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Afrika Matematika最新文献

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Global nonexistence of solution for a nonlinear Klein–Gordon equation with strong damping, distributed delay and source terms 具有强阻尼、分布延迟和源项的非线性Klein-Gordon方程解的全局不存在性
IF 1.1
Afrika Matematika Pub Date : 2023-11-10 DOI: 10.1007/s13370-023-01137-6
Fares Yazid, Djamel Ouchenane, Fatima Siham Djeradi, Rafik Guefaifia
{"title":"Global nonexistence of solution for a nonlinear Klein–Gordon equation with strong damping, distributed delay and source terms","authors":"Fares Yazid,&nbsp;Djamel Ouchenane,&nbsp;Fatima Siham Djeradi,&nbsp;Rafik Guefaifia","doi":"10.1007/s13370-023-01137-6","DOIUrl":"10.1007/s13370-023-01137-6","url":null,"abstract":"<div><p>In the present work, we consider a nonlinear Klein–Gordon equation with strong damping, distributed delay and source terms. Under suitable conditions, we prove the blow-up result of solutions. Our result is an extension of many other works in this area.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134795971","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
Wavelets direct method for solving volterra integral-algebraic equations 求解volterra积分代数方程的小波直接法
IF 1.1
Afrika Matematika Pub Date : 2023-11-09 DOI: 10.1007/s13370-023-01135-8
S. Sohrabi
{"title":"Wavelets direct method for solving volterra integral-algebraic equations","authors":"S. Sohrabi","doi":"10.1007/s13370-023-01135-8","DOIUrl":"10.1007/s13370-023-01135-8","url":null,"abstract":"<div><p>This paper deals with the numerical solutions for Volterra type integral-algebraic equations (IAEs) via a direct method using Legendre wavelets (LWs). Using the operational matrix associated with Legendre wavelets the problem is transformed to a linear system of algebraic equations. This approach does not use any variable transformations, so all calculations can be easily implemented. Convergence rate and numerical examples are presented to illustrate the efficiency and applicability of the method.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134795729","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
Summation formulas of hyperharmonic numbers with their generalizations 超调和数的求和公式及其推广
IF 1.1
Afrika Matematika Pub Date : 2023-11-08 DOI: 10.1007/s13370-023-01131-y
Takao Komatsu, Rusen Li
{"title":"Summation formulas of hyperharmonic numbers with their generalizations","authors":"Takao Komatsu,&nbsp;Rusen Li","doi":"10.1007/s13370-023-01131-y","DOIUrl":"10.1007/s13370-023-01131-y","url":null,"abstract":"<div><p>In 1990, Spieß  gave some identities of harmonic numbers including the types <span>(sum _{ell =1}^nell ^k H_ell )</span>, <span>(sum _{ell =1}^nell ^k H_{n-ell })</span> and <span>(sum _{ell =1}^nell ^k H_ell H_{n-ell })</span>. In this paper, we derive several formulas of hyperharmonic numbers including <span>(sum _{ell =0}^{n} {ell }^{p} h_{ell }^{(r)} h_{n-ell }^{(s)})</span> and <span>(sum _{ell =0}^n ell ^{p}left( h_{ell }^{(r)}right) ^{2})</span>. Some more formulas of generalized hyperharmonic numbers are also shown.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134878273","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: 1
Some inequalities involving Fourier transforms 一些涉及傅里叶变换的不等式
IF 1.1
Afrika Matematika Pub Date : 2023-11-02 DOI: 10.1007/s13370-023-01124-x
M. El Hamma, R. Daher, A. Mahfoud, H. Lahmadi
{"title":"Some inequalities involving Fourier transforms","authors":"M. El Hamma,&nbsp;R. Daher,&nbsp;A. Mahfoud,&nbsp;H. Lahmadi","doi":"10.1007/s13370-023-01124-x","DOIUrl":"10.1007/s13370-023-01124-x","url":null,"abstract":"<div><p>We obtain new inequalities for the Fourier transform in the space <span>(textrm{L}^{p}(mathbb {R}^{n}))</span>,  <span>(1&lt;ple 2)</span>, using a generalized spherical mean operator for proving the estimates in certain classes of functions characterized by a generalized continuity modulus.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-023-01124-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134878222","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 Caputo fractional random boundary value problem 关于Caputo分数阶随机边值问题
