Vodopyanov, S. K.
Published in
Siberian Mathematical Journal
We prove that each homeomorphism \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \varphi:D\to D^{\prime} $\end{document} of Euclidean domains in \documentclass[12pt]{mi...
Dahskova, O. Y.
Published in
Siberian Mathematical Journal
Studying solvable nonabelian groups of finite metabelian rank, we construct an example of a solvable group of finite metabelian rank and infinite special rank. Also, we describe the structure of solvable groups of finite metabelian rank.
Vesnin, A. Y. Ivanov, M. E.
Published in
Siberian Mathematical Journal
Akimova and Matveev classified the prime virtual knots of genus 1 which admit diagrams with at most 5 classical crossings in 2017. In 2018, Kaur, Prabhakar, and Vesnin introduced the families of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{math...
Ivanov, A. V.
Published in
Siberian Mathematical Journal
We introduce the notion of uniform distribution on a metric compactum. The desired distribution is defined as the limit of a sequence of the classical uniform distributions on finite sets which are uniformly distributed on the compactum in the geometric sense. We show that a uniform distribution exists on the metrically homogeneous compacta and the...
Hu, G. D.
Published in
Siberian Mathematical Journal
We study the delay–dependent stability of linear high-order delay differential systems of neutral type. We firstly derive a bound of the unstable eigenvalues of the neutral systems. The bound of the unstable eigenvalues involves only the norms of the matrices of lower size. Then, using the argument principle, we present some stability criterion tha...
Kondrat’ev, A. S.
Published in
Siberian Mathematical Journal
The Gruenberg–Kegel graph (the prime graph) of a finite group \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ G $\end{document} is the graph whose vertices are the prim...
Tang, J. Gao, B. Zhang, J.
Published in
Siberian Mathematical Journal
A subgroup \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ K $\end{document} of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsf...
Nasibullin, R. G. Makarov, R. V.
Published in
Siberian Mathematical Journal
We study Hardy-type integral inequalities with remainder terms for smooth compactly-supported functions in convex domains of finite inner radius. New \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemar...
Prokhorov, D. V.
Published in
Siberian Mathematical Journal
We construct some counterexamples to the statements [1, 2.3.6] claiming maximal inequalities for the spaces \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ B_{p,q}^{s}(...
Bondar, L. N. Demidenko, G. V.
Published in
Siberian Mathematical Journal
We study the class of systems of differential equations defined by one class of matrix quasielliptic operators and establish solvability conditions for the systems and boundary value problems on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs...