Published in Lobachevskii Journal of Mathematics
AbstractA mean field game model in the interpretation of optimal control is investigated theoretically and numerically. This is the problem of minimizing a non-convex and non-coercive objective functional controlled by a coefficient in the Fokker–Planck equation with a time-fractional derivative. The existence of a weak solution to the problem pose...
Published in Lobachevskii Journal of Mathematics
AbstractIn this paper, first we give a new generalization of the Bohr’s inequality for the class of bounded analytic functions \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docu...
Published in Lobachevskii Journal of Mathematics
AbstractThe main goal of this paper is to establish a new approach for some existence and uniqueness of fixed points theorems in 2-cone normed space over the Banach algebras and illustrate an example.
Published in Lobachevskii Journal of Mathematics
AbstractOur main goal in this paper is to investigate some spectral properties of all maximally accretive extensions of the minimal operator in the weighted Hilbert spaces of vector functions. We construct the minimal and maximal operators generated by the first order differential operator expression in the weighted Hilbert space of vector function...
Published in Lobachevskii Journal of Mathematics
AbstractWe define ranks and degrees for families of theories, similar to Morley rank and degree, as well as Cantor–Bendixson rank and degree, and the notion of totally transcendental family of theories. Bounds for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \...
Published in Lobachevskii Journal of Mathematics
AbstractWe obtain asymptotic lower estimate for upper bounds of the deviations of Fejer sums taken over classes of periodic functions that admit analytic extensions to a fixed strip of the complex plane.
Published in Lobachevskii Journal of Mathematics
AbstractWe describe the asymptotic behavior of the conformal modulus of an unbounded doubly connected planar domain, symmetric with respect to the coordinate axes, when stretched in the direction of the abscissa axis with coefficient tending to infinity. Therefore, we give a partial answer to a problem, suggested by M. Vourinen, for the case of unb...
Published in Lobachevskii Journal of Mathematics
AbstractIn this paper, we investigate the solvability of an inverse problem with the Dirichlet condition for a nonlocal analog of a parabolic equation, which generalizes the classical parabolic equation in two spatial variables. Theorems on existence and uniqueness of solution to the considered problem are proved. The inverse problem is solved by u...
Published in Lobachevskii Journal of Mathematics
AbstractGas cavities are deposits of gas, which monitoring is a very important problem for the geological surveys. The determination of the number of gas cavities from seismograms is an important problem, which solution is not possible without extra processing of the seismograms. In this work, we numerically solved the problem of exploring the infl...
Published in Lobachevskii Journal of Mathematics
AbstractA ring \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R$$\end{document} with center \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \us...
