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Turkish Journal of Mathematics最新文献

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The flow-geodesic curvature and the flow-evolute of spherical curves 球形曲线的流动地形曲率和流动旋涡
IF 0.8 4区 数学
Turkish Journal of Mathematics Pub Date : 2024-07-03 DOI: 10.55730/1300-0098.3538
M. Crășmăreanu
{"title":"The flow-geodesic curvature and the flow-evolute of spherical curves","authors":"M. Crășmăreanu","doi":"10.55730/1300-0098.3538","DOIUrl":"https://doi.org/10.55730/1300-0098.3538","url":null,"abstract":": We introduce and study a deformation of the geodesic curvature for a given spherical curve γ . Also, we define a new type of evolute and two Fermi-Walker type derivatives for γ . Some concrete examples are detailed with a special attention towards space curves with a constant torsion","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141682333","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
Properties of gyrogroups induced by groups whose central quotients being 2-Engel 由中心商为 2-Engel 的群诱导的陀螺群的性质
IF 0.8 4区 数学
Turkish Journal of Mathematics Pub Date : 2024-07-03 DOI: 10.55730/1300-0098.3531
Jaturon Wattanapan, T. Suksumran
{"title":"Properties of gyrogroups induced by groups whose central quotients being 2-Engel","authors":"Jaturon Wattanapan, T. Suksumran","doi":"10.55730/1300-0098.3531","DOIUrl":"https://doi.org/10.55730/1300-0098.3531","url":null,"abstract":": A group Γ is said to be CCII if the quotient Γ /Z (Γ) is 2 -Engel or, equivalently, commutator-inversion invariant, where Z (Γ) is the center of Γ . In this article, we prove algebraic and topological properties of gyrogroups that are induced by CCII groups. Then, using a classification of non-abelian groups of order n with n < 32 , we determine all finite CCII groups of order less than 32 .","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141682124","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
Positive and decreasing solutions for higher order Caputo boundary valueproblems with sign-changing Green’s function 具有符号变化格林函数的高阶卡普托边界值问题的正解和递减解
IF 0.8 4区 数学
Turkish Journal of Mathematics Pub Date : 2024-07-03 DOI: 10.55730/1300-0098.3532
Rian Yan, Yige Zhao, Xuan Leng, Yabing Li
{"title":"Positive and decreasing solutions for higher order Caputo boundary valueproblems with sign-changing Green’s function","authors":"Rian Yan, Yige Zhao, Xuan Leng, Yabing Li","doi":"10.55730/1300-0098.3532","DOIUrl":"https://doi.org/10.55730/1300-0098.3532","url":null,"abstract":": In this paper, Caputo boundary value problems of order 3 < ζ ≤ 4 are investigated on the interval [0 , 1] . By Guo-Krasnoselskii fixed point theorem, some criteria of existence and multiplicity of positive and decreasing solutions are established. The main novelty of the paper lies in its capability to achieve positive solutions while the corresponding Green’s function changes sign. Finally, two examples are provided to illustrate the application of these results.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141681106","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
Bernstein-Nikol’skii-Markov-type inequalities for algebraic polynomials in aweighted Lebesgue space in regions with cusps 伯恩斯坦-尼克尔斯基-马尔科夫式不等式在有尖顶区域的加权勒贝格空间中的代数多项式
IF 0.8 4区 数学
Turkish Journal of Mathematics Pub Date : 2024-07-03 DOI: 10.55730/1300-0098.3536
U. Değer, Fahreddi̇n Abdullayev
{"title":"Bernstein-Nikol’skii-Markov-type inequalities for algebraic polynomials in aweighted Lebesgue space in regions with cusps","authors":"U. Değer, Fahreddi̇n Abdullayev","doi":"10.55730/1300-0098.3536","DOIUrl":"https://doi.org/10.55730/1300-0098.3536","url":null,"abstract":": In this paper, we study Bernstein-Nikol’skii-Markov type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the weight functions have some singularities on a given contour. We consider curves which can contain a finite number of exterior and interior corners with power law tangency of the boundary arcs at those points where the weight functions have both zeros and poles of finite order. The estimates are given for the growth of the module of derivatives for algebraic polynomials on the closure of a region bounded by a given curve, depending on the behavior of weight functions, on the property of curve, and on the degree of contact of the boundary arcs, which form zero angles on the boundary.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141681534","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
Interior Schauder-type estimates for m − th order elliptic operators inrearrangement-invariant Sobolev spaces 重排不变量索波列夫空间中 m - th 阶椭圆算子的内部 Schauder 型估计值
