## Cybernetics and Systems Analysis

 Short Title: Cybern. Syst. Anal. Publisher: Springer US, New York, NY ISSN: 1060-0396; 1573-8337/e Online: http://link.springer.com/journal/volumesAndIssues/10559 Original: Kibernetika i Sistemnyĭ Analiz Predecessor: Cybernetics
 Documents Indexed: 2,993 Publications (since 1991) References Indexed: 2,537 Publications with 37,486 References.
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### Latest Issues

 58, No. 1 (2022) 57, No. 6 (2021) 57, No. 5 (2021) 57, No. 4 (2021) 57, No. 3 (2021) 57, No. 2 (2021) 57, No. 1 (2021) 56, No. 6 (2020) 56, No. 5 (2020) 56, No. 4 (2020) 56, No. 3 (2020) 56, No. 2 (2020) 56, No. 1 (2020) 55, No. 6 (2019) 55, No. 5 (2019) 55, No. 4 (2019) 55, No. 3 (2019) 55, No. 2 (2019) 55, No. 1 (2019) 54, No. 6 (2018) 54, No. 5 (2018) 54, No. 4 (2018) 54, No. 3 (2018) 54, No. 2 (2018) 54, No. 1 (2018) 53, No. 6 (2017) 53, No. 5 (2017) 53, No. 4 (2017) 53, No. 3 (2017) 53, No. 2 (2017) 53, No. 1 (2017) 52, No. 6 (2016) 52, No. 5 (2016) 52, No. 4 (2016) 52, No. 3 (2016) 52, No. 2 (2016) 52, No. 1 (2016) 51, No. 6 (2015) 51, No. 5 (2015) 51, No. 4 (2015) 51, No. 3 (2015) 51, No. 2 (2015) 51, No. 1 (2015) 50, No. 6 (2014) 50, No. 5 (2014) 50, No. 4 (2014) 50, No. 3 (2014) 50, No. 2 (2014) 50, No. 1 (2014) 49, No. 6 (2013) 49, No. 5 (2013) 49, No. 4 (2013) 49, No. 3 (2013) 49, No. 2 (2013) 49, No. 1 (2013) 48, No. 6 (2012) 48, No. 5 (2012) 48, No. 4 (2012) 48, No. 3 (2012) 48, No. 2 (2012) 48, No. 1 (2012) 47, No. 6 (2011) 47, No. 5 (2011) 47, No. 4 (2011) 47, No. 3 (2011) 47, No. 2 (2011) 47, No. 1 (2011) 46, No. 6 (2010) 46, No. 5 (2010) 46, No. 4 (2010) 46, No. 3 (2010) 46, No. 2 (2010) 46, No. 1 (2010) 45, No. 6 (2009) 45, No. 5 (2009) 45, No. 4 (2009) 45, No. 3 (2009) 45, No. 2 (2009) 45, No. 1 (2009) 44, No. 6 (2008) 44, No. 5 (2008) 44, No. 4 (2008) 44, No. 3 (2008) 44, No. 2 (2008) 44, No. 1 (2008) 43, No. 6 (2007) 43, No. 5 (2007) 43, No. 4 (2007) 43, No. 3 (2007) 43, No. 2 (2007) 43, No. 1 (2007) 42, No. 6 (2006) 42, No. 5 (2006) 42, No. 4 (2006) 42, No. 3 (2006) 42, No. 2 (2006) 42, No. 1 (2006) 41, No. 6 (2005) 41, No. 5 (2005) 41, No. 4 (2005) ...and 81 more Volumes
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### Authors

 131 Sergienko, Ivan Vasylyovych 40 Deineka, V. S. 39 Skopetsky, Vasyl V. 36 Chebotarev, Anatoli N. 36 Knopov, Pavel S. 32 Kryvyi, Serhiĭ L. 29 Stoyan, V. A. 28 Kuznetsov, N. Yu. 27 Anisimov, Anatoly V. 26 Gupal, Anatol M. 26 Lyashko, Sergeĭ Ivanovich 25 Bulavatskyĭ, Volodymyr M. 25 Zadiraka, Valeriy K. 24 Kapitonova, Yu. V. 24 Lisovik, Leonid P. 24 Norkin, Vladimir I. 22 Emelichev, Vladimir Alekseevich 22 Yasinskij, V. K. 21 Kovalenko, Igor Mykolaĭovych 20 Chikriĭ, Arkadiĭ Alekseevich 20 Dunaev, B. B. 19 Melikov, Agassi Z. 19 Provotar, A. I. 18 Ermoliev, Yuri M. 18 Smol’yakov, Èduard Rimovich 17 Alekseychuk, Anton Nikolaevich 17 Mikhalevich, Mikhail V. 17 Zgurovsky, Mikhail Z. 16 Khimich, A. N. 16 Ostapenko, V. V. 16 Ponomarenko, Leonid A. 15 Galba, E. F. 15 Kirichenko, N. F. 15 Kotlyar, V. Yu. 15 Pshenichnyj, Boris N. 15 Rystsov, I. K. 14 Kirilyuk, Vitaly S. 14 Korolyuk, Volodymyr Semenovych 14 Mayko, Nataliya Valentynivna 14 Parasyuk, I. N. 14 Romm, Ya. E. 14 Semenova, N. V. 14 Stoĭkova, L. S. 14 Voronin, A. N. 13 Khilenko, V. V. 13 Koval’chuk, L. V. 13 