Avilov, A. A.
Published in
Mathematical Notes

The forms of the Segre cubic over non-algebraically closed fields, their automorphisms groups, and equivariant birational rigidity are studied. In particular, it is shown that all forms of the Segre cubic over any field have a point and are cubic hypersurfaces.

Çiftçi, C. Aytaç, A.
Published in
Mathematical Notes

A porous exponential dominating set of a graph G is a subset S such that, for every vertex v of G, ∑u∈S(1/2)d(u, v)−1 ≥ l, where d(u, v) is the distance between vertices u and v. The porous exponential domination number, γe*(G), is the minimum cardinality of a porous exponential dominating set. In this paper, we determine porous exponential dominat...

Volosivets, S. S. Kuznetsova, M. A.
Published in
Mathematical Notes

Series of one- and two-dimensional Fourier coefficients in multiplicative systems χ (with bounded generating sequence P={pi}i=1∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{doc...

Jain, P. Singh, M. Singh, A. P. Stepanov, V. D.
Published in
Mathematical Notes

The associate space of the grand Bochner–Lebesgue space Lp)(I; X) is obtained without assuming the Radon–Nikodým property.

Begunts, A. V.
Published in
Mathematical Notes

Pochinka, O. V. Zinina, S. Kh.
Published in
Mathematical Notes

A Lyapunov function for a flow on a manifold is a continuous function which decreases along orbits outside the chain recurrent set and is constant on each chain component. By virtue of C. Conley’s results, such a function exists for any flow generated by a continuous vector field; the very fact of its existence is known as the fundamental theorem o...

Omel’chenko, N. V. Runovskii, K. V.
Published in
Mathematical Notes

Sevast’yanov, E. A.
Published in
Mathematical Notes

We consider a characteristic simultaneously reflecting certain properties of Riemann integrable functions f on the closed interval [0, 1] and properties of some sequence X = {xn} points on [0, 1]. The properties of functions are expressed by characteristics similar to the modulus of continuity, mean oscillation modulus, and the modulus of variation...

Reinov, O. I.
Published in
Mathematical Notes

Denisov, V. N. Bogovskii, A. M.
Published in
Mathematical Notes

For any (possibly unbounded) simply connected domain Ω ⊂ ℝ2 whose complement has nonempty interior, we establish an explicit relation between the solving operators of the elliptic Dirichlet and Neumann boundary-value problems for classes of weak solutions with first derivatives from Lp(Ω). It is assumed that the uniformly elliptic operators are of ...