IF 1.1
Afrika Matematika Pub Date : 2023-11-02 DOI: 10.1007/s13370-023-01121-0
Ho Vu
{"title":"On the Caputo fractional random boundary value problem","authors":"Ho Vu","doi":"10.1007/s13370-023-01121-0","DOIUrl":"10.1007/s13370-023-01121-0","url":null,"abstract":"<div><p>In this paper, we aim to prove the existence and uniqueness of the mean square solution to the Caputo fractional random boundary value problem by using the fixed point theorems. Moreover, we introduce the Ulam–Hyers stability and generalized Ulam–Hyers stability for this problem. Finally, we give an example to illustrate our results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134878223","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
Soju structures with applications in BCK/BCI-algebras Soju结构在BCK/ bci代数中的应用
IF 1.1
Afrika Matematika Pub Date : 2023-11-01 DOI: 10.1007/s13370-023-01125-w
Young Bae Jun, Seok-Zun Song, Eun Hwan Roh
{"title":"Soju structures with applications in BCK/BCI-algebras","authors":"Young Bae Jun,&nbsp;Seok-Zun Song,&nbsp;Eun Hwan Roh","doi":"10.1007/s13370-023-01125-w","DOIUrl":"10.1007/s13370-023-01125-w","url":null,"abstract":"<div><p>A new structure, so called soju structure, is introduced by combining intuitionistic fuzzy set and soft set, which is applied to <i>BCK</i>/<i>BCI</i>-algebras. The notions of soju subalgebra and soju ideal in <i>BCK</i>/<i>BCI</i>-algebras are introduced, and related properties are investigated. A strong soju subalgebra in <i>BCI</i>-algebras is introduced, and a condition for a soju subalgebra to be strong is provided. Relations between soju subalgebra and soju ideal are discussed, and conditions for a soju structure to be a soju ideal in a <i>BCK</i>-algebra are considered. Characterizations of soju subalgebra and soju ideal are considered, and the homomorphic image and preimage of soju subalgebra is discussed.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134795353","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: 2
Near rings characterized by intuitionistic fuzzy weak bi ideals 具有直觉模糊弱双理想特征的近环
IF 1.1
Afrika Matematika Pub Date : 2023-10-30 DOI: 10.1007/s13370-023-01110-3
K. Dhilip Kumar, M. Ramachandran
{"title":"Near rings characterized by intuitionistic fuzzy weak bi ideals","authors":"K. Dhilip Kumar,&nbsp;M. Ramachandran","doi":"10.1007/s13370-023-01110-3","DOIUrl":"10.1007/s13370-023-01110-3","url":null,"abstract":"<div><p>Generalizing the idea of fuzzy weak bi ideals of near ring, the notion of intuitionistic fuzzy weak bi ideals of near ring is defined. Specially, we obtain a characterization of near ring in terms of intuitionistic fuzzy weak bi ideals.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134797945","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
Statistical Fibonacci convergence of complex uncertain variables 复不确定变量的统计斐波那契收敛性
IF 1.1
Afrika Matematika Pub Date : 2023-10-28 DOI: 10.1007/s13370-023-01119-8
Sangeeta Saha, Binod Chandra Tripathy
{"title":"Statistical Fibonacci convergence of complex uncertain variables","authors":"Sangeeta Saha,&nbsp;Binod Chandra Tripathy","doi":"10.1007/s13370-023-01119-8","DOIUrl":"10.1007/s13370-023-01119-8","url":null,"abstract":"<div><p>This paper presents several statistical convergence concepts of complex uncertain sequences based on a regular matrix of Fibonacci numbers: statistical Fibonacci convergence almost surely, statistical Fibonacci convergence in measure, statistical Fibonacci convergence in mean and statistical Fibonacci convergence uniformly almost surely. Furthermore, the interrelations between them are studied and depicted in the form of a diagram.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134797563","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
