Doklady Mathematics
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On first-order definitions of subgraph isomorphism properties
Doklady Mathematics - Tập 96 - Trang 454-456 - 2017
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......
Average Tree Solution in Multi-Agent Systems with Network Structure
Doklady Mathematics - - 2024
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......
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
On global solvability of initial value problem for hyperbolic Monge–Ampère equations and systems
Doklady Mathematics - Tập 96 - Trang 377-379 - 2017
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.
Mathematical model of population dynamics with the world population size stabilizing about a stationary level
Doklady Mathematics - Tập 82 - Trang 978-981 - 2010
Hardy inequalities with exceptional parameter values and applications
Doklady Mathematics - Tập 80 - Trang 558-562 - 2009
On Godunov-type methods of high order of accuracy
Doklady Mathematics - Tập 91 - Trang 189-192 - 2015
On spectral properties of certain regular boundary value problems for higher-order differential operators
Doklady Mathematics - Tập 88 - Trang 645-648 - 2014
Interpolation of Spaces of Functions of Positive Smoothness on a Domain
Doklady Mathematics - Tập 102 - Trang 451-455 - 2021
An interpolation theorem for spaces of functions of positive smoothness on a domain with flexible cone condition is established.
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