共查询到20条相似文献,搜索用时 453 毫秒
1.
V. V. Skopetskii O. A. Marchenko T. A. Samoilenko 《Cybernetics and Systems Analysis》2009,45(4):562-574
A discrete approximate generalized solution is derived for a nonlinear differential model of the dynamics of two-phase soil
media and its convergence is estimated for the corresponding generalized solution in the space W
2
1 (Ω).
Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 69–80, July–August 2009 相似文献
2.
V. V. Skopetskii O. A. Marchenko T. A. Samoilenko 《Cybernetics and Systems Analysis》2008,44(4):524-536
A mixed initial-boundary-value problem for the nonlinear equations describing the dynamic consolidation of water-saturated
soils is considered. The error of a time-continuous approximate generalized solution is estimated using the finite-element
method.
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 73–88, July–August 2008. 相似文献
3.
The problem-solving time and the solution accuracy are expressed as functions of a parameter. An optimization problem of choosing
the parameter using a “time cost–solution accuracy” criterion is considered. A Pareto-optimal set of solutions is obtained.
The best value of the parameter is chosen by the ideal-point method.
Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 98–105, July–August 2009. 相似文献
4.
K. Sh. Mamedov 《Cybernetics and Systems Analysis》2006,42(2):234-239
The paper outlines a simple technique for determining a narrower interval containing the coordinates of the optimal solution
to integer linear programming problems. Computational experiments show that the lengths of the given ranges of variables decreases
by 30–90% on average.
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Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 86–93, March–April 2006. 相似文献
5.
S. L. Kryvyi 《Cybernetics and Systems Analysis》2007,43(2):171-178
Algorithms are proposed for computing the basis of the solution set of a system of linear Diophantine homogeneous or inhomogeneous
equations in the residue field modulo a prime number.
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Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 15–23, March–April 2007. 相似文献
6.
V. V. Akimenko A. G. Nakonechnyi O. Yu. Trofimchuk 《Cybernetics and Systems Analysis》2007,43(6):838-847
An initial-boundary-value problem for a system of degenerate parabolic integro-differential equations is considered. The sufficient
conditions for the existence and uniqueness of its generalized solution and for the existence of at least one optimal control
for a given performance functional are obtained. A stable numerical solution to the initial-boundary-value problem is derived
for a locally one-dimensional case and conditions are formulated for constructing a stable numerical algorithm of the optimal
control problem on a class of piecewise-smooth control functions.
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 90–102, November–December 2007. 相似文献
7.
E. R. Smol’yakov 《Cybernetics and Systems Analysis》2009,45(2):263-273
A new concept of strong conflict equilibrium is proposed that supplements the well-known fundamental system of conflict equilibria
and considerably increases the possibility of finding a unique strongest equilibrium (solution) in any game problem. The efficiency
of this new equilibrium is illustrated by static and dynamic game problems.
This work was carried out under the program “Basic foundations of information technologies and systems” of the Russian Academy
of Science (Project No. 1–3).
Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 116–127, March–April 2009. 相似文献
8.
V. V. Grigorenko I. M. Romanishin L. A. Sinitskii 《Cybernetics and Systems Analysis》1999,35(5):769-776
Systems of ordinary differential equations with a small parameter at the derivative and specific features of the construction
of their periodic solution are considered. Sufficient conditions of existence and uniqueness of the periodic solution are
presented. An iterative procedure of construction of the steady-state solution of a system of differential equations with
a small parameter at the derivative is proposed. This procedure is reduced to the solution of a system of nonlinear algebraic
equations and does not involve the integration of the system of differential equations. Problems of numerical calculation
of the solution are considered based on the procedure proposed. Some sources of its divergence are found, and the sufficient
conditions of its convergence are obtained. The results of numerical experiments are presented and compared with theoretical
ones.
Translated from Kibemetika i Sistemnyi Analiz, No. 5, pp. 103–110, September–October, 1999. 相似文献
9.
S. L. Kryvyi 《Cybernetics and Systems Analysis》1999,35(4):516-538
Some methods and algorithms of solution of systems of linear Diophantine equations over the naturals are briefly reviewed.
Criteria and an incremental algorithm of efficient solution of the problem of consistency for a system of linear Diophantine
equations and inequalities over the naturals are given.
This research was supported under grant INTAS-RFBR 95-0095.
Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 12–36, July–August, 1999. 相似文献
10.
The Markov properties of the solutions of Ito-Skorokhod stochastic functional-differential equations (SFDEs) with entire prehistory
are considered, the concept of a weak infinitesimal operator is introduced for a Markov process that is a solution of an SFDE,
and the strong solution of the SFDE is analyzed for stability.
Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 123–134, January–February 2009. 相似文献
11.
B. V. Norkin 《Cybernetics and Systems Analysis》2006,42(5):743-749
Necessary and sufficient conditions of existence and uniqueness of solutions of integral equations are established for ruin
probability as a function of the initial capital of an insurance company. Several sufficient conditions and correctness conditions
of the problem of finding ruin probability are also established. A general method of successive approximations for solution
of this problem is substantiated.
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Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 157–164, September–October 2006. 相似文献
12.
L. Yu. Ferdigalov 《Cybernetics and Systems Analysis》1999,35(6):994-998
To solve the Poisson equation in a rectangular domain, a numerical increased-accuracy method is used. This method is based
on the relationship be Ween the values of the function and its derivatives at neighboring nodes of a net domain. Results of
solution of model problems using this method are presented.
Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 176–182, November–December, 1999. 相似文献
13.
V. I. Norkin 《Cybernetics and Systems Analysis》2006,42(2):195-201
Inhomogeneous Wiener-Hopf equations on a halfline with probabilistic kernels are considered. They are analyzed using the theory
of isotonic and contraction operators. Necessary and sufficient conditions of existence and general sufficient conditions
of uniqueness for the solutions of these equations are established. The conditions for and the rate of convergence of successive
approximations of the solution are found.
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Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 39–47, March–April 2006. 相似文献
14.
A mixed initial—boundary-value problem with a discontinuous solution for a system of dynamic equations of water-saturated
soil consolidation is analyzed. The classical solution is proved to be unique. Error estimates are obtained for time-continuous
and fully discrete approximate generalized solutions constructed by the finite-element method.
The study was sponsored by the State Fund for Basic Research (GFFI), Grant No. F7/307-2001.
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 85–100, November–December 2005. 相似文献
15.
V. I. Kudin S. I. Lyashko N. V. Khritonenko Yu. P. Yatsenko 《Cybernetics and Systems Analysis》2007,43(4):563-570
Formulas relating elements of the method in adjacent basis matrices are used to solve a system of linear algebraic equations
and to represent analytically the general solutions to the corresponding system of linear algebraic inequalities for a nondegenerate
constraint matrix.
Sponsored by the ICS NATO program of April 18 2006, in line with the Project “Optimal replacement of information technologies
and stable development (in Kazakhstan, Ukraine, and the USA),” NATO Grant CLG 982209.
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 119–127, July–August 2007. 相似文献
16.
Complex discrete multicriteria problems over a combinatorial set of permutations are analyzed. Some properties of an admissible
domain for a combinatorial multicriteria problem embedded into an arithmetic Euclidian space are considered. Optimality conditions
are obtained for different types of effective solutions. A new approach to solving the problems formulated is constructed
and substantiated.
This work was supported by the Fundamental Research Fund of Ukraine (project Φ251/094).
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Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 158–172, May–June 2008. 相似文献
17.
The master equation of chemical reactions is solved by first approximating it by the Fokker–Planck equation. Then this equation
is discretized in the state space and time by a finite volume method. The difference between the solution of the master equation
and the discretized Fokker–Planck equation is analyzed. The solution of the Fokker–Planck equation is compared to the solution
of the master equation obtained with Gillespie’s Stochastic Simulation Algorithm (SSA) for problems of interest in the regulation
of cell processes. The time dependent and steady state solutions are computed and for equal accuracy in the solutions, the
Fokker–Planck approach is more efficient than SSA for low dimensional problems and high accuracy. 相似文献
18.
M. F. Kaspshitskaya 《Cybernetics and Systems Analysis》1999,35(4):539-542
A class of combinatorial problems is considered whose investigation and solution require the notions of the theory of fuzzy
sets. The necessary and sufficient conditions of stability are given.
Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 36–40, July–August, 1999. 相似文献
19.
I. V. Sergienko V. K. Zadiraka M. D. Babich A. I. Berezovskii P. N. Besarab V. A. Lyudvichenko 《Cybernetics and Systems Analysis》2006,42(5):641-648
The paper is concerned with computer-based techniques for the choice and development of computational resources and their
efficient use to find an approximate solution with a given accuracy in a limited processor time.
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Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 33–41, September–October 2006. 相似文献
20.
S. L. Kryvyi 《Cybernetics and Systems Analysis》2007,43(6):787-798
Algorithms are proposed that construct the basis of the set of solutions to a system of homogeneous or inhomogeneous linear
Diophantine equations in a residue ring modulo n when the prime factors of n are known.
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 27–40, November–December 2007. 相似文献