper, we give the flag curvature formula of general (α, β)-metrics of Berwald type. We study conformally related (α, β)-metrics, especially general (α, β)-metrics that are conformally rela...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"28 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140198062","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}
Pub Date : 2024-03-21DOI: 10.2989/16073606.2024.2321259
A. Alochukwu, M. Dorfling, E. Jonck
An i-packing in a graph G is a set of vertices that are pairwise at distance more than i. A packing colouring of G is a partition X = {X1, X2, . . . , Xk } of V(G) such that each colour class Xi is...
图 G 中的 i 填充是成对距离大于 i 的顶点集合。, Xk } 的分区，使得每个颜色类 Xi 都是...
{"title":"On uniquely packable trees","authors":"A. Alochukwu, M. Dorfling, E. Jonck","doi":"10.2989/16073606.2024.2321259","DOIUrl":"https://doi.org/10.2989/16073606.2024.2321259","url":null,"abstract":"An i-packing in a graph G is a set of vertices that are pairwise at distance more than i. A packing colouring of G is a partition X = {X1, X2, . . . , Xk } of V(G) such that each colour class Xi is...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"132 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140197848","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}
Pub Date : 2024-03-21DOI: 10.2989/16073606.2024.2323159
Tomás Fernández-Bayort, Álvaro Luque, Antonio Quintero
This paper introduces the study of the infinity in the class of Alexandroff spaces by establishing the proper category of locally finite Alexandroff spaces. We observe that the McCord and Clader th...
{"title":"The proper homotopy of Alexandroff spaces","authors":"Tomás Fernández-Bayort, Álvaro Luque, Antonio Quintero","doi":"10.2989/16073606.2024.2323159","DOIUrl":"https://doi.org/10.2989/16073606.2024.2323159","url":null,"abstract":"This paper introduces the study of the infinity in the class of Alexandroff spaces by establishing the proper category of locally finite Alexandroff spaces. We observe that the McCord and Clader th...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"58 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140197825","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}
Pub Date : 2024-03-07DOI: 10.2989/16073606.2023.2287848
A.W. Wickstead
We give an example of an Archimedean Riesz space on which every automorphism is a strictly positive multiple of the identity.
我们给出了一个阿基米德里兹空间的例子，在这个空间上，每个自变量都是同一性的严格正倍数。
{"title":"A rigid Riesz space","authors":"A.W. Wickstead","doi":"10.2989/16073606.2023.2287848","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287848","url":null,"abstract":"We give an example of an Archimedean Riesz space on which every automorphism is a strictly positive multiple of the identity.","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"30 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140107109","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}
Pub Date : 2024-03-07DOI: 10.2989/16073606.2023.2287841
A.J.E.M. Janssen
We investigate the mathematical properties of the function , ϵ ∈ [−1, 1], which is a special Kapteyn series of the first kind. Unlike various other special Kapteyn series, the function T (ϵ) does n...
我们研究函数 , ϵ ∈ [-1, 1] 的数学性质，它是第一类特殊卡普亭数列。与其他各种特殊卡普丁数列不同，函数 T (ϵ) 不...
{"title":"On a special Kapteyn series","authors":"A.J.E.M. Janssen","doi":"10.2989/16073606.2023.2287841","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287841","url":null,"abstract":"We investigate the mathematical properties of the function , ϵ ∈ [−1, 1], which is a special Kapteyn series of the first kind. Unlike various other special Kapteyn series, the function T (ϵ) does n...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"39 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140117609","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}
Pub Date : 2024-03-07DOI: 10.2989/16073606.2023.2287816
Marcel de Jeu, Jan Harm van der Walt
It is well known that the bidual of C(X) for a compact space X, supplied with the Arens product, is isometrically isomorphic as a Banach algebra to for some compact space . The space is unique up...
众所周知，对于紧凑空间 X 而言，C(X) 的双元与阿伦积是同构的。该空间是唯一的，直到...
{"title":"The order bidual of C(X) for a realcompact space","authors":"Marcel de Jeu, Jan Harm van der Walt","doi":"10.2989/16073606.2023.2287816","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287816","url":null,"abstract":"It is well known that the bidual of C(X) for a compact space X, supplied with the Arens product, is isometrically isomorphic as a Banach algebra to for some compact space . The space is unique up...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"25 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073546","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":"To the memory of W.A.J. Luxemburg and his mathematical legacy","authors":"Koos Grobler, Sanne ter Host, Ben de Pagter, Anton R. Schep","doi":"10.2989/16073606.2023.2287813","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287813","url":null,"abstract":"Published in Quaestiones Mathematicae (Vol. 47, No. sup1, 2024)","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"2015 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073581","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}
Pub Date : 2024-03-07DOI: 10.2989/16073606.2023.2287851
S. Mouton, A.D. Rabearivony
Let A be an ordered Banach algebra and a, b ∈ A such that 0 ≤ a ≤ b. The domination problem involves finding natural conditions under which properties of b will be inherited by a. In [12] this prob...
让 A 是一个有序巴拿赫代数，a, b ∈ A，使得 0 ≤ a ≤ b。支配问题涉及找到 b 的属性将被 a 继承的自然条件。
{"title":"Generalized domination of ergodic elements in ordered Banach algebras","authors":"S. Mouton, A.D. Rabearivony","doi":"10.2989/16073606.2023.2287851","DOIUrl":"https://doi.org/10.2989/16073606.2023.2287851","url":null,"abstract":"Let A be an ordered Banach algebra and a, b ∈ A such that 0 ≤ a ≤ b. The domination problem involves finding natural conditions under which properties of b will be inherited by a. In [12] this prob...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"16 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140073613","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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