Lytvyn, Oleg M. 13 Red’ko, V. N. 13 Stoyan, Yuriĭ Grygorovych 13 Yakovlev, Sergey V. 12 Koba, E. V. 12 Lebedeva, T. T. 12 Mikhailyuk, Victor A. 12 Rotshtein, A. P. 12 Shor, Naum Zuselevich 12 Yurchenko, I. V. 11 Doroshenko, A. E. 11 Gladky, A. V. 11 Iemets, Ol. O. 11 Kuntsevych, Vsevolod Mykhaĭlovych 11 Prikazchikov, Viktor G. 11 Sergienko, Tatyana I. 11 Sharifov, F. A. 11 Stetsyuk, Petro I. 11 Yasynsky, V. K. 11 Yushchenko, E. L. 10 Akimenko, Vitalii V. 10 Babich, M. D. 10 Berezovskij, O. A. 10 Chabanyuk, Yaroslav M. 10 Korkhin, Arnold S. 10 Martsenyuk, Vasyl’ P. 10 Pankratova, Nataliya D. 10 Romanova, Tatiana E. 10 Skobelev, Vladimir G. 10 Tatashev, Alexander Gennadjevich 9 Donets, Georg A. 9 Hnativ, L. O. 9 Jelfimova, L. D. 9 Letychevs’kyĭ, Oleksandr Adol’fovych 9 Levin, Vitaliĭ Il’ich 9 Lyashko, N. I. 9 Malyk, Igor V. 9 Melnik, Valery S. 9 Molchanov, Igor N. 9 Nakonechny, A. G. 9 Norkin, B. V. 9 Petunin, Yuriĭ Ivanovich 9 Pizyur, Ya. V. 9 Rudenko, O. G. 9 Selezov, Igor Timofeevich 9 Volkov, V. A. 8 Aida-Zade, Kamil Rajab 8 Barashko, A. S. 8 Bondarev, Borys Volodymyrovych 8 Burdyuk, V. Ya. 8 Diduk, N. N. 8 Glazunov, Mykola Mykhaĭlovych 8 Godlevsky, A. B. 8 Grebennik, Igor V. ...and 2,115 more Authors
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### Fields

 972 Computer science (68-XX) 615 Operations research, mathematical programming (90-XX) 386 Systems theory; control (93-XX) 328 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 310 Numerical analysis (65-XX) 278 Probability theory and stochastic processes (60-XX) 199 Calculus of variations and optimal control; optimization (49-XX) 197 Statistics (62-XX) 191 Information and communication theory, circuits (94-XX) 130 Partial differential equations (35-XX) 98 Biology and other natural sciences (92-XX) 95 Combinatorics (05-XX) 75 Ordinary differential equations (34-XX) 62 Linear and multilinear algebra; matrix theory (15-XX) 61 Mathematical logic and foundations (03-XX) 46 Mechanics of deformable solids (74-XX) 45 Fluid mechanics (76-XX) 37 Operator theory (47-XX) 36 Approximations and expansions (41-XX) 34 Number theory (11-XX) 33 History and biography (01-XX) 28 Real functions (26-XX) 25 Order, lattices, ordered algebraic structures (06-XX) 24 Geophysics (86-XX) 22 Convex and discrete geometry (52-XX) 20 Dynamical systems and ergodic theory (37-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 19 Optics, electromagnetic theory (78-XX) 15 Group theory and generalizations (20-XX) 15 Integral equations (45-XX) 12 Measure and integration (28-XX) 11 Functional analysis (46-XX) 10 Algebraic geometry (14-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 General algebraic systems (08-XX) 8 Commutative algebra (13-XX) 8 Category theory; homological algebra (18-XX) 8 General topology (54-XX) 8 Mechanics of particles and systems (70-XX) 7 Quantum theory (81-XX) 6 Field theory and polynomials (12-XX) 6 Integral transforms, operational calculus (44-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 Geometry (51-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 2 Associative rings and algebras (16-XX) 2 Difference and functional equations (39-XX) 2 Relativity and gravitational theory (83-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX)

