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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 Q3 MATHEMATICS
Russian Mathematics
Pub Date : 2023-09-01 DOI: 10.3103/s1066369x23090037

Abstract

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.
摘要 研究了双变量函数不连续线的定位（确定位置）问题：在不连续线外，函数是光滑的，在不连续线上的每一点，函数都有第一类不连续。在不连续线的 Lipschitz 条件下，构建了平均程序，并研究了局部化的全局离散正则化算法。构建了分形线的参数族，对其所有条件都可以进行分析检验。还指出了一种具有较大分形维度的分形，对于这种分形，所构建方法的效率可以得到保证。
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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 Q3 MATHEMATICS
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 Q3 MATHEMATICS
Russian Mathematics
Pub Date : 2023-08-01 DOI: 10.3103/S1066369X23080030
D. Maklakov, S. Gazizova, I. Kayumov
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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 Q3 MATHEMATICS
Russian Mathematics
Pub Date : 2023-08-01 DOI: 10.3103/s1066369x23080042
M. Mirsaburov, S. B. Ergasheva
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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 Q3 MATHEMATICS
Russian Mathematics
Pub Date : 2023-08-01 DOI: 10.3103/s1066369x23080078
V. N. Paimushin, A. M. Kamalutdinov, M. A. Shishov, S. F. Chumakova
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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 Q3 MATHEMATICS
Russian Mathematics
Pub Date : 2023-08-01 DOI: 10.3103/s1066369x23080054
Maryam Mirzapour
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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 Q3 MATHEMATICS
Russian Mathematics
Pub Date : 2023-08-01 DOI: 10.3103/s1066369x2308008x
A. E. Pasenchuk
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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 Q3 MATHEMATICS
Russian Mathematics
Pub Date : 2023-08-01 DOI: 10.3103/s1066369x23080017
U. D. Durdiev
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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 Q3 MATHEMATICS
Russian Mathematics
Pub Date : 2023-08-01 DOI: 10.3103/s1066369x23080108
M. Kh. Teshaev, I. M. Karimov, A. O. Umarov, Sh. I. Zhuraev
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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
Q3 MATHEMATICS
Russian Mathematics
Pub Date : 2023-07-01 DOI: 10.3103/s1066369x23070058
V. A. Kyrov, G. G. Mikhailichenko
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引用次数: 0
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