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Mediterranean Journal of Mathematics最新文献

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On Real Hypersurfaces in $${mathbb {S}}^2times {mathbb {S}}^2$$ and $${mathbb {H}}^2times {mathbb {H}}^2$$ with Parallel Normal Jacobi Operator On Real Hypersurfaces in $${mathbb {S}}^2times {mathbb {S}}^2$$ and $${mathbb {H}}^2times {mathbb {H}}^2$$ with Parallel Normal Jacobi Operator
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-05-30 DOI: 10.1007/s00009-024-02674-5
Zejun Hu, Xiaoge Lu
{"title":"On Real Hypersurfaces in $${mathbb {S}}^2times {mathbb {S}}^2$$ and $${mathbb {H}}^2times {mathbb {H}}^2$$ with Parallel Normal Jacobi Operator","authors":"Zejun Hu, Xiaoge Lu","doi":"10.1007/s00009-024-02674-5","DOIUrl":"https://doi.org/10.1007/s00009-024-02674-5","url":null,"abstract":"<p>In this paper, we study real hypersurfaces of the two Kähler surfaces <span>({mathbb {S}}^2times {mathbb {S}}^2)</span> and <span>({mathbb {H}}^2times {mathbb {H}}^2.)</span> As the main results, amongst others, we classify all such hypersurfaces whose normal Jacobi operators are parallel with respect to either the Levi-Civita connection or the <i>k</i>-generalized Tanaka–Webster connection.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141196962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Blow-Up and Global Existence of Solutions to Degenerate Kirchhoff Equation with Variable Source 具有可变源的退化基尔霍夫方程的炸开和全局存在性解法
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-05-29 DOI: 10.1007/s00009-024-02677-2
Jingjing Zhang, Xiaolei Li
{"title":"Blow-Up and Global Existence of Solutions to Degenerate Kirchhoff Equation with Variable Source","authors":"Jingjing Zhang, Xiaolei Li","doi":"10.1007/s00009-024-02677-2","DOIUrl":"https://doi.org/10.1007/s00009-024-02677-2","url":null,"abstract":"<p>In this paper, we mainly study the classification of global existence and blow-up of solutions to degenerate Kirchhoff problems for the initial energy at different conditions. Firstly, under subcritical or critical conditions, we find two invariant sets and obtain the threshold results of global existence or blow-up in finite time. Furthermore, we apply <span>(omega )</span>-limit to prove the existence of blow-up solutions for the supercritical initial energy case. Finally, we give two-sided estimates of asymptotic behavior when the source term is controlled by the diffusion term.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141197223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Hyers–Ulam Stability of the Coefficient Multipliers on Analytic Hilbert Spaces 解析希尔伯特空间上系数乘数的海尔-乌兰稳定性
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-05-29 DOI: 10.1007/s00009-024-02673-6
Chun Wang, Tian-Zhou Xu
{"title":"Hyers–Ulam Stability of the Coefficient Multipliers on Analytic Hilbert Spaces","authors":"Chun Wang, Tian-Zhou Xu","doi":"10.1007/s00009-024-02673-6","DOIUrl":"https://doi.org/10.1007/s00009-024-02673-6","url":null,"abstract":"<p>In this paper, we investigate the Hyers–Ulam stability of the coefficient multipliers on the Hardy space <span>(H^2)</span> and the Bergman space <span>(A^2)</span>, meanwhile, we also investigate the Hyers–Ulam stability of the coefficient multipliers between the Bergman space <span>(A^2)</span> and the Hardy space <span>(H^2)</span>. We give the necessary and sufficient condition for the coefficient multipliers to have the Hyers–Ulam stability on the Hardy space <span>(H^2)</span>, on the Bergman space <span>(A^2)</span> and between the Bergman space <span>(A^2)</span> and the Hardy space <span>(H^2)</span>, respectively. We also show that the best constant of Hyers–Ulam stability exists under different circumstances. Some results generalized the results of MacGregor and Zhu when <span>(p=2)</span> in MacGregor and Zhu article (Mathematika 42:413–426, 1995). Moreover, some illustrative examples are also discussed.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141197234","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A Novel Super-Convergent Numerical Method for Solving Nonlinear Volterra Integral Equations Based on B-Splines 基于 B-样条曲线的求解非线性 Volterra 积分方程的新型超收敛数值方法
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-05-25 DOI: 10.1007/s00009-024-02670-9
M. Ghasemi, A. Goligerdian, S. Moradi
{"title":"A Novel Super-Convergent Numerical Method for Solving Nonlinear Volterra Integral Equations Based on B-Splines","authors":"M. Ghasemi, A. Goligerdian, S. Moradi","doi":"10.1007/s00009-024-02670-9","DOIUrl":"https://doi.org/10.1007/s00009-024-02670-9","url":null,"abstract":"<p>We introduce and thoroughly examine a novel approach grounded in B-spline techniques to address the solution of second-kind nonlinear Volterra integral equations. Our method revolves around the application of B-spline interpolation, incorporating innovative end conditions, and delving into the associated existence and error estimation aspects. Notably, we develop this technique separately for even and odd-degree splines, leading to super-convergent approximations, particularly significant when employing even-degree splines. This paper extends its commitment to a comprehensive analysis, delving deeply into the method’s convergence characteristics and providing insightful error bounds. To empirically validate our approach, we present a series of numerical experiments. These experiments underscore the method’s efficacy and practicality, showcasing numerical approximations that closely align with the anticipated theoretical outcomes. Our proposed method thus emerges as a promising and robust tool for addressing the challenging realm of nonlinear Volterra integral equations, bridging the gap between theoretical expectations and practical applications.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141149727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Maximum Number of Maximum Independent Sets of Bipartite Graphs 论双方形图的最大独立集的最大数量
