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Rocky Mountain Journal of Mathematics最新文献

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CLOPEN LINEAR SUBSPACES AND CONNECTEDNESS IN FUNCTION SPACES 函数空间中的闭线性子空间与连通性
4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-10-01 DOI: 10.1216/rmj.2023.53.1415
Tarun Kumar Chauhan, Varun Jindal
{"title":"CLOPEN LINEAR SUBSPACES AND CONNECTEDNESS IN FUNCTION SPACES","authors":"Tarun Kumar Chauhan, Varun Jindal","doi":"10.1216/rmj.2023.53.1415","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1415","url":null,"abstract":"We aim to study clopen linear subspaces and connectedness properties of the space C(X) of all real-valued continuous functions defined on a metric space (X,d) equipped with various topologies. In particular, we consider the topologies of strong Whitney and strong uniform convergence on bornology. We also examine when these topologies on C(X) are locally convex. While studying clopen subspaces, we give new characterizations for the notion of a shield and for a bornology to be shielded from closed sets.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135323337","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 SOLUTIONS FOR A NONLINEAR NONLOCAL HYBRID FUNCTIONAL FRACTIONAL DIFFERENTIAL EQUATION 一类非线性非局部混合泛函分数阶微分方程解的存在性
4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-10-01 DOI: 10.1216/rmj.2023.53.1459
Darshana Devi, Jayanta Borah
{"title":"EXISTENCE OF SOLUTIONS FOR A NONLINEAR NONLOCAL HYBRID FUNCTIONAL FRACTIONAL DIFFERENTIAL EQUATION","authors":"Darshana Devi, Jayanta Borah","doi":"10.1216/rmj.2023.53.1459","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1459","url":null,"abstract":"We consider a Caputo-type hybrid functional fractional differential equation of order 1<q≤2 with nonlocal boundary conditions. By using the fixed-point theorem in Banach algebra due to Dhage (1988), we study the existence of the solutions.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135323338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
FOCAL SURFACES OF FRONTS ASSOCIATED TO UNBOUNDED PRINCIPAL CURVATURES 与无界主曲率相关的锋面焦点面
4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-10-01 DOI: 10.1216/rmj.2023.53.1587
Keisuke Teramoto
{"title":"FOCAL SURFACES OF FRONTS ASSOCIATED TO UNBOUNDED PRINCIPAL CURVATURES","authors":"Keisuke Teramoto","doi":"10.1216/rmj.2023.53.1587","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1587","url":null,"abstract":"We study focal surfaces of (wave) fronts associated to unbounded principal curvatures near nondegenerate singular points of initial fronts. We give characterizations of singularities of those focal surfaces in terms of types of singularities and geometrical properties of initial fronts. Moreover, we investigate behavior of the Gaussian curvature of the focal surface.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135323340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
QUANTITATIVE WEIGHTED BOUNDS FOR VARIATION OPERATORS ASSOCIATED WITH HEAT SEMIGROUPS IN THE SCHRÖDINGER SETTING 在schrÖdinger设置中与热半群相关的变异算子的定量加权界
4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-10-01 DOI: 10.1216/rmj.2023.53.1645
Yongming Wen, Huoxiong Wu
{"title":"QUANTITATIVE WEIGHTED BOUNDS FOR VARIATION OPERATORS ASSOCIATED WITH HEAT SEMIGROUPS IN THE SCHRÖDINGER SETTING","authors":"Yongming Wen, Huoxiong Wu","doi":"10.1216/rmj.2023.53.1645","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1645","url":null,"abstract":"We obtain the quantitative weighted strong-type and weak-type estimates for variation operators associated with heat semigroups in the Schrödinger setting. In particular, we first established the quantitative endpoint bound for such operators in the Schrödinger setting, which is the main novelty of our results.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135323135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 2
TWO REGULARIZATION METHODS FOR IDENTIFYING THE UNKNOWN SOURCE IN A MULTITERM TIME-FRACTIONAL DIFFUSION EQUATION 多项时间分数扩散方程中未知源识别的两种正则化方法
4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-10-01 DOI: 10.1216/rmj.2023.53.1387
Maoli Chang, Liangliang Sun, Yuxin Wang
