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Hacettepe Journal of Mathematics and Statistics最新文献

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A numerical approach for a dynamical system of fractional infectious disease problem 分数传染病问题动态系统的数值方法
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1314440
Burcu Gürbüz, Veysel Fuat Hatipoğlu, Aytül Gökçe
{"title":"A numerical approach for a dynamical system of fractional infectious disease problem","authors":"Burcu Gürbüz, Veysel Fuat Hatipoğlu, Aytül Gökçe","doi":"10.15672/hujms.1314440","DOIUrl":"https://doi.org/10.15672/hujms.1314440","url":null,"abstract":"In this study, a dynamical system to explain a disease model with environmental stress in a general aspect is considered. The model is expressed by the standard differential equations and its Caputo fractional form. We describe a numerical approach based on the numerical technique of Adams-Bashforth-Moulton for the solution of the system of differential equations including the initial conditions. Besides, we indicate briefly the existence, uniqueness, and convergence of the technique. One of the subjects of the study is to contribute with a new design of the present technique to obtain numerical solutions to such problems in the literature which can be investigated for further approximations. Further, we provide the stability analysis around the coexistence equilibrium. Additionally, we illustrate the findings to show the behaviour of the system, time evolution, and the phase plane plots for the specific parameters.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"7 11","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139438833","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
Existence results for positive periodic solutions to first order neutral differential equations with distributed deviating arguments 具有分布式偏差参数的一阶中性微分方程正周期解的存在性结果
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1282490
T. Candan
{"title":"Existence results for positive periodic solutions to first order neutral differential equations with distributed deviating arguments","authors":"T. Candan","doi":"10.15672/hujms.1282490","DOIUrl":"https://doi.org/10.15672/hujms.1282490","url":null,"abstract":"We take into account the first order nonlinear neutral differential equation with distributed deviating arguments. \u0000 Using Krasnoselskii's fixed point theorem, we give some new criteria for the existence of positive periodic solutions to this equation. The theorems we have established are illustrated by an example.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"5 11","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139440322","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
Construction of a new generalization for n-polynomial convexity with their certain inequalities 构建 n 多项式凸性的新广义及其若干不等式
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1310861
M. Kadakal, I. Işcan, H. Kadakal
{"title":"Construction of a new generalization for n-polynomial convexity with their certain inequalities","authors":"M. Kadakal, I. Işcan, H. Kadakal","doi":"10.15672/hujms.1310861","DOIUrl":"https://doi.org/10.15672/hujms.1310861","url":null,"abstract":"In this paper, we first construct a new generalization of n-polynomial convex function. By making use of this construction, we derive certain inequalities for this new generalization and show that the first derivative in absolute value corresponds to a new class of n polynomial convexity. Also, we see that the obtained results in the paper while comparing \u0000with Hölder, Hölder-İşcan and power-mean, improved-power-mean integral inequalities show that the results give a better approach than the others. Finally, we conclude our paper with applications containing some means.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"80 24","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139440528","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
Generalized product-type operators between Bloch-type spaces 布洛赫型空间之间的广义积型算子
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1299653
Ebrahim Abbasi, Sepideh Nasresfahani̇
{"title":"Generalized product-type operators between Bloch-type spaces","authors":"Ebrahim Abbasi, Sepideh Nasresfahani̇","doi":"10.15672/hujms.1299653","DOIUrl":"https://doi.org/10.15672/hujms.1299653","url":null,"abstract":"In this paper, we consider generalized product type operators D*nuCϕ and T*n_{u1,u2,ϕ}. Then we \u0000provide several characterizations, as equivalent statements, for the boundedness and compactness of these \u0000operators between Bloch type spaces Bα(U), for all 0 < α < ∞.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"5 11","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139438891","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 algorithms for solving pseudo-monotone variational inequalities in Banach spaces 求解巴拿赫空间中伪单调变分不等式的新算法
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1228124
G. Zamani Eskandani, M. Raei̇si̇, R. Lotfi̇kar
{"title":"New algorithms for solving pseudo-monotone variational inequalities in Banach spaces","authors":"G. Zamani Eskandani, M. Raei̇si̇, R. Lotfi̇kar","doi":"10.15672/hujms.1228124","DOIUrl":"https://doi.org/10.15672/hujms.1228124","url":null,"abstract":"In this paper, we introduce new algorithms for finding a solution of a variational \u0000inequality problem involving pseudo-monotone operator which is also a fixed point \u0000of a Bregman relatively nonexpansive mapping in p-uniformly convex and uniformly \u0000smooth Banach spaces that are more general than Hilbert spaces. We prove weak \u0000and strong convergence theorems for proposed algorithms. Finally, we give some \u0000numerical experiments for supporting our main results.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"9 12","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139440355","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