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1,468 Publications have been cited 4,290 times in 2,293 Documents Cited by Year
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An extragradient algorithm for monotone variational inequalities. Zbl 1311.49024
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Conflict controlled processes with discontinuous trajectories. Zbl 1127.91310
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Low-cost modification of Korpelevich’s methods for monotone equilibrium problems. Zbl 1297.49014
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Stability and duality of nonconvex problems via augmented Lagrangian. Zbl 1033.90083
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Multivalued dynamics of solutions of an autonomous differential-operator inclusion with pseudomonotone nonlinearity. Zbl 1300.47084
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Stability of vector problems of integer optimization: relationship with the stability of sets of optimal and nonoptimal solutions. Zbl 1098.90066
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Generalized Mittag-Leffler matrix functions in game problems for evolutionary equations of fractional order. Zbl 1007.91010
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2000
Calculating Gross Domestic product as a function of labor and capital. Zbl 1098.91090
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Optimal control of an elliptic-parabolic system with conjugation conditions. Zbl 1124.49300
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Analytical representation of perturbations of pseudoinverse matrices. Zbl 0906.15003
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Modified $$r$$-algorithm to find the global minimum of polynomial functions. Zbl 0916.90248
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Stability of discrete optimization problems. Zbl 0829.90118
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Analytical representations of matrix and integral linear transformations. Zbl 0918.15002
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Numerical systems analysis of multicomponent distributed systems. Zbl 1297.93076
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Comparative analysis of different types of stability with respect to constraints of a vector integer-optimization problem. Zbl 1066.90118
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Maximal local classes of partial functions of infinite-valued logic. Zbl 0875.04003
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Stability of discrete vector problems with the parametric principle of optimality. Zbl 1090.90170
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Method of resolving functions in the theory of conflict-controlled processes. Zbl 1311.91038
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2012
Optimal pattern recognition procedures and their application. Zbl 1154.68499
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2007
Different types of stability of vector integer optimization problem: General approach. Zbl 1143.90360
Lebedeva, T. T.; Sergienko, T. I.
2008
Approach to functional specification of automaton systems. I. Zbl 0939.68709
Chebotarev, A. N.
1993
Stock optimization in transportation/storage systems. Zbl 0875.90303
Melikov, A. Z.; Molchanov, A. A.
