Existence and Uniqueness of the Solution to a Degenerate Third Boundary Value Problem for a Multidimensional Parabolic Equation

Siberian Mathematical Journal - We study the well-posedness of a third boundary value problem for a multidimensional parabolic equation in the case when the coefficient of the...     

On the Right-Symmetric Algebras with a Unital Matrix Subalgebra

Siberian Mathematical Journal - Under study are the right-symmetric algebras over a field  $ F $ which possess a “unital” matrix subalgebra  $...     

Unique Solvability of a Linear Parabolic Problem with Nonlocal Time Data

Siberian Mathematical Journal - We consider a problem for a first-order differential equation in a Hilbert space. We replace the initial data with some condition that...     

Essentially Invertible Measurable Operators Affiliated to a Semifinite von Neumann Algebra and Commutators

Siberian Mathematical Journal - Suppose that a von Neumann operator algebra  $ {\mathcal{M}} $ acts on a Hilbert space  $ {\mathcal{H}} $ and $ \tau $...     

Intersections of Three Nilpotent Subgroups in a Finite Group

Siberian Mathematical Journal - We complete the proof of the theorem that any nilpotent subgroups  $ A $ , $ B $ , and  $ C $ of a finite group  $ G $ satisfy...     

A Bilinear Inequality for a Class of Operators of Fractional Integration

Siberian Mathematical Journal - We obtain some criteria for a bilinear inequality of a class of operators of fractional integration that imply the corresponding criteria and...     

The Endotopism Semigroups of a Partial Equivalence Relation

Siberian Mathematical Journal - We study the endotopism semigroups of a nonreflexive partial equivalence. We describe the existence conditions for six types of endotopisms and...     

Almost Complete Transmission of Waves Through Perforated Cross-Walls in a Waveguide with Dirichlet Boundary Condition

Siberian Mathematical Journal - We consider a waveguide composed of two not necessity equal semi-infinite strips (trunks) and a rectangle (resonator) connected by narrow openings...     

On $ \sigma $ -Subnormality of Sylow Subgroups in a Finite Group

Siberian Mathematical Journal - Given an arbitrary partition  $ \sigma $ of the set of primes, we give some criteria for the $ \sigma $ -subnormality of a Sylow subgroup of...     

On the Range of the Quantization Dimension of Probability Measures on a Metric Compactum

Siberian Mathematical Journal - The quantization dimension of a probability measure on a metric compactum  $ X $ does not exceed the box dimension of the support of the measure....     

On a Lemma Arising in the Solution of Waring’s Problem

Siberian Mathematical Journal - We give a simple proof of one assertion used in solving Waring’s problem.     

The Primitive Normality of a Class of Weakly Injective S-Acts

Siberian Mathematical Journal - The notion of weakly injective $ S $ -act can be regarded as a generalization of the notion of injective $ S $ -act. This article describes the finite...     

On the Hilbert Evolution Algebras of a Graph

Evolution algebras are a special class of nonassociative algebras exhibiting connections with various fields of mathematics. Hilbert evolution algebras generalize the concept in the framework of Hilbert spaces. This allows us to deal with a wide class of infinite-dimensional spaces. We study Hilbert evolution algebras associated to a graph. Inspired by the definitions of evolution algebras we define the Hilbert evolution algebra that is associated to a given graph and the Hilbert evolution algebra that is associated to the symmetric random walk on a graph. For a given graph, we provide the conditions for these structures to be or not to be isomorphic. Our definitions and results extend to the graphs with infinitely many vertices. We also develop a similar theory for the evolution algebras associated to finite graphs.

     

On Justification of the Gelfand–Levitan–Krein Method for a Two-Dimensional Inverse Problem

Siberian Mathematical Journal - For a hyperbolic equation of the second order, we consider the inverse problem of recovering the coefficient $ q(x,y) $ in this equation. We discuss the...     

The Solvability of the Cauchy Problem for a Class of Sobolev-Type Equations in Tempered Distributions

Siberian Mathematical Journal - We give sufficient conditions for the existence of a solution to the Cauchy problem for the equation $ P_{2}(D_{x})\partial_{t}^{2}{u}+P_{0}(D_{x})u=0 $ in...     

A Multivalued History-Dependent Operator and Implicit Evolution Inclusions. I

Siberian Mathematical Journal - On the space of continuous functions from a line segment to a reflexive Banach space, we consider some operator whose values are closed convex...     

Inequalities in a Two-Sided Boundary Crossing Problem for Stochastic Processes

Considering a stationary stochastic process with independent increments (Lévy process), we study the probability of the first exit from a strip through its upper boundary. We find the two-sided inequalities for this probability under various conditions on the process.

     

Horizontal Joinability in Canonical 3-Step Carnot Groups with Corank 2 Horizontal Distributions

Siberian Mathematical Journal - We prove that on each 2-step Carnot group with a corank 1 horizontal distribution two arbitrary points can be joined with a horizontal...     

Kulakov Algebraic Systems on Groups

Siberian Mathematical Journal - We define a Kulakov algebraic system as a three-sorted algebraic system satisfying the axioms of a physical structure. We prove...     

Locally Finite Groups with Prescribed Structure of Finite Subgroups

Siberian Mathematical Journal - Let  $ {\mathfrak{M}} $ be a set of finite groups. Given a group  $ G $ , denote the set of all subgroups of  $ G $...