Finite-time property of a mechanical viscoelastic system with nonlinear boundary conditions on corner-Sobolev spaces 角-索博列夫空间上具有非线性边界条件的机械粘弹性系统的有限时间特性
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1286267
Morteza Koozehgar Kalleji
{"title":"Finite-time property of a mechanical viscoelastic system with nonlinear boundary conditions on corner-Sobolev spaces","authors":"Morteza Koozehgar Kalleji","doi":"10.15672/hujms.1286267","DOIUrl":"https://doi.org/10.15672/hujms.1286267","url":null,"abstract":"In this article, we deal with the initial boundary value problem for \u0000a viscoelastic system related to the quasilinear parabolic equation \u0000with nonlinear boundary source term on a manifold $mathbb{M}$ with \u0000corner singularities. We prove that, under certain conditions on \u0000relaxation function $g$, any solution $u$ in the corner-Sobolev \u0000space \u0000$mathcal{H}^{1,(frac{N-1}{2},frac{N}{2})}_{partial^{0}mathbb{M}}(mathbb{M})$ \u0000blows up in finite time. The estimates of the life-span of solutions \u0000are also given.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"6 4","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139439317","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 results over Zappa-Szep products via a recent semigroup 通过最近的半群实现扎帕-斯泽普乘积的新结果
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1085952
Nurten URLU ÖZALAN
{"title":"New results over Zappa-Szep products via a recent semigroup","authors":"Nurten URLU ÖZALAN","doi":"10.15672/hujms.1085952","DOIUrl":"https://doi.org/10.15672/hujms.1085952","url":null,"abstract":"In [17], the authors established a new semigroup N as an extension of both Rees matrix and completely zero-simple semigroups. In this paper, by taking into account the Zappa-Sz'{e}p product obtained by special subsemigroups of N, we will expose some new distinguishing theoretical results on this product.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"7 6","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139439359","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 non-regular semigroups: $lambda$-semidirect products, Zappa-Szép products and representations 关于非正则半群：$lambda$-半间接积、Zappa-Szép 积和表征
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1189391
Baddi-Ul Zaman
{"title":"On non-regular semigroups: $lambda$-semidirect products, Zappa-Szép products and representations","authors":"Baddi-Ul Zaman","doi":"10.15672/hujms.1189391","DOIUrl":"https://doi.org/10.15672/hujms.1189391","url":null,"abstract":"This article encompasses the study of non-regular semigroups. First, we show that the $lambda$-semidirect product $M rtimes^{lambda} W$ of a left $P$-Ehresmann semigroup $M$ and a left restriction semigroup $W$ is a left $P$-Ehresmann semigroup. We explore the behavior of generalized Green's relations on $M rtimes^{lambda} W$, and investigate some properties of $M rtimes^{lambda} W$. Second, the Zappa-Szép product of a right Ehresmann semigroup and its distinguished semilattice is studied. Lastly, the theory of representations of left Ehresmann semigroups with zero via homomorphisms of left Ehresmann semigroups with zero into Clifford restriction semigroups with zero is presented.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"6 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139439535","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
Torsion pairs and related modules over trivial ring extensions 琐环扩展上的扭转对和相关模块
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1272122
Lixin Mao
{"title":"Torsion pairs and related modules over trivial ring extensions","authors":"Lixin Mao","doi":"10.15672/hujms.1272122","DOIUrl":"https://doi.org/10.15672/hujms.1272122","url":null,"abstract":"Let $Rltimes M$ be a trivial extension of a ring $R$ by an $R$-$R$-bimodule $M$. We first study how to construct torsion pairs over $Rltimes M$ from torsion pairs over $R$. Some characterizations of finitely generated (presented) modules, flat modules and coherent rings relative to a torsion pair over $Rltimes M$ are obtained. Then we discuss the transfers of torsion pairs over $Rltimes M$ to $R$. Finally, some applications are given in Morita context rings.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"4 9","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139439550","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 boundedness and compactness of extended Ces`aro composition operators between weighted Bloch-type spaces 论加权布洛赫型空间之间的扩展塞斯/卡罗组成算子的有界性和紧凑性
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2024-01-10 DOI: 10.15672/hujms.1197627
Lien VUONG LAM, Thai THUAN QUANG
{"title":"On the boundedness and compactness of extended Ces`aro composition operators between weighted Bloch-type spaces","authors":"Lien VUONG LAM, Thai THUAN QUANG","doi":"10.15672/hujms.1197627","DOIUrl":"https://doi.org/10.15672/hujms.1197627","url":null,"abstract":"Let $psi in H(BB_n),$ the space of all holomorphic functions on the unit ball $BB_n$ of $C^n,$ $varphi = (varphi_1, ldots, varphi_n) in S(BB_n)$ the set of holomorphic self-maps of $BB_n.$ Let $C_{psi, varphi}: mathcal B_{nu}$ (and $ mathcal B_{nu,0}$) $to mathcal B_{mu} $ (and $ mathcal B_{mu,0}$) be weighted extended Ces`aro operators induced \u0000 by products of the extended Ces`aro operator $ C_varphi $ and integral operator $T_psi.$ \u0000 In this paper, we characterize the boundedness and compactness of $ C_{psi,varphi} $ via the estimates for either $ |varphi| $ or $ |varphi_k| $ textit{for some $ kin {1,ldots,n}. $} At the same time, we also give the asymptotic estimates of the norms of these operators.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"10 8","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139439813","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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