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Afrika Matematika最新文献

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Investigation for pseudo-almost periodic functions: generalizations and applications to differential equations 伪近周期函数探究：微分方程的一般化和应用
IF 0.9
Afrika Matematika Pub Date : 2024-12-16 DOI: 10.1007/s13370-024-01220-6
Dhaou C. Lassoued, George E. Chatzarakis
{"title":"Investigation for pseudo-almost periodic functions: generalizations and applications to differential equations","authors":"Dhaou C. Lassoued,&nbsp;George E. Chatzarakis","doi":"10.1007/s13370-024-01220-6","DOIUrl":"10.1007/s13370-024-01220-6","url":null,"abstract":"<div><p>In this paper, we revisit pseudo-almost periodic and Stepanov-almost periodic functions. We study their properties and show in particular some composition theorems and fundamental results related to these classes. Some illustrating applications and concrete examples on existence and uniqueness of pseudo-almost periodic solutions to differential equations are given.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826135","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 climate-based metapopulation malaria model with human travel and treatment
IF 0.9
Afrika Matematika Pub Date : 2024-12-06 DOI: 10.1007/s13370-024-01219-z
Baaba A. Danquah, Faraimunashe Chirove, Jacek Banasiak
{"title":"A climate-based metapopulation malaria model with human travel and treatment","authors":"Baaba A. Danquah,&nbsp;Faraimunashe Chirove,&nbsp;Jacek Banasiak","doi":"10.1007/s13370-024-01219-z","DOIUrl":"10.1007/s13370-024-01219-z","url":null,"abstract":"<div><p>A climate-based metapopulation malaria model is formulated by incorporating human travel between zones with varying climatic factors, effective and counterfeit drug treatments, and time-periodic parameters for the mosquito population to understand the effect of human travel on malaria transmission. We study the existence, uniqueness, and stability of positive periodic solutions in the model and carry out numerical simulations for three climatic zones of Ghana. The study shows that the climate effects introduce fluctuations in the solutions, while human travel between zones affects the disease prevalence in each zone and the local transmission dynamics of malaria. We observed different outcomes depending on various restrictions imposed on human travels. The study also suggests that it is essential to ban the sale, importation or manufacture of counterfeit drugs and punish the offenders to ensure the effective use of high-quality drugs in the population.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142778540","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
New improvements of some classical inequalities 一些经典不等式的新改进
IF 0.9
Afrika Matematika Pub Date : 2024-11-26 DOI: 10.1007/s13370-024-01218-0
Abdelmajid Gourty, Mohamed Amine Ighachane, Fuad Kittaneh
{"title":"New improvements of some classical inequalities","authors":"Abdelmajid Gourty,&nbsp;Mohamed Amine Ighachane,&nbsp;Fuad Kittaneh","doi":"10.1007/s13370-024-01218-0","DOIUrl":"10.1007/s13370-024-01218-0","url":null,"abstract":"<div><p>In this paper, we establish an inequality for scalars, which we then apply to refine some classical inequalities for inner product and numerical raduis. For example, we establish that for any <span>(mathcal {E}in mathcal {B}(mathcal {H}),)</span> <span>(u,vin mathcal {H},)</span> and <span>(0le theta le 1)</span>, </p><div><div><span>$$begin{aligned} |langle mathcal {E} u,vrangle |^2&amp;le mathcal {U}_{(n,xi )}left( eta ,|langle mathcal {E}u,vrangle |,sqrt{leftlangle |mathcal {E}|^{2 theta } u,urightrangle leftlangle left| mathcal {E}^*right| ^{2(1-theta )} v, vrightrangle }right) &amp;le leftlangle |mathcal {E}|^{2 theta } u,urightrangle leftlangle left| mathcal {E}^*right| ^{2(1-theta )} v, vrightrangle . end{aligned}$$</span></div></div><p>Moreover, we have <span>(left( mathcal {U}_{(n,xi )}left( eta ,|langle mathcal {E}u,vrangle |,sqrt{leftlangle |mathcal {E}|^{2 theta } u,urightrangle leftlangle left| mathcal {E}^*right| ^{2(1-theta )} v, vrightrangle }right) right) _{n geqslant 0})</span> is an increasing sequence satisfying </p><div><div><span>$$begin{aligned} lim limits _{n rightarrow +infty } mathcal {U}_{(n,xi )}left( eta ,|langle mathcal {E}u,vrangle |,sqrt{leftlangle |mathcal {E}|^{2 theta } u,urightrangle leftlangle left| mathcal {E}^*right| ^{2(1-theta )} v, vrightrangle }right) = leftlangle |mathcal {E}|^{2 theta } u,urightrangle leftlangle left| mathcal {E}^*right| ^{2(1-theta )} v, vrightrangle , end{aligned}$$</span></div></div><p>which presents a novel refinement of the well-known mixed Schwartz inequality. Our results extend and refine well-established inequalities found in the literature.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714503","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
