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Afrika Matematika最新文献

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An analysis of the nonlinearizable classes of Emden-Liénard equations 埃姆登-李纳方程的非线性类分析
IF 0.9
Afrika Matematika Pub Date : 2025-03-14 DOI: 10.1007/s13370-025-01279-9
M. Ahmed, A. H. Kara
{"title":"An analysis of the nonlinearizable classes of Emden-Liénard equations","authors":"M. Ahmed,&nbsp;A. H. Kara","doi":"10.1007/s13370-025-01279-9","DOIUrl":"10.1007/s13370-025-01279-9","url":null,"abstract":"<div><p>We present a general method to construct first integrals for some classes of the well known second-order ordinary differential equations, viz., the Emden and Liénard classes of equations. The approach does not require a knowledge of a Lagrangian but, rather, uses the ‘multiplier approach’ [1, 2]. It is then shown how a study of the invariance properties and conservation laws are used to ‘twice’ reduce the equations to solutions. In this paper, we restrict our work to the nonlinearizable cases.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01279-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612082","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convergence analysis of a resolvent-free method for solving inclusion problems beyond Co-coercivity 求解超越共矫顽力的包含问题的无解析方法的收敛性分析
IF 0.9
Afrika Matematika Pub Date : 2025-03-13 DOI: 10.1007/s13370-025-01275-z
Victor Amarachi Uzor, Oluwatosin Temitope Mewomo
{"title":"Convergence analysis of a resolvent-free method for solving inclusion problems beyond Co-coercivity","authors":"Victor Amarachi Uzor,&nbsp;Oluwatosin Temitope Mewomo","doi":"10.1007/s13370-025-01275-z","DOIUrl":"10.1007/s13370-025-01275-z","url":null,"abstract":"<div><p>In this paper, we introduce a new self-adaptive Tseng-type method for solving inclusion problems. Our method by-passes the co-coercivity condition and does not require any computation of the resolvent (or metric projection) operator. While incorporating the golden ratio technique, we prove weak, strong and <span>(R-)</span>Linear convergence of our method, and apply our result to solving the critical point problems. Furthermore, we conduct computational experiments to illustrate the performance of our iterative scheme over similar methods in literature.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01275-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the second Hankel determinant of certain subclass of bi-univalent functions
IF 0.9
Afrika Matematika Pub Date : 2025-03-13 DOI: 10.1007/s13370-025-01269-x
Waggas Galib Atshan, Ibtihal Abdul Ridha Rahman, Sibel Yalçın
{"title":"On the second Hankel determinant of certain subclass of bi-univalent functions","authors":"Waggas Galib Atshan,&nbsp;Ibtihal Abdul Ridha Rahman,&nbsp;Sibel Yalçın","doi":"10.1007/s13370-025-01269-x","DOIUrl":"10.1007/s13370-025-01269-x","url":null,"abstract":"<div><p>In this paper, we define subclass <span>({mathfrak {D}}_{Sigma }(delta ,beta ,alpha ,t))</span> of the function class <span>(Sigma )</span> of bi-univalent functions defined in the open unit disk in the complex plane. Using Chebyshev polynomials, we have investigated the upper bound for the second Hankel determinant for this function class.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on the transport of (near-)field structures
IF 0.9
Afrika Matematika Pub Date : 2025-02-24 DOI: 10.1007/s13370-025-01276-y
Leandro Boonzaaier, Sophie Marques
{"title":"A note on the transport of (near-)field structures","authors":"Leandro Boonzaaier,&nbsp;Sophie Marques","doi":"10.1007/s13370-025-01276-y","DOIUrl":"10.1007/s13370-025-01276-y","url":null,"abstract":"<div><p>This paper addresses the question: given a scalar group, can we determine all the additions that transform this scalar group into a (near-)field? A key approach to addressing this problem involves transporting (near-)field structures via multiplicative automorphisms. We compute the set of continuous multiplicative automorphisms of the real and complex fields and analyze their structures. Additionally, we characterize the endo-bijections on the scalar group that define these additions.\u0000</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01276-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143475260","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On some properties of cohesive frames