{"title":"TWO REGULARIZATION METHODS FOR IDENTIFYING THE UNKNOWN SOURCE IN A MULTITERM TIME-FRACTIONAL DIFFUSION EQUATION","authors":"Maoli Chang, Liangliang Sun, Yuxin Wang","doi":"10.1216/rmj.2023.53.1387","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1387","url":null,"abstract":"We study an inverse source problem for a multiterm time-fractional diffusion equation from a noisy final data in a general bounded domain. This problem is ill-posed. Uniqueness and a conditional stability for the inverse problem are derived based on an expression of the solution and some properties of the multinomial Mittag-Leffler function. Further we introduce the modified quasiboundary regularization method and the Landweber iterative regularization method to solve the inverse source problem. Convergence estimates between the regularization solution and the exact solution are given under the a priori regularization parameter choice rule and the a posteriori regularization parameter choice rule, respectively. Finally, we use the finite difference method to solve the direct problem and the inverse source problem in the one-dimensional case, and apply the finite element method to solve them in the two-dimensional case. Numerical examples are provided to show the effectiveness of the proposed method in the one- and two-dimensional cases.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135323331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 HOMOCLINIC ORBITS OF A CLASS OF SECOND-ORDER QUASILINEAR SCHRÖDINGER EQUATIONS WITH DELAY 一类二阶时滞拟线性schrÖdinger方程同斜轨道的存在性
4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-10-01 DOI: 10.1216/rmj.2023.53.1489
Chengjun Guo, Baili Chen, Junming Liu, Ravi P. Agarwal
{"title":"EXISTENCE OF HOMOCLINIC ORBITS OF A CLASS OF SECOND-ORDER QUASILINEAR SCHRÖDINGER EQUATIONS WITH DELAY","authors":"Chengjun Guo, Baili Chen, Junming Liu, Ravi P. Agarwal","doi":"10.1216/rmj.2023.53.1489","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1489","url":null,"abstract":"We study the existence of homoclinic orbits of the second order quasilinear Schrödinger equations u¨(t)−V(t)u(t)+2[u¨(t)u2(t)+u˙2(t)u(t)]+g(t,u(t+τ),u(t),u(t−τ))=h(t). containing both advance and retardation terms. By using critical point theory and variational approaches, we establish two different existence results. The first is based on g which does not satisfy the Ambrosetti–Rabinowitz growth condition. The second is based on g satisfying the Ambrosetti–Rabinowitz growth condition.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"2013 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135323332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
STABILITY OF ROTATION RELATION OF TWO UNITARIES WITH ℤ3, ℤ4 AND ℤ6-ACTIONS IN C*-ALGEBRAS c *-代数中两个具有素数3，素数4和素数6作用的酉元旋转关系的稳定性
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-08-01 DOI: 10.1216/rmj.2023.53.1129
Jiajie Hua
{"title":"STABILITY OF ROTATION RELATION OF TWO UNITARIES WITH ℤ3, ℤ4 AND ℤ6-ACTIONS IN C*-ALGEBRAS","authors":"Jiajie Hua","doi":"10.1216/rmj.2023.53.1129","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1129","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41839746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
LIE CENTRALIZERS AND GENERALIZED LIE DERIVATIONS AT ZERO PRODUCTS 零积处的Lie中心和广义Lie导数
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-08-01 DOI: 10.1216/rmj.2023.53.1087
A. Fošner, H. Ghahramani, F. Wei
{"title":"LIE CENTRALIZERS AND GENERALIZED LIE DERIVATIONS AT ZERO PRODUCTS","authors":"A. Fošner, H. Ghahramani, F. Wei","doi":"10.1216/rmj.2023.53.1087","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1087","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45534804","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
WOLFF’S IDEAL THEOREM ON ANALYTIC BESOV-TYPE SPACE AND ITS MÖBIUS INVARIANT SUBSPACE 解析BESOV-型空间上的WOLFF理想定理及其MÖBIUS不变子空间
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-08-01 DOI: 10.1216/rmj.2023.53.1327
Wenwan Yang, Cheng Yuan
{"title":"WOLFF’S IDEAL THEOREM ON ANALYTIC BESOV-TYPE SPACE AND ITS MÖBIUS INVARIANT SUBSPACE","authors":"Wenwan Yang, Cheng Yuan","doi":"10.1216/rmj.2023.53.1327","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1327","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49437398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 NEW CHARACTERIZATION OF HOMOGENEOUS FUNCTIONS AND APPLICATIONS 齐次函数的新表征及其应用
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-08-01 DOI: 10.1216/rmj.2023.53.1073
Moncef Elghribi
{"title":"A NEW CHARACTERIZATION OF HOMOGENEOUS FUNCTIONS AND APPLICATIONS","authors":"Moncef Elghribi","doi":"10.1216/rmj.2023.53.1073","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.1073","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45048190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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