Vol 242 (2025)
Articles
Numerical-analytical method for studying the dynamics of hinged elastic plate
Abstract
3-10
The method of equivalent operators in the study of one class of first-order differential operators with constant operator coefficient
Abstract
In this paper, we consider the application of the method of equivalent operators to the differential operator $\mathcal{L}=-d/dt+A: D(\mathcal{L})\subset\mathcal{F}\to\mathcal{F}$ acting in a homogeneous space of functions $\mathcal{F}$. We assume that the operator $A: D(A)\subset\mathcal{H}\to\mathcal{H}$ is a normal operator with compact resolvent in the Hilbert space $\mathcal{H}$. Conditions for its invertibility and estimates for the norm of the inverse in various spaces $\mathcal{F}$ are given.
11-21
Approximations of the percolation probability on a periodic graph $\mathbb{Z}^2$
Abstract
22-40
Enumeration of labeled Eulerian $3$-cacti
Abstract
$k$-Cactus is a connected graph in which each edge is contained in a maximum of $k$ cycles. We obtain exact and asymptotic formulas for the number of labeled Eulerian $3$-cacti with a given number of vertices.
41-45
Classical solution of a mixed problem with the Zaremba boundary condition and conjugation conditions for a semilinear wave equation
Abstract
46-60
The impact of delay and competition on macroeconomic dynamics
Abstract
61-73
Distributions of (non)uniqueness for entire functions of arbitrary growth
Abstract
A simple uniqueness theorem is given for entire functions $f$ on the complex plane $\mathbb{C}$ with upper constraints on the growth of its module $\ln|f|\leq M$. The result is formulated exclusively in terms of the radial integral counting function $\mathsf{N}_Z$ of the distribution of points $Z$, such that $f(Z)=0$. In the opposite direction, a rather general nonuniqueness theorem is obtained on the existence of a nonzero entire function $f$ that vanishes on $Z$, with restrictions on the growth of $\ln|f|$ by small shifts of the countable function $\mathsf{N}_Z$.
74-81
Structure of the essential spectrum and the discrete spectrum of the energy operator of three-magnon systems in the Heisenberg model
Abstract
We consider the energy operator of three-magnon systems in the Heisenberg model and examine the structure of the essential spectrum and the discrete spectrum of the system in the $\nu$-dimensional lattice $Z^{\nu}$ with the coupling nearest neighbors.
82-91
Investigation of the weak solvability of the initial-boundary-value problem for the Navier–Stokes system based on the method of parabolic regularization
Abstract
92-104