IF 0.9
Afrika Matematika Pub Date : 2025-02-17 DOI: 10.1007/s13370-025-01263-3
Lindani Cele, Simo S. Mthethwa
{"title":"On some properties of cohesive frames","authors":"Lindani Cele,&nbsp;Simo S. Mthethwa","doi":"10.1007/s13370-025-01263-3","DOIUrl":"10.1007/s13370-025-01263-3","url":null,"abstract":"<div><p>The main aim of this note is to introduce and study the properties of cohesive frames. We study the extent to which some classical results may be extended to a larger terrain of pointfree topology and point out some interesting observations and results in this context. In particular, we show that the class of all cohesive frames contains all nontrivial pointless connected frames; a result that has no interpretation in classical topology. We introduce the notion of strong cohesion and study conditions under which cohesive frames are strongly cohesive.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01263-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143423056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New sufficient conditions for p-valent functions
IF 0.9
Afrika Matematika Pub Date : 2025-02-17 DOI: 10.1007/s13370-025-01264-2
Hatun Özlem Güney, Sevtap Sümer, Shigeyoshi Owa
{"title":"New sufficient conditions for p-valent functions","authors":"Hatun Özlem Güney,&nbsp;Sevtap Sümer,&nbsp;Shigeyoshi Owa","doi":"10.1007/s13370-025-01264-2","DOIUrl":"10.1007/s13370-025-01264-2","url":null,"abstract":"<div><p>Let <span>(mathcal {A}_{p})</span> be the class of functions <i>f</i>(<i>z</i>) of the form </p><div><div><span>$$ f(z)=z^{p}+a_{p+1}z^{p+1}+a_{p+2}z^{p+2}+cdots , (pin mathbb {N}={1,2,3,ldots }) $$</span></div></div><p>that are analytic in the open unit disc <span>(mathbb {U}=big { zin mathbb {C}: |z| &lt;1big })</span>. For <span>(f(z)in mathcal {A}_{p})</span>, Nunokawa considered some conditions such that <i>f</i>(<i>z</i>) is <span>(p-)</span>valent in <span>(mathbb {U})</span>. Applying the results by Nunokawa, we discuss some interesting properties for functions <span>(f(z)in mathcal {A}_{p})</span>. Also, we give some examples for our results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01264-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143423115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On metric dimension of symmetrical planer pyramid related graphs 论对称平面金字塔相关图形的度量维度
IF 0.9
Afrika Matematika Pub Date : 2025-02-12 DOI: 10.1007/s13370-025-01253-5
Saqib Nazeer, Muhammad Hussain, Atiq ur Rehman, Ali Hasan Ali
{"title":"On metric dimension of symmetrical planer pyramid related graphs","authors":"Saqib Nazeer,&nbsp;Muhammad Hussain,&nbsp;Atiq ur Rehman,&nbsp;Ali Hasan Ali","doi":"10.1007/s13370-025-01253-5","DOIUrl":"10.1007/s13370-025-01253-5","url":null,"abstract":"<div><p>Robotics and networking have transformed the world in numerous ways. Nowadays, computer networks play a vital role not only in business, education, and medical treatments, but also in entertainment. Graph theory has wide-ranging applications in robotics, tricky games, computer networking, map formations, image processing, Loran or Sonar models, pattern recognition, artificial intelligence, medical networks (such as oxygen or other treatment wiring), navigation problems, electrical networks, and more. Metric dimension has left its mark on artificial intelligence, map navigation, image recognition, pattern formation, facility location problems, and resource management (cost, time, labor, and resources). Robots are used in almost every field of life, including saving lives in the medical field, and metric dimension plays a crucial role in ensuring their accuracy. In this recent work, we enhance the concept of reflection of graphs and introduce new graphs, which we have called horizontal reflection graphs. We also compute the metric dimension of <span>(h-Vrl(mid(Tower_{p})))</span> and h-Vrl(Middle tower Path Graph) and found it to be constant.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01253-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143388746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Partitioning zero-divisor graphs of finite commutative rings into global defensive alliances 将有限交换环的零因子图划分为全局防御联盟
