Doklady Mathematics

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Improved bicubic finite-element approximation of the Neumann problem for Poisson’s equation
Doklady Mathematics - Tập 77 - Trang 258-264 - 2008
B. V. Pal’tsev, A. V. Stavtsev, I. I. Chechel’
Opinion Dynamics in Multiagent Systems with Optimal Choice of Opinion Verification Moments
Doklady Mathematics - - 2024
Jingjing Gao, E. M. Parilina
A model of opinion dynamics in a social network that is a multiagent system with a finite number of agents is considered. There is a center influencing the agents’ opinions by applying control, which is an influence level at every time. The center’s costs are represented by a linear-quadratic function of a state variable (agents’ opinions) and its controls. The center of influence aims to choose a... hiện toàn bộ
New Cases of Integrable Odd-Order Systems with Dissipation
Doklady Mathematics - Tập 101 - Trang 158-164 - 2020
M. V. Shamolin
This paper shows the integrability of certain classes of odd-order dynamical systems that are homogeneous with respect to some of the variables and in which a system on the tangent bundle of smooth manifolds is distinguished. In this case, the force fields have dissipation of different signs and generalize previously considered cases.
On first-order definitions of subgraph isomorphism properties
Doklady Mathematics - Tập 96 - Trang 454-456 - 2017
M. E. Zhukovskii
Let φ(F) be the property of containing (as a subgraph) an isomorphic copy of a graph F. It is easy to show that this property cannot be defined in a first-order language by a sentence with a quantifier depth (or variable width) strictly less than the number of vertices in F. Nevertheless, such a definition exists in some classes of graphs. Three classes of graphs are considered: connected graphs w... hiện toàn bộ
Average Tree Solution in Multi-Agent Systems with Network Structure
Doklady Mathematics - - 2024
A. V. Tur, L. A. Petrosyan
Methods of differential games are used to find the optimal solution in a multi-agent system with a network structure. A class of differential games on cycle-free graphs is described. A characteristic function of a special form is used, which takes into account the network structure of the game. The average tree solution is considered as a cooperative optimality principle. An illustrative example i... hiện toàn bộ
On basis properties of root functions of a boundary value problem containing a spectral parameter in the boundary conditions
Doklady Mathematics - Tập 87 - Trang 137-139 - 2013
Z. S. Aliev
Stability Analysis of the Solution to a System of Nonlinear Integral Equations Arising in a Logistic Dynamics Model
Doklady Mathematics - - 2022
M. V. Nikolaev, А. А. Никитин, Ulf Dieckmann
On global solvability of initial value problem for hyperbolic Monge–Ampère equations and systems
Doklady Mathematics - Tập 96 - Trang 377-379 - 2017
D. V. Tunitsky
The communication concerns a theory of global solvability of initial value problem for nonlinear hyperbolic equations with two independent variables that is an immediate analog of a theory of global solvability of ordinary differential equations.
Functional series representable as a sum of two universal series
Doklady Mathematics - Tập 96 - Trang 578-579 - 2018
Sh. Tetunashvili
Series with respect to systems Φ{φn(x)}n=1∞ of measurable and almost everywhere finite functions are discussed. A necessary and sufficient condition for representing any series with respect to a system Φ as a sum of two universal series is formulated. A consequence of the condition is that any series with respect to an arbitrary complete and orthonormal system Φ is a sum of two universal series.
Automorphisms of semitriangular graphs with μ = 6
Doklady Mathematics - Tập 79 Số 3 - Trang 373-376 - 2009
Zyulyarkina, N. D., Makhnev, A. A.
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