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On the Localization of Fractal Lines of Discontinuity from Noisy Data 论从噪声数据中定位分形不连续线
IF 0.4
Russian Mathematics Pub Date : 2023-09-01 DOI: 10.3103/s1066369x23090037
{"title":"On the Localization of Fractal Lines of Discontinuity from Noisy Data","authors":"","doi":"10.3103/s1066369x23090037","DOIUrl":"https://doi.org/10.3103/s1066369x23090037","url":null,"abstract":"<span> <h3>Abstract</h3> <p>An ill-posed problem of localization (determining the position) of discontinuity lines of a function of two variables is considered: outside the discontinuity lines, the function is smooth, and, at each point on the line, it has a discontinuity of the first kind. Under the Lipschitz conditions on the discontinuity line, averaging procedures are constructed and global discrete regularizing algorithms of localization are studied. A parametric family of fractal lines is constructed for which all conditions can be checked analytically. A fractal having a large fractal dimension is indicated for which the efficiency of the constructed methods can be guaranteed.</p> </span>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"97 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138682817","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
On a Functional Equation with Holomorphic Coefficients Associated with a Finite Group 一类有限群全纯系数泛函方程
IF 0.4
Russian Mathematics Pub Date : 2023-08-01 DOI: 10.3103/s1066369x23080029
F. N. Garif’yanov, E. V. Strezhneva
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引用次数: 0
Optimal Velocity Distributions in the Design of Supercavitating Hydrofoils 超抽气水翼设计中的最佳速度分布
IF 0.4
Russian Mathematics Pub Date : 2023-08-01 DOI: 10.3103/S1066369X23080030
D. Maklakov, S. Gazizova, I. Kayumov
{"title":"Optimal Velocity Distributions in the Design of Supercavitating Hydrofoils","authors":"D. Maklakov, S. Gazizova, I. Kayumov","doi":"10.3103/S1066369X23080030","DOIUrl":"https://doi.org/10.3103/S1066369X23080030","url":null,"abstract":"","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"33 1","pages":"49 - 54"},"PeriodicalIF":0.4,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139352751","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 Problem in the Unbounded Domain with the Frankl Condition on the Segment of the Degeneration Line and with a Missing Gellerstedt Condition for a Class of Mixed-Type Equations 一类混合型方程在退化线段上具有Frankl条件和缺失Gellerstedt条件的无界区域问题
IF 0.4
Russian Mathematics Pub Date : 2023-08-01 DOI: 10.3103/s1066369x23080042
M. Mirsaburov, S. B. Ergasheva
{"title":"The Problem in the Unbounded Domain with the Frankl Condition on the Segment of the Degeneration Line and with a Missing Gellerstedt Condition for a Class of Mixed-Type Equations","authors":"M. Mirsaburov, S. B. Ergasheva","doi":"10.3103/s1066369x23080042","DOIUrl":"https://doi.org/10.3103/s1066369x23080042","url":null,"abstract":"","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"11 1","pages":"18 - 26"},"PeriodicalIF":0.4,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138526989","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
Refined Transformational Model of Deformation of a Rod-Strip with a Fixed Section on One of the Front Surfaces 某前表面固定截面杆带变形的精细变换模型
IF 0.4
Russian Mathematics Pub Date : 2023-08-01 DOI: 10.3103/s1066369x23080078
V. N. Paimushin, A. M. Kamalutdinov, M. A. Shishov, S. F. Chumakova
{"title":"Refined Transformational Model of Deformation of a Rod-Strip with a Fixed Section on One of the Front Surfaces","authors":"V. N. Paimushin, A. M. Kamalutdinov, M. A. Shishov, S. F. Chumakova","doi":"10.3103/s1066369x23080078","DOIUrl":"https://doi.org/10.3103/s1066369x23080078","url":null,"abstract":"","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"45 6","pages":"55 - 61"},"PeriodicalIF":0.4,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527004","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
Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Equations Involving the Fractional p(x, ·)-Laplacian 含有分数阶p(x，·)的Schrödinger-Kirchhoff-Type方程的无穷多解
IF 0.4
Russian Mathematics Pub Date : 2023-08-01 DOI: 10.3103/s1066369x23080054
Maryam Mirzapour
{"title":"Infinitely Many Solutions for Schrödinger–Kirchhoff-Type Equations Involving the Fractional p(x, ·)-Laplacian","authors":"Maryam Mirzapour","doi":"10.3103/s1066369x23080054","DOIUrl":"https://doi.org/10.3103/s1066369x23080054","url":null,"abstract":"","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"37 1","pages":"67 - 77"},"PeriodicalIF":0.4,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527003","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
Invertibility and Spectrum of the Riemann Boundary Value Problem Operator in a Countably Normed Space of Smooth Functions on a Circle 圆上光滑函数可数赋范空间中Riemann边值问题算子的可逆性和谱
IF 0.4
Russian Mathematics Pub Date : 2023-08-01 DOI: 10.3103/s1066369x2308008x
A. E. Pasenchuk
{"title":"Invertibility and Spectrum of the Riemann Boundary Value Problem Operator in a Countably Normed Space of Smooth Functions on a Circle","authors":"A. E. Pasenchuk","doi":"10.3103/s1066369x2308008x","DOIUrl":"https://doi.org/10.3103/s1066369x2308008x","url":null,"abstract":"","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"39 1","pages":"36 - 43"},"PeriodicalIF":0.4,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138526993","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
Inverse Source Problem for the Equation of Forced Vibrations of a Beam 梁受迫振动方程的逆源问题
IF 0.4
Russian Mathematics Pub Date : 2023-08-01 DOI: 10.3103/s1066369x23080017
U. D. Durdiev
{"title":"Inverse Source Problem for the Equation of Forced Vibrations of a Beam","authors":"U. D. Durdiev","doi":"10.3103/s1066369x23080017","DOIUrl":"https://doi.org/10.3103/s1066369x23080017","url":null,"abstract":"","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"46 11","pages":"7 - 17"},"PeriodicalIF":0.4,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138526988","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
Diffraction of Harmonic Shear Waves on an Elliptical Cavity Located in a Viscoelastic Medium 粘弹性介质中椭圆腔中谐波剪切波的衍射
IF 0.4
Russian Mathematics Pub Date : 2023-08-01 DOI: 10.3103/s1066369x23080108
M. Kh. Teshaev, I. M. Karimov, A. O. Umarov, Sh. I. Zhuraev
{"title":"Diffraction of Harmonic Shear Waves on an Elliptical Cavity Located in a Viscoelastic Medium","authors":"M. Kh. Teshaev, I. M. Karimov, A. O. Umarov, Sh. I. Zhuraev","doi":"10.3103/s1066369x23080108","DOIUrl":"https://doi.org/10.3103/s1066369x23080108","url":null,"abstract":"","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"43 8","pages":"44 - 48"},"PeriodicalIF":0.4,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138527008","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
Solving Three Systems of Functional Equations Associated with Complex, Double, and Dual Numbers 求解与复数、二重数和对偶数相关的三种泛函方程
Russian Mathematics Pub Date : 2023-07-01 DOI: 10.3103/s1066369x23070058
V. A. Kyrov, G. G. Mikhailichenko
{"title":"Solving Three Systems of Functional Equations Associated with Complex, Double, and Dual Numbers","authors":"V. A. Kyrov, G. G. Mikhailichenko","doi":"10.3103/s1066369x23070058","DOIUrl":"https://doi.org/10.3103/s1066369x23070058","url":null,"abstract":"","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135857932","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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