IF 0.9
Afrika Matematika Pub Date : 2025-02-11 DOI: 10.1007/s13370-025-01255-3
Driss Bennis, Brahim El Alaoui
{"title":"Partitioning zero-divisor graphs of finite commutative rings into global defensive alliances","authors":"Driss Bennis,&nbsp;Brahim El Alaoui","doi":"10.1007/s13370-025-01255-3","DOIUrl":"10.1007/s13370-025-01255-3","url":null,"abstract":"<div><p>For a commutative ring <i>R</i> with identity, the zero-divisor graph of <i>R</i>, denoted <span>(Gamma (R))</span>, is the simple graph whose vertices are the nonzero zero-divisors of <i>R</i> where two distinct vertices <i>x</i> and <i>y</i> are adjacent if and only if <span>(xy=0)</span>. In this paper, we are interested in partitioning the vertex set of <span>(Gamma (R))</span> into global defensive alliances for a finite commutative ring <i>R</i>. This problem has been well investigated in graph theory. Here we connected it with the ring theoretical context. We characterize various commutative finite rings for which the zero-divisor graph is partitionable into global defensive alliances. We also give several examples to illustrate the scopes and limits of our results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143388714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some results on primary filters in BL-algebras
IF 0.9
Afrika Matematika Pub Date : 2025-02-11 DOI: 10.1007/s13370-025-01252-6
Javad Moghaderi
{"title":"Some results on primary filters in BL-algebras","authors":"Javad Moghaderi","doi":"10.1007/s13370-025-01252-6","DOIUrl":"10.1007/s13370-025-01252-6","url":null,"abstract":"<div><p>In this article, with the aim of further investigating <i>BL</i>-algebras, the concepts of a prime less filter is introduced and discussed. Also, for the faster study of prime less filters in <i>BL</i>-algebras, some equivalent conditions are obtained. We prove some relations between this filter and other types of filters in <i>BL</i>-algebras. Also, some results that proven for prime filters in <i>BL</i>-algebras, to the case of prime less filters are proven. In this way, we find new properties for the primary filters in <i>BL</i>-algebras. Also, the notions of prime less <i>BL</i>-algebras (<i>Pls</i>–<i>BL</i>-algebras) are introduced and investigated.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143388713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Two-fluid cosmological models in five-dimensional Kaluza–Klein spacetime
IF 0.9
Afrika Matematika Pub Date : 2025-02-09 DOI: 10.1007/s13370-025-01277-x
Sanjay Oli, B. Santhosh
{"title":"Two-fluid cosmological models in five-dimensional Kaluza–Klein spacetime","authors":"Sanjay Oli,&nbsp;B. Santhosh","doi":"10.1007/s13370-025-01277-x","DOIUrl":"10.1007/s13370-025-01277-x","url":null,"abstract":"<div><p>In this paper, two-fluid cosmological models have been investigated in five-dimensional Kaluza–Klein spacetime, where one fluid represents the barotropic fluid of the universe and another fluid is chosen to model dark energy. The Einstein’s field equations have been solved for interacting as well as the non-interacting two-fluid scenario and physical behaviour of parameters are discussed in view of results obtained from current observations.The cosmological models presented in the article are best described by quintessence dark energy cosmological models of the universe. The total density parameter (<span>(varOmega )</span>) value remains the same either two-fluid are interacting or non-interacting. Our models are consistent with the current lambda-CDM model of the universe and show that <span>(qto -1)</span> and <span>(jleft(tright)to 1)</span> as <span>(tto infty )</span>.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143370034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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