IF 0.8 4区 数学
Turkish Journal of Mathematics Pub Date : 2024-07-03 DOI: 10.55730/1300-0098.3541
Emi̇nağa M. Mamedov, S. Cetin
{"title":"Interior Schauder-type estimates for m − th order elliptic operators inrearrangement-invariant Sobolev spaces","authors":"Emi̇nağa M. Mamedov, S. Cetin","doi":"10.55730/1300-0098.3541","DOIUrl":"https://doi.org/10.55730/1300-0098.3541","url":null,"abstract":": In this study, we investigate the m -th order elliptic operators on n -dimensional bounded domain Ω ⊂ R n with discontinuous coefficients in the rearrangement-invariant Sobolev space W mX (Ω) . In general, the considered rearrangement-invariant spaces are not separable, so the use of classical methods in these spaces requires substantial modification of classical methods and a lot of preparation, concerning correctness of substitution operator, problems related to the extension operator in such spaces, etc. For this purpose, the corresponding separable subspaces of these spaces, in which the set of compact supported infinitely differentiable functions is dense, are introduced based on the shift operator. We establish interior Schauder-type estimates in the above subspaces. Note that Lebesgue spaces L p (Ω) , grand-Lebesgue spaces, Marcinkiewicz spaces, weak-type L wp spaces, etc. are also covered by such spaces.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141682688","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 Vietoris’ hybrid number sequence 关于维捷奥利的混合数列
IF 0.8 4区 数学
Turkish Journal of Mathematics Pub Date : 2024-07-03 DOI: 10.55730/1300-0098.3533
N. Gürses, Gülsüm Yeliz Saçlı, Salim Yüce
{"title":"On Vietoris’ hybrid number sequence","authors":"N. Gürses, Gülsüm Yeliz Saçlı, Salim Yüce","doi":"10.55730/1300-0098.3533","DOIUrl":"https://doi.org/10.55730/1300-0098.3533","url":null,"abstract":"","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141681033","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
Some Qualitative Results for Nonlocal Dynamic Boundary Value Problem of Thermistor Type 热敏电阻型非局部动态边界值问题的一些定性结果
IF 0.8 4区 数学
Turkish Journal of Mathematics Pub Date : 2024-07-03 DOI: 10.55730/1300-0098.3539
S. Georgiev, Mahammad Khuddush, Sanket Tikare
{"title":"Some Qualitative Results for Nonlocal Dynamic Boundary Value Problem of Thermistor Type","authors":"S. Georgiev, Mahammad Khuddush, Sanket Tikare","doi":"10.55730/1300-0098.3539","DOIUrl":"https://doi.org/10.55730/1300-0098.3539","url":null,"abstract":": This paper addresses the second-order nonlocal dynamic thermistor problem with two-point boundary conditions on time scales. Utilizing the fixed point theorems by Schaefer and Rus, we establish some sufficient conditions for the existence and uniqueness of solutions. Furthermore, we discuss the continuous dependence of solutions and four types of Ulam stability. We provide examples to support the applicability of our results","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141683088","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
Stacks in Einstein gravity 爱因斯坦引力中的堆栈
IF 0.8 4区 数学
Turkish Journal of Mathematics Pub Date : 2024-07-03 DOI: 10.55730/1300-0098.3534
Kadri .Ilker Berktav
{"title":"Stacks in Einstein gravity","authors":"Kadri .Ilker Berktav","doi":"10.55730/1300-0098.3534","DOIUrl":"https://doi.org/10.55730/1300-0098.3534","url":null,"abstract":"","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141683452","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 class of permutation trinomials over finite fields 关于有限域上的一类置换三项式
IF 0.8 4区 数学
Turkish Journal of Mathematics Pub Date : 2024-07-03 DOI: 10.55730/1300-0098.3540
Burcu GÜLMEZ TEMÜR, Buket Özkaya
{"title":"On a class of permutation trinomials over finite fields","authors":"Burcu GÜLMEZ TEMÜR, Buket Özkaya","doi":"10.55730/1300-0098.3540","DOIUrl":"https://doi.org/10.55730/1300-0098.3540","url":null,"abstract":"","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141681523","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
New oscillation criteria for first-order differential equations with general delayargument 具有一般延迟参数的一阶微分方程的新振荡准则
IF 0.8 4区 数学
Turkish Journal of Mathematics Pub Date : 2024-07-03 DOI: 10.55730/1300-0098.3537
E. R. Attia, Irena Jadlovská
{"title":"New oscillation criteria for first-order differential equations with general delayargument","authors":"E. R. Attia, Irena Jadlovská","doi":"10.55730/1300-0098.3537","DOIUrl":"https://doi.org/10.55730/1300-0098.3537","url":null,"abstract":"","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141681414","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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