1992
Stability of a vector integer quadratic programming problem with respect to vector criterion and constraints. Zbl 1119.90055
Lebedeva, T. T.; Sergienko, T. I.
2006
Macroeconomic governmental regulation and self-regulation of market equilibrium. Zbl 1119.91352
Dunaev, B. B.
2006
Antagonistic game with interval payoff functions. Zbl 1132.91329
Shashikhin, V. N.
2004
From Kalman-Mesarovic realization to a normal-hyperbolic linear model. Zbl 1202.93018
Daneev, A. V.; Rusanov, V. A.; Rusanov, M. V.
2005
Estimation of the number of “good” permutations with applications to cryptography. Zbl 0962.68059
Cooper, C.; Gilchrist, R.; Kovalenko, I. N.; Novakovic, D.
1999
Solution of nonconvex nonsmooth stochastic optimization problems. Zbl 1066.90071
Ermoliev, Yu. M.; Norkin, V. I.
2003
Control game problems for quasilinear systems with Riemann-Liouville fractional derivatives. Zbl 1117.91012
Chikrii, A. A.; Èidelman, S. D.
2001
Hybrid splitting methods for the system of operator inclusions with monotone operators. Zbl 1317.65128
Semenov, V. V.
2014
Upper bound on the number of complete maps. Zbl 0877.05003
Kovalenko, I. N.
1996
Problems of group pursuit with integral constraints on controls of the players. I. Zbl 1298.91045
Samatov, B. T.
2013
Mathematical modeling of interactions of primary geometric 3D objects. Zbl 1102.68684
Scheithauer, G.; Stoyan, Yu. G.; Romanova, T. Ye.
2005
Measuring unemployment and inflation as wages functions. Zbl 1124.91348
Dunaev, B. B.
2005
Estimation of the length of reset words for automata with simple idempotents. Zbl 0999.68115
Rystsov, I. K.
2000
Analytical method for solution of the game problem of soft landing for moving objects. Zbl 1003.93027
Albus, J.; Meystel, A.; Chikrii, A. A.; Belousov, A. A.; Kozlov, A. I.
2001
Proof of David Kendall’s conjecture concerning the shape of large random polygons. Zbl 0922.60022
Kovalenko, I. N.
1997
Problems on insurance of catastrophic risks. Zbl 1055.91047
Ermol’ev, Yu. M.; Ermol’eva, T. Yu.; McDonald, G.; Norkin, V. I.
2001
Generalized mathematical model of the dynamics of consolidation processes with relaxation. Zbl 1162.68799
Bulavatsky, V. M.; Skopetskii, V. V.
2008
A randomized method for solving discrete ill-posed problems. Zbl 1311.65043
Rachkovskij, D. A.; Revunova, E. G.
2012
Existence of solutions in vector optimization problems. Zbl 1088.90538
Sergienko, I. V.; Lebedeva, T. T.; Semenova, N. V.
2000
A version of the mirror descent method to solve variational inequalities. Zbl 1384.49014
Semenov, V. V.
2017
Method of ordering the values of a linear function on a set of permutations. Zbl 1187.68335
Donets, G. A.; Kolechkina, L. N.
2009
Monetary control of economic equilibrium. Zbl 1298.91109
Dunaev, B. B.
2012
Solving combined inverse problems for multicomponent parabolic distributed systems. Zbl 1153.35085
Sergienko, I. V.; Deineka, V. S.
2007
Stochastic generalized gradient method for nonconvex nonsmooth stochastic optimization. Zbl 0930.90074
Ermol’ev, Yu. M.; Norkin, V. I.
1998
Rank of a finite automaton. Zbl 0875.68658
Rystsov, I. K.
1992
Algorithms of nondifferentiable optimization: development and application. Zbl 1103.90101
Shor, N. Z.; Zhurbenko, N. G.; Likhovid, A. P.; Stetsyuk, P. I.
