Proceedings of the Steklov Institute of Mathematics
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Construction of a system of linear differential equations from a scalar equation
Proceedings of the Steklov Institute of Mathematics - Tập 271 - Trang 322-338 - 2011
As is well known, given a Fuchsian differential equation, one can construct a Fuchsian system with the same singular points and monodromy. In the present paper, this fact is extended to the case of linear differential equations with irregular singularities.
Local maximality of hyperbolic sets
Proceedings of the Steklov Institute of Mathematics - Tập 273 Số 1 - Trang 23-24 - 2011
Polynomial-Time Approximation Scheme for the Capacitated Vehicle Routing Problem with Time Windows
Proceedings of the Steklov Institute of Mathematics - Tập 307 - Trang 51-63 - 2020
The capacitated vehicle routing problem with time windows (CVRPTW) is a well-known NP-hard combinatorial optimization problem. We present a further development of the approach first proposed by M. Haimovich and A. H. G. Rinnooy Kan and propose an algorithm that, for an arbitrary ε > 0, finds a (1 + ε)-approximate solution for the Euclidean CVRPTW in $$\text{TIME}\;(\text{TSP},\;\rho ,n)\; + \;O({n...... hiện toàn bộ
Algorithm for the continuous estimation of a disturbance in a stochastic differential equation
Proceedings of the Steklov Institute of Mathematics - Tập 275 - Trang 149-160 - 2011
Based on the approach of the theory of dynamic inversion, the problem of continuous estimation of an unknown deterministic disturbance in an Ito stochastic differential equation is investigated with the use of inaccurate measurements of the current phase state. An auxiliary model equation with a control approximating the unknown input is derived. The suggested solution algorithm is constructive; a...... hiện toàn bộ
Polynomial actions in positive characteristic
Proceedings of the Steklov Institute of Mathematics - Tập 280 - Trang 37-42 - 2013
Bounded homotopy theory and the K-theory of weighted complexes
Proceedings of the Steklov Institute of Mathematics - Tập 275 - Trang 199-215 - 2012
Given a bounding class B, we construct a bounded refinement BK(−) of Quillen’s K-theory functor from rings to spaces. As defined, BK(−) is a functor from weighted rings to spaces, and is equipped with a comparison map BK → K induced by “forgetting control.” In contrast to the situation with B-bounded cohomology, there is a functorial splitting BK(−) ≅ K(−)×BK
rel(−) where BK
...... hiện toàn bộ
On improved estimates for parabolic equations with double degeneracy
Proceedings of the Steklov Institute of Mathematics - Tập 278 - Trang 241-250 - 2012
We obtain improved pointwise estimates for solutions to nonlinear parabolic equations with double degeneracy. These estimates differ from the classical estimates known for the linear case in that the supremum of the modulus of a solution is estimated by the sum of two powers of the integral norm of the solution.
Coincidence criteria for maximal stable bridges in two game problems of approach
Proceedings of the Steklov Institute of Mathematics - - 2008
Differential inclusions with measurable-pseudo-Lipschitz right-hand side
Proceedings of the Steklov Institute of Mathematics - Tập 283 - Trang 116-135 - 2014
We obtain existence theorems and Filippov-Ważewski type relaxation theorems for differential inclusions in Banach spaces with measurable-pseudo-Lipschitz right-hand side. For the solution sets of these differential inclusions, we also describe some properties that extend classical theorems on continuous dependence and on differentiation of solutions with respect to initial data.
Tổng số: 1,597
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