Bulletin des Sciences Mathematiques最新文献_第3页

Large deviation principles of invariant measures of stochastic discrete wave equations with multiplicative noise and nonlinear damping 具有乘性噪声和非线性阻尼的随机离散波动方程不变测度的大偏差原理

IF 1.3 3区数学

Bulletin des Sciences Mathematiques Pub Date : 2025-05-28 DOI: 10.1016/j.bulsci.2025.103670

Yongkang Zhang, Xiaojun Li

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Trajectory controllability of higher-order Riemann-Liouville fractional stochastic systems via integral contractors in a new Banach space 新Banach空间中高阶Riemann-Liouville分数阶随机系统通过积分承包者的轨迹可控性

IF 1.3 3区数学

Bulletin des Sciences Mathematiques Pub Date : 2025-05-22 DOI: 10.1016/j.bulsci.2025.103659

Dimplekumar Chalishajar , Dhanalakshmi Kasinathan , Ramkumar Kasinathan , Ravikumar Kasinathan

{"title":"Trajectory controllability of higher-order Riemann-Liouville fractional stochastic systems via integral contractors in a new Banach space","authors":"Dimplekumar Chalishajar , Dhanalakshmi Kasinathan , Ramkumar Kasinathan , Ravikumar Kasinathan","doi":"10.1016/j.bulsci.2025.103659","DOIUrl":"10.1016/j.bulsci.2025.103659","url":null,"abstract":"<div><div>In this article, we investigate the existence, uniqueness, and trajectory controllability of mild solutions to the fractional stochastic differential system in the new Banach space setting. The results are illustrated by pairing the stochastic process and sequencing technique with the concept of bounded integral contractors. This piece stands out from the earlier ones because it doesn't require the necessary Lipschitz condition for nonlinear functions to satisfy it, nor does it demand an explanation of the results obtained from the induced inverse of the controllability operator. Furthermore, controllability in the sense of trajectory for higher-order Riemann-Liouville stochastic differential systems is demonstrated. An application followed by the theory is displayed at the end. This paper extends all previous works in this direction. Chalishajar et al. <span><span>[12]</span></span> and Renu Chaudhary et al. <span><span>[11]</span></span> have already been expanded upon by our study.</div></div>","PeriodicalId":55313,"journal":{"name":"Bulletin des Sciences Mathematiques","volume":"204 ","pages":"Article 103659"},"PeriodicalIF":1.3,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144134360","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}

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Norm attaining composition operators on Segal-Bargmann spaces 西格尔-巴格曼空间上的模获取复合算子

IF 1.3 3区数学

Bulletin des Sciences Mathematiques Pub Date : 2025-05-19 DOI: 10.1016/j.bulsci.2025.103657

Neeru Bala , Sudip Ranjan Bhuia

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Some results on the weighted Yamabe problem with or without boundary 关于有边界和无边界加权Yamabe问题的一些结果

IF 1.3 3区数学

Bulletin des Sciences Mathematiques Pub Date : 2025-05-19 DOI: 10.1016/j.bulsci.2025.103658

Pak Tung Ho , Jinwoo Shin , Zetian Yan

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An assortment of properties of silting subcategories of extriangulated categories 外三角分类的泥沙子分类的性质分类

IF 1.3 3区数学

Bulletin des Sciences Mathematiques Pub Date : 2025-05-09 DOI: 10.1016/j.bulsci.2025.103647

Takahide Adachi , Mayu Tsukamoto

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Effective Bertini theorem 有效Bertini定理

IF 1.3 3区数学

Bulletin des Sciences Mathematiques Pub Date : 2025-05-09 DOI: 10.1016/j.bulsci.2025.103648

Katarzyna Kielanowicz, Beata Osińska-Ulrych, Tomasz Rodak, Adam Różycki, Stanisław Spodzieja

{"title":"Effective Bertini theorem","authors":"Katarzyna Kielanowicz, Beata Osińska-Ulrych, Tomasz Rodak, Adam Różycki, Stanisław Spodzieja","doi":"10.1016/j.bulsci.2025.103648","DOIUrl":"10.1016/j.bulsci.2025.103648","url":null,"abstract":"<div><div>The classical Bertini theorem on generic intersection of an algebraic set with hyperplanes says that: <em>Let X be a non-singular closed subvariety of</em> <span><math><msubsup><mrow><mi>P</mi></mrow><mrow><mi>k</mi></mrow><mrow><mi>n</mi></mrow></msubsup></math></span><em>, where</em> <span><math><mi>k</mi></math></span> <em>is an algebraically closed field. Then there exists a hyperplane</em> <span><math><mi>H</mi><mo>⊂</mo><msubsup><mrow><mi>P</mi></mrow><mrow><mi>k</mi></mrow><mrow><mi>n</mi></mrow></msubsup></math></span><em>, not containing X, and such that the scheme</em> <span><math><mi>H</mi><mo>∩</mo><mi>X</mi></math></span> <em>is regular at every point. Furthermore, the set of hyperplanes with this property forms an open dense subset of the complete linear system</em> <span><math><mo>|</mo><mi>H</mi><mo>|</mo></math></span><em>, considered as a projective space.</em> We will show that one can effectively indicate a finite family of hyperplanes <em>H</em>, at least one of which satisfies the assertion of the Bertini theorem, provided that the dimension and degree of the set <em>X</em> are given.</div></div>","PeriodicalId":55313,"journal":{"name":"Bulletin des Sciences Mathematiques","volume":"203 ","pages":"Article 103648"},"PeriodicalIF":1.3,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144069183","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}