2003
A multivariate partition approach to optimization problems. Zbl 1033.90127
Huang, H. X.; Pardalos, P. M.
2002
Solution of the safe problem on (0,1)-matrices. Zbl 1054.15004
Donets, G. A.
2002
Heuristic methods for the analysis of a queueing system describing emergency medical service deployed along a highway. Zbl 1119.90306
Atkinson, J. B.; Kovalenko, I. N.; Kuznetsov, N. Yu.; Mikhalevich, K. V.
2006
Mathematical simulation of a dynamic game in the enterprise competition problem. Zbl 1132.91355
Konstantinov, R. V.; Polovinkin, E. S.
2004
Reliability analysis of computer solutions of systems of linear algebraic equations with approximate initial data. Zbl 1176.65049
Khimich, A. N.; Nikolaevskaya, E. A.
2008
Reducing two-stage probabilistic optimization problems with discrete distribution of random data to mixed-integer programming problems. Zbl 1308.90117
Norkin, V. I.; Kibzun, A. I.; Naumov, A. V.
2014
Methods for analysis of multi-channel queueing system with instantaneous and delayed feedbacks. Zbl 1338.90132
Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M.
2016
Theory and software implementations of Shor’s $$r$$-algorithms. Zbl 1382.65181
Stetsyuk, P. I.
2017
The method of artificial space dilation in problems of optimal packing of geometric objects. Zbl 1392.90099
Yakovlev, S. V.
2017
An approach to solving discrete vector optimization problems over a combinatorial set of permutations. Zbl 1143.90388
Semenova, N. V.; Kolechkina, L. N.; Nagirna, A. N.
2008
Randomized projective methods for the construction of binary sparse vector representations. Zbl 1276.68144
Rachkovskij, D. A.; Misuno, I. S.; Slipchenko, S. V.
2012
A mathematical programming problem with the fuzzy set of indices of constraints. Zbl 1306.90191
Mashchenko, S. O.
2013
Multivalued mappings and their selectors in the theory of conflict-controlled processes. Zbl 1174.91305
Chikriĭ, A. A.; Rappoport, I. S.; Chikriĭ, K. A.
2007
Stability in vector optimization path problems. Zbl 0849.90103
Emelichev, V. A.; Kravtsov, M. K.
1995
$$\alpha$$-concave functions and measures and their applications. Zbl 0875.90336
Norkin, V. I.; Roenko, N. V.
1991
Limiting representations of weighted pseudoinverse matrices with positive definite weights. Problem regularization. Zbl 1071.65046
Sergienko, I. V.; Galba, E. F.; Deineka, V. S.
2003
Classification of applied methods of combinatorial optimization. Zbl 1188.90220
Sergienko, I. V.; Hulianytskyi, L. F.; Sirenko, S. I.
2009
Using the effect of information delay in differential pursuit games. Zbl 1253.91028
Chikrii, G. Ts.
2007
Fractional differential analog of biparabolic evolution equation and some its applications. Zbl 1369.35104
Bulavatsky, V. M.
2016
Integer cosine transforms for high-efficiency image and video coding. Zbl 1353.65141
Hnativ, L. O.
2016
Perturbation bounds for the least squares problem. Zbl 0877.15005
Khimich, A. N.
1996
Combinatorial configurations in balance layout optimization problems. Zbl 1393.90102
Grebennik, I. V.; Kovalenko, A. A.; Romanova, T. E.; Urniaieva, Inna A.; Shekhovtsov, S. B.
2018
Mathematical modeling of fractional differential filtration dynamics based on models with Hilfer-Prabhakar derivative. Zbl 1380.93038
Bulavatsky, V. M.
2017
Formation of similarity-reflecting binary vectors with random binary projections. Zbl 1317.93233
Rachkovskij, D. A.
2015
Money supply and interest rate in economics equilibrium. Zbl 1203.91187
Dunaev, B. B.