Existence of solutions for some quasilinear elliptic system with weight and measure-valued right hand side 一类右侧具有权值和测度值的拟线性椭圆系统解的存在性
IF 1.1
Afrika Matematika Pub Date : 2023-10-27 DOI: 10.1007/s13370-023-01117-w
El Houcine Rami, Elhoussine Azroul, Abdelkrim Barbara
{"title":"Existence of solutions for some quasilinear elliptic system with weight and measure-valued right hand side","authors":"El Houcine Rami,&nbsp;Elhoussine Azroul,&nbsp;Abdelkrim Barbara","doi":"10.1007/s13370-023-01117-w","DOIUrl":"10.1007/s13370-023-01117-w","url":null,"abstract":"<div><p>Let <span>(Omega )</span> be an open bounded domain in <span>(I!!R^{n},)</span> we prove the existence of a solution <i>u</i> for the nonlinear elliptic system </p><div><div><span>$$begin{aligned} text{(QES) } left{ begin{array}{ll} -divsigma left( x,uleft( xright) ,Duleft( xright) right) = mu &amp;{}quad text{ in } Omega u = 0 &amp;{}quad text{ on } partial Omega , end{array} right. end{aligned}$$</span></div><div>\u0000 (0.1)\u0000 </div></div><p>where <span>(mu )</span> is Radon measure on <span>(Omega )</span> with finite mass. In particular, we show that if the coercivity rate of <span>(sigma )</span> lies in the range <span>(]frac{s+1}{s},(frac{s+1}{s})(2-frac{1}{n})])</span> with <span>(sin left( frac{n}{p}, infty right) cap left( frac{1}{p-1}, infty right) ,)</span> then <i>u</i> is approximately differentiable and the equation holds with <i>Du</i> replaced by <span>(text{ apDu })</span>. The proof relies on an approximation of <span>(mu )</span> by smooth functions <span>(f_{k})</span> and a compactness result for the corresponding solutions <span>(u_{k}.)</span> This follows from a detailed analysis of the Young measure <span>({delta _{u}(x)otimes vartheta (x)})</span> generated by the sequence <span>({(u_{k},Du_{k})})</span>, and the div-curl type inequality <span>(langle vartheta (x),sigma (x,u,cdot )rangle le overline{sigma }(x)langle vartheta (x),cdot rangle )</span> for the weak limit <span>(overline{sigma })</span> of the sequence.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-023-01117-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134797550","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
Pompeiu’s functional equations between unital algebras 一元代数间的庞培泛函方程
IF 1.1
Afrika Matematika Pub Date : 2023-10-27 DOI: 10.1007/s13370-023-01116-x
Y. Aissi, D. Zeglami, A. Mouzoun
{"title":"Pompeiu’s functional equations between unital algebras","authors":"Y. Aissi,&nbsp;D. Zeglami,&nbsp;A. Mouzoun","doi":"10.1007/s13370-023-01116-x","DOIUrl":"10.1007/s13370-023-01116-x","url":null,"abstract":"<div><p>Let <span>(mathcal {A})</span> and <span>(mathcal {B})</span> be unital algebras, that need not be abelian, over fields <span>(mathbb {K})</span> and <span>(mathbb {K^{prime }})</span> respectively, let <span>(alpha ,a,b,cin mathbb {K},)</span> <span>(beta in mathbb {K^{prime }})</span> and <span>( lambda in mathbb {C})</span>. The present work aims to determine the general solution <span>(Phi :mathcal {A}rightarrow mathcal {B})</span> of the functional equation </p><div><div><span>$$begin{aligned} Phi (x+y+alpha xy)=Phi (x)+Phi (y)+beta Phi (x)Phi (y), x,yin mathcal {A}, end{aligned}$$</span></div></div><p>and to describe the solutions <span>(Phi :mathcal {A}rightarrow M_{2}(mathbb {C} ) )</span> of the functional equation </p><div><div><span>$$begin{aligned} Phi (ax+by+cxy)=Phi (x)+Phi (y)+lambda Phi (x)Phi (y), x,yin mathcal {A}. end{aligned}$$</span></div></div><p>We also show that, when <span>((mathcal {A},cdot ))</span> (as a semigroup) is commutative and regular (for instance when <span>(dim mathcal {A}=1)</span>), the explicit forms of the solutions of the last equation can be given.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134797551","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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