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Turkish Journal of Mathematics最新文献

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Existence results for impulsive dynamic singular nonlinear Sturm-Liouville equations on infinite intervals 无限区间上脉冲动力奇异非线性Sturm-Liouville方程的存在性结果
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI: 10.55730/1300-0098.3461
BİLENDER PAŞAOĞLU ALLAHVERDİEV, HÜSEYİN TUNA, HAMLET ABDULLAOĞLU ISAYEV
{"title":"Existence results for impulsive dynamic singular nonlinear Sturm-Liouville equations on infinite intervals","authors":"BİLENDER PAŞAOĞLU ALLAHVERDİEV, HÜSEYİN TUNA, HAMLET ABDULLAOĞLU ISAYEV","doi":"10.55730/1300-0098.3461","DOIUrl":"https://doi.org/10.55730/1300-0098.3461","url":null,"abstract":"The purpose of this study is to investigate an impulsive dynamic singular nonlinear Sturm-Liouville problem on infinite intervals. The existence and uniqueness of the solutions of such problem will be investigated by considering Weyl's limit-circle case.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135866249","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
Modification of the sector theorem of Kondo-Tanaka Kondo-Tanaka扇形定理的修正
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI: 10.55730/1300-0098.3463
ERIC CHOI
{"title":"Modification of the sector theorem of Kondo-Tanaka","authors":"ERIC CHOI","doi":"10.55730/1300-0098.3463","DOIUrl":"https://doi.org/10.55730/1300-0098.3463","url":null,"abstract":"Kondo-Tanaka proved that if a rotationally symmetric plane $M_m$ is von Mangoldt or Cartan-Hadamard outside a compact set and has finite total curvature, then it has a sector with no pair of cut points. We show that the condition of finite total curvature can be removed. %The abstract should provide clear information about the research and the results obtained, and should not exceed 200 words. The abstract should not contain citations.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135865218","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
The application of Brzdek's fixed point theorem in the stability problem of the Drygas functional equation Brzdek不动点定理在Drygas泛函方程稳定性问题中的应用
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI: 10.55730/1300-0098.3462
MEHDI DEHGHANIAN, YAMIN SAYYARI
{"title":"The application of Brzdek's fixed point theorem in the stability problem of the Drygas functional equation","authors":"MEHDI DEHGHANIAN, YAMIN SAYYARI","doi":"10.55730/1300-0098.3462","DOIUrl":"https://doi.org/10.55730/1300-0098.3462","url":null,"abstract":"Using the Brzdek fixed point theorem, we establish the Hyers?Ulam stability problem of Drygas functional equations begin{equation} delta(x+y-z)+delta(x-y)+delta(-y-z)+delta(y)=delta(x-y-z)+delta(y-z)+delta(x+y)+delta(-y)nonumber end{equation} for all $x,y,zin A$.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135865219","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
Liouville-type theorem for one-dimensional porous medium systems with sources 一维有源多孔介质系统的liouville型定理
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI: 10.55730/1300-0098.3459
ANH TUAN DUONG
{"title":"Liouville-type theorem for one-dimensional porous medium systems with sources","authors":"ANH TUAN DUONG","doi":"10.55730/1300-0098.3459","DOIUrl":"https://doi.org/10.55730/1300-0098.3459","url":null,"abstract":"In this paper, we are concerned with the one-dimensional porous medium system with sources begin{align*} begin{cases}u_t-( u^m)_{xx} =a_{11}u^{p}+a_{12} u^rv^{r+m}, (x,t)in Jtimes Isubsetmathbb{R}times mathbb{R} v_t-(v^m)_{xx} =a_{21} u^{r+m}v^{r}+a_{22}v^{p},;(x,t)in Jtimes Isubset mathbb{R}times mathbb{R}, end{cases} end{align*} where $p=2r+m$, $m>1$, $r>0$. Under the conditions $a_{12}geq 0, a_{21}geq 0$, $a_{11}>0$, and $a_{22}>0$, we prove that the system does not possess any nontrivial nonnegative weak solution.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135865226","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 monoid of partial isometries of a cycle graph 关于循环图的部分等距的幺一元
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI: 10.55730/1300-0098.3460
VITOR H. FERNANDES, TANIA PAULISTA
{"title":"On the monoid of partial isometries of a cycle graph","authors":"VITOR H. FERNANDES, TANIA PAULISTA","doi":"10.55730/1300-0098.3460","DOIUrl":"https://doi.org/10.55730/1300-0098.3460","url":null,"abstract":"In this paper we consider the monoid $DPC_n$ of all partial isometries of an $n$-cycle graph $C_n$. We show that $DPC_n$ is the submonoid of the monoid of all oriented partial permutations on an $n$-chain whose elements are precisely all restrictions of a dihedral group of order $2n$. Our main aim is to exhibit a presentation of $DPC_n$. We also describe Green's relations of $DPC_n$ and calculate its cardinality and rank.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":"181 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135768916","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
A short note on a new approach to Rayleigh-Bénard-Chandrasekhar convection in weakly electrically conducting viscoelastic liquids 关于弱导电粘弹性液体中瑞利- b<s:1>纳德-钱德拉塞卡对流新方法的简短说明
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI: 10.55730/1300-0098.3466
HATİCE MUTİ