2010
Systems specification by basic protocols. Zbl 1103.68370
Letichevsky, A. Ad.; Kapitonova, Yu. V.; Volkov, V. A.; Letichevsky, A. A.; Baranov, S. N.; Kotlyarov, V. P.; Weigert, T.
2005
Macroeconomic model of reproduction. Zbl 1207.91042
Dunaev, B. B.
2005
Methods of computing weighted pseudoinverse matrices with singular weights. Zbl 0960.65042
Galba, E. F.; Molchanov, I. N.; Skopetskii, V. V.
1999
Construction of convex continuations for functions defined on a hypersphere. Zbl 0915.90224
Stoyan, Yu. G.; Yakovlev, S. V.; Emets, O. A.; Valuiskaya, O. A.
1998
Issues of algorithmics and Glushkov’s systems of algorithmic algebras. Zbl 0931.68054
Yushchenko, E. L.; Tseitlin, G. E.
1998
Determining the number of fast and slow components in decomposition of arbitrarily large linear dynamical models. Zbl 0875.65054
Grishchenko, A. Z.; Khilenko, V. V.
1991
Pseudoinverse and projection matrices in problems of synthesis of functional transformers. Zbl 1102.68115
Kirichenko, N. F.; Krak, Yu. V.; Polishchuk, A. A.
2004
A modification of the method of combinatorial truncation in optimization problems over vertex-located sets. Zbl 1188.90226
Yemets, O. A.; Yemets, Ye. M.
2009
Algorithms for solving systems of linear Diophantine equations in integer domains. Zbl 1117.65046
Kryvyi, S. L.
2006
Problems of discrete optimization: challenges and main approaches to solve them. Zbl 1119.90001
Sergienko, I. V.; Shylo, V. P.
2006
System approach to mathematical modeling of filtration consolidation. Zbl 1122.68726
Bulavatskii, V. M.; Skopetskii, V. V.
2006
Mathematical modeling in the geoinformation problem of the dynamics of geomigration under space-time nonlocality. Zbl 1308.86002
Bulavatsky, V. M.; Krivonos, Yu. G.
2012
Mathematical modeling of the interaction of non-oriented convex polytopes. Zbl 1308.52010
Stoyan, Yu. G.; Chugay, A. M.
2012
Improved accuracy estimates of the difference scheme for the two-dimensional parabolic equation with regard for the effect of initial and boundary conditions. Zbl 1368.65142
Mayko, N. V.
2017
Configuration space of geometric objects. Zbl 1420.55028
Stoyan, Y. G.; Yakovlev, S. V.
2018
Extension of the automaton specification logical language and the synthesis problem. Zbl 0893.68099
Chebotarev, A. N.
1996
Representations and expansions of weighted pseudoinverse matrices, iterative methods, and problem regularization. II. singular weights. Zbl 1155.65030
Sergienko, I. V.; Galba, E. F.; Deineka, V. S.
2008
Existence and uniqueness theorems in the theory of weighted pseudoinverses with singular weights. Zbl 1298.65070
Sergienko, I. V.; Galba, Ye. F.; Deineka, V. S.
2011
Methods for obtaining reliable solutions to systems of linear algebraic equations. Zbl 1302.65082
Sergienko, I. V.; Khimich, A. N.; Yakovlev, M. F.
2011
Vector optimization problems with linear criteria over a fuzzy combinatorial set of alternatives. Zbl 1298.90141
Semenova, N. V.; Kolechkina, L. N.; Nagirna, A. M.
2011
The rate of growth of wage rate as a function of unemployment rate. Zbl 1303.91106
Dunaev, B. B.
2011
Safety-first portfolio selection. Zbl 1298.91144
Norkin, V. I.; Boyko, S. V.
2012
Mathematical modeling of three-dimensional fields of transverse dynamic displacements of thick elastic plates. Zbl 1305.74058
Stoyan, V. A.; Dvirnychuk, K. V.
