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Oscillation, rotation, and wandering exponents of solutions of differential systems
Pleiades Publishing Ltd - Tập 99 - Trang 729-746 - 2016
Several characteristics of the solutions of a differential system are defined and studied from a unified standpoint, namely, they are arranged in a certain order and unite all known and some new Lyapunov characteristics describing various oscillation and wandering properties. For second-order equations, all of these characteristics coincide with each other, and for autonomous systems, the set of v......
Theorem of Bartle, Dunford, and Schwartz concerning vector measures
Pleiades Publishing Ltd - Tập 7 Số 2 - Trang 147-151 - 1970
Diophantine equation x3?y2=k and Hall's conjecture
Pleiades Publishing Ltd - Tập 32 Số 3 - Trang 617-618 - 1982
Approximation by Piecewise Constant Functions on a Square
Pleiades Publishing Ltd - Tập 75 - Trang 553-562 - 2004
In this paper we consider several algorithms for approximating functions defined on the unit square I = [0,1]2 and ranging in
$$\mathbb{R}^2 $$
. We use functions of zeroth-order Lagrange spline type as the approximation apparatus. They differ from the standard Lagrange splines on the plane by the rule ......
Total population size in critical branching processes in a random environment
Pleiades Publishing Ltd - Tập 91 - Trang 12-21 - 2012
For a critical branching process evolving in a randomenvironment and having geometric distributions of offspring sizes, we study the tail behavior of the distributions of the total size of the population and the maximal number of particles in a generation up to the moment of extinction of the process.
Borel subgroups of Cremona groups
Pleiades Publishing Ltd - Tập 102 - Trang 60-67 - 2017
We prove that the affine-triangular subgroups are Borel subgroups of Cremona groups.
A relationship between the Mahler measure and the discriminant of algebraic numbers
Pleiades Publishing Ltd - Tập 59 - Trang 293-297 - 1996
In this note we show that in the well-known Dobrowolski estimate lnM(α) ≫ (ln lnd/ lnd)3,d → ∞, whereα is a nonzero algebraic number of degreed that is not a root of unity andM(α) is its Mahler measure, the parameterd can be replaced by the quantityδ=d/Δ(α)
1/d, where Δ(α) is the modulus of the discriminant ofα. To this end,α must satisfy the condition degα
p=degα for any primep.
Characterization of Bounded Sets in Terms of Asymptotic Cones and Homotheties
Pleiades Publishing Ltd - Tập 107 - Trang 791-803 - 2020
A characterization of bounded sets in Banach spaces in terms of asymptotic cones and the Hausdorff deviations of sets from them homothetic images is obtained. Similar results for generalizations of the notion of boundedness are presented. Boundedness criteria have previously been known only for recessively compact sets.
Tổng số: 7,654
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