Search Results - "Alimov, A. A."

Approximative Solar Properties of Sets and Local Geometry of the Unit Sphere by Alimov, A. R.

“…Given a nonempty subset of a normed space, a point of the unit sphere is said to be -acting if some ball touches the set by an analogue of the point , i.e., …”
Get full text

Monotone Path-Connectedness of Strict Suns by Alimov, A. R.

“…We characterize the three-dimensional Banach spaces in which any strict sun is monotone path-connected. Namely, we show that in a three-dimensional space any…”
Get full text

Solarity of Chebyshev Sets in Dual Spaces and Uniquely Remotal Sets by Alimov, A. R.

“…Two max- and min-approximation problems on solarity of sets in dual spaces are considered. It is shown that if the metric projection onto a set is -upper…”
Get full text

Characterization of Sets with Continuous Metric Projection in the Space by Alimov, A. R.

“…We characterize the subsets of the space with continuous (lower semicontinuous) metric projection. One of the characteristic properties is the strict solarity…”
Get full text

Geometric Structure of Chebyshev Sets and Suns in Three-Dimensional Spaces with a Cylindrical Norm by Alimov, A. R.

“…A geometric characterization of Chebyshev sets and suns in three-dimensional polyhedral spaces with cylindrical norm is presented. A number of new properties…”
Get full text

Some Classical Problems of Geometric Approximation Theory in Asymmetric Spaces by Alimov, A. R., Tsar’kov, I. G.

“…We establish a number of theorems of geometric approximation theory in asymmetrically normed spaces. Sets with continuous selection of the near-best…”
Get full text

Features of Distribution of the Allelic Variant of the OAS1 Gene Associated with Severe Form of the Coronavirus Infection in the Russian and Global Populations by Olkova, M. V., Koshel, S. M., Petrushenko, V. S., Alimov, A. A.

“…The study of the geographic distribution of the allelic variant of the OAS1 gene associated with severe form of the infections caused by RNA viruses was…”
Get full text

Selections of the Best and Near-Best Approximation Operators and Solarity by Alimov, A. R.

“…In a finite-dimensional Banach space, a closed set with lower semicontinuous metric projection is shown to have a continuous selection of the near-best…”
Get full text

Bounded Contractibility of Strict Suns in Three-Dimensional Spaces by Alimov, A. R.

“…A strict sun in a finite-dimensional (asymmetric) normed space X , dim X ≤ 3, is shown to be P -contractible, P -solar, B ° -infinitely connected, B °…”
Get full text

Approximatively Compact Sets in Asymmetric Efimov–Stechkin Spaces and Convexity of Almost Suns by Alimov, A. R., Tsar’kov, I. G.

Get full text

On Hypersingular Operators Associated with Peridynamics by Alimov, Sh. A., Sheraliev, Sh. N.

“…For a hypersingular integral operator of the Calderón–Zygmund type associated with problems of peridynamics, we find a Hilbert space that is taken by this…”
Get full text

On the Pinsky Phenomenon for B-Elliptic Operators by Alimov, Sh. A., Pirmatov, Sh. T.

“…Necessary conditions for the summability of spectral expansions in eigenfunctions of an elliptic operator with a Bessel operator in one of the variables in an…”
Get full text

On a Non-Local Problem for a Boussinesq Type Differential Equation by Alimov, Sh. A., Khalmukhamedov, A. R.

“…The nonlocal problem for a differential equation of the Boussinesq type in a multidimensional domain is investigated. The conditions of existence and…”
Get full text

Classical Problems of Rational Approximation by Alimov, A. R., Tsar’kov, I. G.

“…The following classical problems of generalized rational function approximation are studied: existence, uniqueness, and stability, and characterization of best…”
Get full text

Solarity and Proximinality in Generalized Rational Approximation in Spaces and by Alimov, A. R., Tsar’kov, I. G.

“…The present paper is concerned with problems of solarity, proximinality, approximative compactness, stability, and monotone path-connectedness in generalized…”
Get full text

Singularities of Solutions of the Eikonal Equation by Alimov, A. R.

“…The structure of singularities of solutions u (·) of the eikonal equation ∣∇ u ∣ = 1, u ∣∂Ω = 0 on a domain Ω ⊂ ℝ n is studied. To this end, we consider smooth…”
Get full text

Molecular characteristics of non-small cell lung cancer tissue based on quantitative indicators of progesterone receptors expression by Romanov, I. P., Bogush, T. A., Scherbakov, A. M., Alimov, A. A., Bogush, E. A., Ravcheeva, A.  B., Lee, A., Kosorukov, V. S.

“…Background. Progesterone receptors (PR) are regulators of cell proliferation and therefore can be considered as an aim for targeted medications in the…”
Get full text

Complete Sets: Approximative and Structural Properties by Alimov, A. R., Tsarkov, I. G.

“…We address the approximative and structural properties of approximating sets in asymmetric spaces. More precisely, we study the interrelations between the new…”
Get full text

On the Smoothness of a Function at the Convergence Point of Its Spectral Expansion Associated with B-Elliptic Operators by Alimov, Sh. A., Pirmatov, Sh. T.

“…In this paper, the necessary conditions for summability of spectral expansions in eigenfunctions of the Bessel type singular elliptic operator are studied in…”
Get full text

Determining the Thermal Mode Setting Parameters Based on Output Data by Alimov, Sh. A., Komilov, N. M.

“…We consider a mathematical model of the process of heating a cylindrical domain by embedded heat sources under the assumption that heat exchange with the…”
Get full text