2013
Balance layout problem for 3D-objects: mathematical model and solution methods. Zbl 1341.68295
Kovalenko, A. A.; Romanova, T. E.; Stetsyuk, P. I.
2015
General approach to estimating the complexity of postoptimality analysis for discrete optimization problems. Zbl 1208.90118
Mikhailyuk, V. A.
2010
Solution of inverse boundary-value problems for multicomponent parabolic distributed systems. Zbl 1153.35084
Sergienko, I. V.; Deineka, V. S.
2007
Analyzing an $$M|M| N$$ queueing system with feedback by the method of asymptotic analysis. Zbl 1475.60185
Nazarov, A.; Melikov, A.; Pavlova, E.; Aliyeva, S.; Ponomarenko, L.
2021
Banking regulation of macroeconomic processes. Zbl 1470.91312
Dunaev, B. B.
2021
Analyzing the models of speech recognition on the basis of neural networks of deep learning for examination of digital phonograms. Zbl 07378049
Solovyov, V. I.; Rybalskiy, O. V.; Zhuravel, V. V.; Semenova, N. V.
2021
Integer modified sine-cosine transforms type VII. A construction method and separable directional adaptive transforms for intra prediction with $$8 \times 8$$ chroma blocks in image/video coding. Zbl 07378052
Hnativ, L. O.; Luts, V. K.
2021
Formalization of influence processes of fuzzy time flow on the solution to time resource distribution problems. Zbl 1472.90146
Ivohin, E. V.
2021
Sparse balanced layout of spherical voids in three-dimensional domains. Zbl 1472.90131
Stoyan, Y. G.; Romanova, T. E.; Pankratov, O. V.; Stetsyuk, P. I.; Stoian, Y. E.
2021
Mathematical modeling of quadratically nonlinear spatially distributed systems. I: The case of discretely defined initial-boundary external-dynamic perturbations. Zbl 1478.93437
Stoyan, V. A.
2021
Analysis of the results of a computing experiment to restore the discontinuous functions of two variables using projections. I. Zbl 07441878
Lytvyn, O. M.; Lytvyn, O. G.
2021
Constructing integral mathematical models of two classes of nonlinear spatially distributed systems. II: The case of continuously defined external-dynamic perturbations. Zbl 1454.93099
Stoyan, V. A.
2020
Theory and methods of Euclidian combinatorial optimization: current status and prospects. Zbl 1458.90562
Stoyan, Y. G.; Yakovlev, S. V.
2020
Chebyshev approximation by a rational expression for functions of many variables. Zbl 1458.65017
Malachivskyy, P. S.; Pizyur, Ya. V.; Malachivsky, R. P.
2020
Chebyshev approximation of functions of several variables. Zbl 1455.65030
Malachivskyy, P. S.; Pizyur, Ya. V.; Malachivskyi, R. P.; Ukhanska, O. M.
2020
A model of economy operation under currency market rate. Zbl 1454.91135
Dunaev, B. B.; Lyubich, A. A.
2020
Algorithms for fast implementation of 4-point integer sine type VII transforms without multiplication and separable directional adaptive transforms for intra prediction in image/video coding. Zbl 1458.94034
Hnativ, L. O.; Luts, V. K.
2020
Stochastic optimal control of a descriptor system. Zbl 1454.93296
Vlasenko, L. A.; Rutkas, A. G.; Semenets, V. V.; Chikrii, A. A.
2020
Integral operators that determine the solution of an iterated hyperbolic-type equation. Zbl 1463.45055
Alexandrovich, I. M.; Bondar, O. S.; Lyashko, S. I.; Lyashko, N. I.; Sydorov, M. V.-S.
2020
Improvement of the signature-system method by applying priority features in the composition of the monitored object signatures to ensure maximum probability of correct recognition. Zbl 1458.94304
Iliashov, O.; Komarov, V.
2020
Generalized optimization of processes of drug transport in tumors. Zbl 1455.35268
Klyushin, D. A.; Lyashko, S. I.; Lyashko, N. I.; Bondar, O. S.; Tymoshenko, A. A.