Certain properties of Bazilevi(breve{c}) type univalent class defined through subordination 通过从属关系定义的 Bazilevi（breve{c}）型单价类的某些性质
IF 0.9
Afrika Matematika Pub Date : 2024-10-10 DOI: 10.1007/s13370-024-01216-2
T. Panigrahi, S. Jena, R. M. El-Ashwah
{"title":"Certain properties of Bazilevi(breve{c}) type univalent class defined through subordination","authors":"T. Panigrahi,&nbsp;S. Jena,&nbsp;R. M. El-Ashwah","doi":"10.1007/s13370-024-01216-2","DOIUrl":"10.1007/s13370-024-01216-2","url":null,"abstract":"<div><p>In the present paper with the aid of subordination, the authors introduce two subclasses of analytic functions denoted by <span>({mathcal {S}}_{alpha , beta }(lambda )~~(alpha ,~beta ,~ lambda in {mathbb {R}},~alpha &lt;1, beta &gt;1, lambda ge 0))</span> and <span>({mathcal {G}}(lambda ))</span> defined in the open unit disk <span>({mathbb {D}}:={z in {mathbb {C}}:|z|&lt;1})</span>. These subclasses are defined through a certain univalent function <span>({mathcal {S}}_{alpha , beta })</span> and the generating function of the Gregory coefficients <span>({mathcal {G}}(lambda ))</span>. We determine upper bounds of the initial coefficients, Fekete–Szeg<span>(ddot{o})</span> functional, Hankel determinant of second order, logarithmic coefficients and inverse coefficients of the functions belongs to these subclasses. Some of the corollaries of the main results are also pointed out.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01216-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411218","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
Characterizations of (mathcal{Q}mathcal{C})-hyperideals in semihypergroups 半超群中的(mathcal{Q}mathcal{C})-超次数的特征
IF 0.9
Afrika Matematika Pub Date : 2024-09-27 DOI: 10.1007/s13370-024-01215-3
Shahnawaz Ali, Mohammad Y. Abbasi, Kostaq Hila, Sabahat A. Khan
{"title":"Characterizations of (mathcal{Q}mathcal{C})-hyperideals in semihypergroups","authors":"Shahnawaz Ali,&nbsp;Mohammad Y. Abbasi,&nbsp;Kostaq Hila,&nbsp;Sabahat A. Khan","doi":"10.1007/s13370-024-01215-3","DOIUrl":"10.1007/s13370-024-01215-3","url":null,"abstract":"<div><p>In this article, we introduce the notion of quasi covered hyperideal (QC-hyperideal) in semihypergroups. The greatest quasi covered hyperideal and the quasi hyperbase of a semihypergroup are studied. We discuss some attributes of these hyperideals, as well as their union and intersection properties and their characterizations in semihypergroups and regular semihypergroups. Finally, we establish a relationship between covered hyperideals, the greatest hyperideal, QC-hyperideals, and the quasi hyperbase with the greatest quasi covered hyperideal.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414674","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
The Diophantine equation (T_l=mathcal {U}_n -mathcal {U}_m) Diophantine equation （T_l=mathcal {U}_n -mathcal {U}_m)
IF 0.9
Afrika Matematika Pub Date : 2024-09-21 DOI: 10.1007/s13370-024-01214-4
Pagdame Tiebekabe, Kossi Richmond Kakanou, Ismaïla Diouf
{"title":"The Diophantine equation (T_l=mathcal {U}_n -mathcal {U}_m)","authors":"Pagdame Tiebekabe,&nbsp;Kossi Richmond Kakanou,&nbsp;Ismaïla Diouf","doi":"10.1007/s13370-024-01214-4","DOIUrl":"10.1007/s13370-024-01214-4","url":null,"abstract":"<div><p>In this paper, we have determined the necessary and sufficient conditions so that Tribonacci numbers can be written as the differences of two elements of generalized Lucas sequences. We have also shown that the number of solutions of the equation in the title is finite. For application, we have determined the Tribonacci numbers written as the difference of two Fibonacci numbers.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412939","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 numerical block hybrid algorithm for solving systems of first-order initial value problems 求解一阶初值问题系统的数值块混合算法
IF 0.9
Afrika Matematika Pub Date : 2024-09-06 DOI: 10.1007/s13370-024-01213-5
Nathaniel Mahwash Kamoh, Bwebum Cleofas Dang, Joshua Sunday