{"title":"A short note on a new approach to Rayleigh-Bénard-Chandrasekhar convection in weakly electrically conducting viscoelastic liquids","authors":"HATİCE MUTİ","doi":"10.55730/1300-0098.3466","DOIUrl":"https://doi.org/10.55730/1300-0098.3466","url":null,"abstract":": The onset of magnetoconvection (known as Rayleigh-Bénard-Chandrasekhar convection) in two relaxation time viscoelastic liquids is studied here without seeking explicit recourse to a normal stress formulation as is usually done in these studies. Magnetoconvection refers to the flow of fluid in the presence of both thermal gradients (Rayleigh-Bénard convection) and a magnetic field. When these two effects are combined, they can lead to interesting and complex patterns of fluid motion. Understanding magnetoconvection in viscoelastic liquids is crucial for various industrial and scientific applications. The hyperbolic-type of linear momentum equation is decomposed into two first-order equations in time by cleverly separating the viscoelastic effect from the other effects in a clever manner as reported in a recent paper. The results of Maxwell, Rivlin-Ericksen, Walters’ liquid B, and Newtonian liquids are obtained as limiting cases of the present study. This research contributes to the understanding of magnetoconvection in viscoelastic liquids by using a novel approach that decouples the viscoelastic effect from other influences. The results obtained shed light on the behaviour of various types of viscoelastic materials and provide valuable insights for practical applications in fields such as materials science, engineering, and geophysics.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135865213","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
Identities involving special functions from hypergeometric solution of algebraic equations 代数方程超几何解中涉及特殊函数的恒等式
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI: 10.55730/1300-0098.3464
JUAN LUIS GONZALEZ-SANTANDER
{"title":"Identities involving special functions from hypergeometric solution of algebraic equations","authors":"JUAN LUIS GONZALEZ-SANTANDER","doi":"10.55730/1300-0098.3464","DOIUrl":"https://doi.org/10.55730/1300-0098.3464","url":null,"abstract":"From the algebraic solution of $x^{m}-x+t=0$ for $m=2,3,4$ and the corresponding solution in terms of hypergeometric functions, we obtain a set of reduction formulas for hypergeometric functions. By differentiation and integration of these results, and applying other known reduction formulas of hypergeometric functions, we derive new reduction formulas of special functions as well as the calculation of some definite integrals in terms of elementary functions.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135865221","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
Adjunction greatest element to ordered hypersemigroups 附接有序超群的最大元
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI: 10.55730/1300-0098.3452
NIOVI KEHAYOPULU
{"title":"Adjunction greatest element to ordered hypersemigroups","authors":"NIOVI KEHAYOPULU","doi":"10.55730/1300-0098.3452","DOIUrl":"https://doi.org/10.55730/1300-0098.3452","url":null,"abstract":"As a continuation of the paper \"Adjunction Identity to Hypersemigroup\" in Turk J Math 2022; 46 (7): 2834--2853, it has been proved here that the adjunction of a greatest element to an ordered hypersemigroup is actually an embedding problem. The concept of pseudoideal has been introduced and has been proved that for each ordered hypersemigroup $S$ an ordered hypersemigroup $V$ having a greatest element ($poe$-hypersemigroup) can be constructed in such a way that there exists a pseudoideal $T$ of $S$ such that $S$ is isomorphic to $T$. If $S$ does not have a greatest element, then this can be regarded as the embedding of an ordered hypersemigroup in an ordered semigroup with greatest element.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135866262","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
Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$ ${cal O}({mathbb C}_{h}^{1vert1})$的扩展演算
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI: 10.55730/1300-0098.3456
SALİH ÇELİK
{"title":"Extended calculus on ${cal O}({mathbb C}_{h}^{1vert1})$","authors":"SALİH ÇELİK","doi":"10.55730/1300-0098.3456","DOIUrl":"https://doi.org/10.55730/1300-0098.3456","url":null,"abstract":"We give an extended calculus over the function algebra on $h$-deformed superplane. For this, we extend the $(h_1,h_2)$-deformed differential calculus on the $h$-deformed superplane by adding inner derivations. We reformulate the results with an $R$-matrix and present the tensor product realization of the wedge product. We also discuss Cartan calculus via a contraction.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":"89 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135865210","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
Fractional semilinear Neumann problem with critical nonlinearity 具有临界非线性的分数阶半线性Neumann问题
4区 数学
Turkish Journal of Mathematics Pub Date : 2023-09-25 DOI: 10.55730/1300-0098.3458
ZHENFENG JIN, HONGRUI SUN
{"title":"Fractional semilinear Neumann problem with critical nonlinearity","authors":"ZHENFENG JIN, HONGRUI SUN","doi":"10.55730/1300-0098.3458","DOIUrl":"https://doi.org/10.55730/1300-0098.3458","url":null,"abstract":"In this paper, we consider the following critical fractional semilinear Neumann problem begin{equation*} begin{cases} (-Delta)^{1/2}u+lambda u=u^{frac{n+1}{n-1}},~u>0quad&, mathrm{in} Omega, partial_nu{u}=0 &mathrm{on} partialOmega, end{cases} end{equation*} where $Omegasubsetmathbb{R}^n~(ngeq5)$ is a smooth bounded domain, $lambda>0$ and $nu$ is the outward unit normal to $partialOmega$. We prove that there exists a constant $lambda_0>0$ such that the above problem admits a minimal energy solution for $lambda<lambda_0$. Moreover, if $Omega$ is convex, we show that this solution is constant for sufficiently small $lambda$.","PeriodicalId":51206,"journal":{"name":"Turkish Journal of Mathematics","volume":"2014 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135865220","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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