Published in Lobachevskii Journal of Mathematics
AbstractIn this article, the concept of a Langenhop type constraint on the controls of players is introduced. The relationship between geometric, Langenhop and integral constraints is investigated. For these three classes, the attainability domains of the players are found by admissible controls. The parallel pursuit strategy (\documentclass[12pt]{...
Published in Lobachevskii Journal of Mathematics
AbstractNon-alternating Hamiltonian Lie algebras in three variables over a perfect field of characteristic 2 are considered. A classification of non-alternating Hamiltonian forms over an algebra of divided powers in three variables and of the corresponding simple Lie algebras is given. In particular, it is shown that the non-alternating Hamiltonian...
Published in Lobachevskii Journal of Mathematics
AbstractWe present a brief review of results on the homogeneous Riemann boundary value problem for analytic functions with very general boundary data.
Published in Lobachevskii Journal of Mathematics
AbstractIn this paper the inverse problem of determining the fractional orders in mixed-type equations is considered. In one part of the domain, the considered equation is the subdiffusion equation with a fractional derivative in the sense of Gerasimov–Caputo of the order \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usep...
Published in Lobachevskii Journal of Mathematics
AbstractIn this work, the caliber of the space of subtle (thin) complete coupled (linked) systems of a topological space is studied. It is proved that an infinite cardinal \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} ...
Published in Lobachevskii Journal of Mathematics
AbstractIn the paper, a boundary value problem for a fractionally loaded heat equations is considered in the first quadrant. The questions of the existence and uniqueness of the solution are investigated in the class of continuous functions. The loaded term has the form of the Caputo fractional derivative with respect to the spatial variable, and, ...
Published in Lobachevskii Journal of Mathematics
AbstractThe main aim of this paper is to introduce a new flexible distribution which generalizes the normal distribution. Some properties of the introduced distribution such as PDF, CDF, hazard function, quantiles, moments and generator are derived. Overdispersion, underdispersion and equidispersion are analyzed. The unknown parameters of the distr...
Published in Lobachevskii Journal of Mathematics
AbstractBalayage of measures with respect to classes of all subharmonic or harmonic functions on an open set of a plane or finite-dimensional Euclidean space is one of the main objects of potential theory and its applications to the complex analysis. For a class \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{ams...
Published in Lobachevskii Journal of Mathematics
AbstractIn this paper, the connection between a finally compact, pceudocompact, extremely disconnected, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\aleph$$\end{doc...
Published in Lobachevskii Journal of Mathematics
AbstractIn this paper, we consider a boundary value problems for a systems of loaded integro-differential equations with an involutory transformation. The parameterization method is applied to the boundary value problem for a system with continuous kernel. By using the properties of involutory transformation, the problem is transformed to a boundar...