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Cohomology of the differential fundamental group of algebraic curves 代数曲线微分基群的上同调

IF 1.3 3区数学

Bulletin des Sciences Mathematiques Pub Date : 2025-05-09 DOI: 10.1016/j.bulsci.2025.103646

Võ Quôc Bao, Phùng Hô Hai, Dào Van Thinh

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Approximate orthogonality and its applications to specific classes of linear operators 近似正交性及其在特定类别线性算子中的应用

IF 1.3 3区数学

Bulletin des Sciences Mathematiques Pub Date : 2025-05-08 DOI: 10.1016/j.bulsci.2025.103645

Najla Altwaijry , Jacek Chmieliński , Cristian Conde , Kais Feki

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New endpoint estimates for commutators of multilinear operators 多线性算子换向子的新端点估计

IF 1.3 3区数学

Bulletin des Sciences Mathematiques Pub Date : 2025-05-02 DOI: 10.1016/j.bulsci.2025.103644

Yichun Zhao , Songbai Wang , Jiang Zhou

{"title":"New endpoint estimates for commutators of multilinear operators","authors":"Yichun Zhao , Songbai Wang , Jiang Zhou","doi":"10.1016/j.bulsci.2025.103644","DOIUrl":"10.1016/j.bulsci.2025.103644","url":null,"abstract":"<div><div>Let <span><math><mi>b</mi><mo>∈</mo><mrow><mi>BMO</mi></mrow></math></span> and <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>α</mi></mrow></msub></math></span> be a class of multilinear operators as <span><span>Definition 1.3</span></span>. We establish a new weighted endpoint estimate of the commutators <span><math><mo>[</mo><mover><mrow><mi>b</mi></mrow><mrow><mo>→</mo></mrow></mover><mo>,</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>α</mi></mrow></msub><mo>]</mo></math></span> via extending the weighted <em>L</em>log<em>L</em> type Orlicz space to the larger Ω type Orlicz space. As applications, we first obtain the new weighted endpoint estimates for multilinear commutators and iterated commutators associated with multilinear Calderón–Zygmund operators and multilinear fractional integral operators, which improve <span><span>[26, Theorem 1.1]</span></span> in some sense. In addition, the new weighted endpoint estimates of commutators associated with multilinear Littlewood-Paley type operators and multilinear singular integrals with non-smooth kernels are shown by enhancing the conditions of operator and their commutator. In particular, the new weighted endpoint estimates are also new results in the one-linear and unweighted cases. Furthermore, we get the endpoint estimate of commutators <span><math><mo>[</mo><mi>b</mi><mo>,</mo><msub><mrow><mi>T</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>]</mo></math></span> on generalized Orlicz spaces by an extrapolation theorem.</div></div>","PeriodicalId":55313,"journal":{"name":"Bulletin des Sciences Mathematiques","volume":"202 ","pages":"Article 103644"},"PeriodicalIF":1.3,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929522","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

The number of zeros of the sum of Abelian integrals satisfying two-dimensional Picard-Fuchs equations 满足二维皮卡德-富克斯方程的阿贝尔积分和的零个数

IF 1.3 3区数学

Bulletin des Sciences Mathematiques Pub Date : 2025-04-23 DOI: 10.1016/j.bulsci.2025.103643

Changjian Liu , Shaoqing Wang

{"title":"The number of zeros of the sum of Abelian integrals satisfying two-dimensional Picard-Fuchs equations","authors":"Changjian Liu , Shaoqing Wang","doi":"10.1016/j.bulsci.2025.103643","DOIUrl":"10.1016/j.bulsci.2025.103643","url":null,"abstract":"<div><div>This paper is primarily devoted to developing a new criterion to show the upper bound for the number of zeros of the sum of Abelian integrals satisfying two-dimensional Picard-Fuchs equations, which is a generalization of the method by Gavrilov and Iliev (2003) <span><span>[13]</span></span>. The second goal of this paper is to investigate, using our new criterion, the hyperelliptic Abelian integrals related to the period annuli of a Hamiltonian system <span><math><mover><mrow><mi>x</mi></mrow><mrow><mo>˙</mo></mrow></mover><mo>=</mo><mo>−</mo><mi>y</mi><mo>,</mo><mover><mrow><mi>y</mi></mrow><mrow><mo>˙</mo></mrow></mover><mo>=</mo><msubsup><mrow><mi>T</mi></mrow><mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow><mrow><mo>′</mo></mrow></msubsup><mo>(</mo><mi>x</mi><mo>)</mo></math></span> under the polynomial deformation of degree <em>n</em>, where <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>cos</mi><mo>⁡</mo><mo>(</mo><mo>(</mo><mi>n</mi><mo>+</mo><mn>1</mn><mo>)</mo><mi>arccos</mi><mo>⁡</mo><mi>x</mi><mo>)</mo></math></span> is the Chebyshev polynomial of the first kind, and to show that for every period annulus of such system, the number of zeros of the hyperelliptic Abelian integral is no more than <span><math><mi>O</mi><mo>(</mo><msup><mrow><mi>n</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></math></span>, which is novel up to now.</div></div>","PeriodicalId":55313,"journal":{"name":"Bulletin des Sciences Mathematiques","volume":"203 ","pages":"Article 103643"},"PeriodicalIF":1.3,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143903413","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