{"title":"A numerical block hybrid algorithm for solving systems of first-order initial value problems","authors":"Nathaniel Mahwash Kamoh,&nbsp;Bwebum Cleofas Dang,&nbsp;Joshua Sunday","doi":"10.1007/s13370-024-01213-5","DOIUrl":"10.1007/s13370-024-01213-5","url":null,"abstract":"<div><p>Attracted by the importance of ordinary differential equations in many physical situations like, engineering, business and health care in particular, an effective and successful numerical algorithm is needed in order to explain many of the ambiguities about the phenomena in many fields of human endeavor. In this study, an interpolation and collocation technique are adopted in deriving a Block Hybrid Algorithm (BHA) for the numerical solution of systems of first-order Initial Value Problems (IVPs). To derive the BHA, the shifted Legendre polynomials was interpolated at two selected points and its derivative was collocated at seven selected points. This led to a continuous scheme which was eventually evaluated at some points to obtain the discrete schemes used in the numerical computation. Furthermore, some illustrative examples are introduced to show the applicability and validity of the proposed algorithm. It was observed that the proposed algorithm has the desired rate of convergence to the exact solution. The suggested method utilizes data at points other than the step numbers which is viewed as an important landmark; another major advantage of this algorithm is that it possesses remarkably small error constants (Table 2). Some graphical representations of the exact and numerical results are presented to show how accurate the numerical results agree with the exact solutions.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01213-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410283","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
Local existence and blow up for the wave equation with nonlinear logarithmic source term and nonlinear dynamical boundary conditions combined with distributed delay 带有非线性对数源项和非线性动力学边界条件的波方程的局部存在性和炸毁，以及分布式延迟
IF 0.9
Afrika Matematika Pub Date : 2024-08-24 DOI: 10.1007/s13370-024-01212-6
Abdelbaki Choucha, Salah Boulaaras, Mohammad Alnegga
{"title":"Local existence and blow up for the wave equation with nonlinear logarithmic source term and nonlinear dynamical boundary conditions combined with distributed delay","authors":"Abdelbaki Choucha,&nbsp;Salah Boulaaras,&nbsp;Mohammad Alnegga","doi":"10.1007/s13370-024-01212-6","DOIUrl":"10.1007/s13370-024-01212-6","url":null,"abstract":"<div><p>In this paper we highlight a type of hyperbolic equation relating the logarithmic source term with distributed delay and dynamic boundary condition. We get, under comfortable primary data is the weak solution to local existence. The results of the solutions were found using the Faydo–Galerkin method and Schoder’s fixed point theorem. Then, the minimum blow-up result was studied. Our work is an extension of some previous work.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 3","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413370","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
Multilevel wavelet packets in sobolev space over local fields of positive characteristic 在正特征局部域上的索波列夫空间中的多级小波包
IF 0.9
Afrika Matematika Pub Date : 2024-08-17 DOI: 10.1007/s13370-024-01211-7
Ashish Pathak, Guru P. Singh
{"title":"Multilevel wavelet packets in sobolev space over local fields of positive characteristic","authors":"Ashish Pathak,&nbsp;Guru P. Singh","doi":"10.1007/s13370-024-01211-7","DOIUrl":"10.1007/s13370-024-01211-7","url":null,"abstract":"<div><p>The concepts of multiresolution analysis (MRA) and wavelets in Sobolev space over local fields of positive characteristic (<span>(H^s(mathbb {K}))</span>) are developed by Pathak and Singh [9]. In this paper, we constructed wavelet packets in Sobolev space <span>(H^s(mathbb {K}))</span> and derived their orthogonality at each level. By using convolution theory, an example of wavelet packets in <span>(H^s(mathbb {K}))</span> is presented</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 3","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412168","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
Perov type T-contractive mappings on cone b-metric spaces with generalized c-distance 具有广义c-距离的锥体b-度量空间上的佩罗夫型T-收缩映射
IF 0.9
Afrika Matematika Pub Date : 2024-08-14 DOI: 10.1007/s13370-024-01210-8
Talat Nazir, Mujahid Abbas, Sergei Silvestrov
{"title":"Perov type T-contractive mappings on cone b-metric spaces with generalized c-distance","authors":"Talat Nazir,&nbsp;Mujahid Abbas,&nbsp;Sergei Silvestrov","doi":"10.1007/s13370-024-01210-8","DOIUrl":"10.1007/s13370-024-01210-8","url":null,"abstract":"<div><p>The aim of this paper is to study the sufficient conditions for the existence of fixed points of Perov type <i>T</i>-contractive mappings in the setup of complete cone <i>b</i>-metric space associated with generalized <i>c</i>-distance. Some examples are presented to support our main results and concepts defined herein. The results proved in the paper extend and generalize various well known results in the existing literature.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 3","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01210-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411766","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
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