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-05-23 DOI: 10.1007/s00009-024-02671-8
Wanting Sun, Shuchao Li
{"title":"On the Maximum Number of Maximum Independent Sets of Bipartite Graphs","authors":"Wanting Sun, Shuchao Li","doi":"10.1007/s00009-024-02671-8","DOIUrl":"https://doi.org/10.1007/s00009-024-02671-8","url":null,"abstract":"","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141107334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Multiple Standing Waves of Matrix Nonlinear Schrödinger Equations with Sign-Changing Potentials 具有符号变化电势的矩阵非线性薛定谔方程的多重驻波
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-05-22 DOI: 10.1007/s00009-024-02665-6
Guanwei Chen
{"title":"Multiple Standing Waves of Matrix Nonlinear Schrödinger Equations with Sign-Changing Potentials","authors":"Guanwei Chen","doi":"10.1007/s00009-024-02665-6","DOIUrl":"https://doi.org/10.1007/s00009-024-02665-6","url":null,"abstract":"","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141112416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Lorentzian Rigged Structure Inheriting Perfect Fluid Spacetime Status 继承完美流体时空状态的洛伦兹操纵结构
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-05-21 DOI: 10.1007/s00009-024-02672-7
Amrınder Pal Singh, Rakesh Kumar, C. Atindogbe, Varun Jain
{"title":"Lorentzian Rigged Structure Inheriting Perfect Fluid Spacetime Status","authors":"Amrınder Pal Singh, Rakesh Kumar, C. Atindogbe, Varun Jain","doi":"10.1007/s00009-024-02672-7","DOIUrl":"https://doi.org/10.1007/s00009-024-02672-7","url":null,"abstract":"","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141116900","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Towards the Classification of Semistable Fibrations Having Exactly Five Singular Fibers 对恰好有五条奇异纤维的半稳态纤变进行分类
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-05-19 DOI: 10.1007/s00009-024-02667-4
Margarita Castañeda-Salazar, Margarida Mendes Lopes, Alexis Zamora
{"title":"Towards the Classification of Semistable Fibrations Having Exactly Five Singular Fibers","authors":"Margarita Castañeda-Salazar, Margarida Mendes Lopes, Alexis Zamora","doi":"10.1007/s00009-024-02667-4","DOIUrl":"https://doi.org/10.1007/s00009-024-02667-4","url":null,"abstract":"<p>Let <i>X</i> be a nonsingular complex projective surface. Given a semistable non isotrivial fibration <span>(f: X rightarrow mathbb {P}^{1})</span> with general non-hyperelliptic fiber of genus <span>(gge 4)</span>, we show that, if the number of singular fibers is 5, then <span>(gle 11)</span>, thus improving the previously known bound <span>(gle 17)</span>. Furthermore, we show that, for each possible genus, the general fiber has gonality at most 5. The corresponding fibrations are described as the resolution of concrete pencils of curves on minimal rational surfaces.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141149696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 of Solution for a Katugampola Fractional Differential Equation Using Coincidence Degree Theory 利用重合度理论求解卡图冈波拉分微分方程的存在性
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-05-17 DOI: 10.1007/s00009-024-02658-5
S. Srivastava, S. Pati, J. Graef, Alexander Domoshnitsky, S. Padhi
{"title":"Existence of Solution for a Katugampola Fractional Differential Equation Using Coincidence Degree Theory","authors":"S. Srivastava, S. Pati, J. Graef, Alexander Domoshnitsky, S. Padhi","doi":"10.1007/s00009-024-02658-5","DOIUrl":"https://doi.org/10.1007/s00009-024-02658-5","url":null,"abstract":"","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140963712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Continuous Spectrum for a Double-Phase Unbalanced Growth Eigenvalue Problem 双相不平衡增长特征值问题的连续谱
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-05-17 DOI: 10.1007/s00009-024-02664-7
Laura Gambera, Umberto Guarnotta, Nikolaos S. Papageorgiou
{"title":"Continuous Spectrum for a Double-Phase Unbalanced Growth Eigenvalue Problem","authors":"Laura Gambera, Umberto Guarnotta, Nikolaos S. Papageorgiou","doi":"10.1007/s00009-024-02664-7","DOIUrl":"https://doi.org/10.1007/s00009-024-02664-7","url":null,"abstract":"<p>We consider an eigenvalue problem for a double-phase differential operator with unbalanced growth. Using the Nehari method, we show that the problem has a continuous spectrum determined by the minimal eigenvalue of the weighted <i>p</i>-Laplacian.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141059910","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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