2020
Modeling the control effects of the banking system on the functioning of the economy. I: Dynamics and adjustment of crisis situations. Zbl 1454.91339
Khilenko, V. V.
2020
Continuous-time switching regression method with unknown switching points. Zbl 1454.62216
Knopov, P. S.; Korkhin, A. S.
2020
Fuzzy probabilities of fuzzy events. Zbl 1454.93271
Provotar, O. I.; Provotar, O. O.
2020
Application of blockchain technologies for improving the quality of ACS of complex dynamic systems. Zbl 07284548
Khilenko, V. V.
2020
Generalized gradients in dynamic optimization, optimal control, and machine learning problems. Zbl 1464.49016
Norkin, V. I.
2020
A method to solve conditional optimization problems with quadratic objective functions on the set of permutations. Zbl 1454.90073
Donets, G. P.; Koliechkina, L. M.; Nahirna, A. M.
2020
Mixed encoding of collections of microoperations for a microprogram finite-state machine. Zbl 1466.94072
Barkalov, A. A.; Titarenko, L. A.; Baiev, A. V.; Matviienko, A. V.
2020
Control synthesis for temperature maintaining process in a heat supply problem. Zbl 1459.80013
Aida-zade, K. R.; Abdullayev, V. M.
2020
Some boundary-value problems of fractional-differential mobile-immobile migration dynamics in a profile filtration flow. Zbl 1456.76126
Bulavatsky, V. M.; Bohaienko, V. O.
2020
An approximate method of constructing a switching regression with unknown switch points. Zbl 1454.62265
Korkhin, A. S.
2020
Solutions of the combinatorial problem with a quadratic fractional objective function on the set of permutations. Zbl 1454.90077
Koliechkina, L.; Nahirna, A.
2020
Application of buffered probability of exceedance in reliability optimization problems. Zbl 1454.74123
Zrazhevsky, G. M.; Golodnikov, A. N.; Uryasev, S. P.; Zrazhevsky, A. G.
2020
Super-exponential rate of convergence of the Cayley transform method for an abstract differential equation. Zbl 1464.34085
Mayko, N. V.
2020
Checking the randomness of bits disposition in local segments of the $$(0, 1)$$-sequence. Zbl 1455.60023
Masol, V. I.; Popereshnyak, S. V.
2020
Analysis of neurosurgical pathologies using Bayesian recognition procedures for indicators of surface plasmon resonance in the aggregation of blood cells. Zbl 1454.62336
Gridina, N. Ya.; Gupal, A. M.; Tarasov, A. L.; Ushenin, Yu. V.
2020
Input-output productivity cost analysis of the economy of Ukraine: selected cross-countries and intertemporal comparison. Zbl 1454.91115
Yastremskii, O.
2020
Improvement of analytic hierarchy process based on the refinement of the procedures for the formation of pairwise comparison matrices. Zbl 07285124
Potomkin, M. M.; Nikolaienko, M. V.; Grazion, D. I.
2020
Modeling the control effects of the banking system on the functioning of the economy. II: Selection and special features of application of optimization algorithms. Zbl 1454.91340
Khilenko, V. V.
2020
An approach to development of a mathematical model for determination of monitoring objects using informativeness of their monitoring indicators. Zbl 07285411
Iliashov, O.; Komarov, V.
2020
High-performance supercomputer technologies of simulation of nanoporous feedback systems for adsorption gas purification. Zbl 1454.93078
Petryk, M. R.; Boyko, I. V.; Khimich, O. M.; Petryk, M. M.
2020
Variational statements and discretization of the boundary-value problem of elasticity where stress at the boundary is known. Zbl 1454.74014
Vareniuk, N. A.; Galba, E. F.; Sergienko, I. V.
2020
Decomposition of descriptor control systems. Zbl 1454.93051
Vlasenko, L. A.; Rutkas, A. G.; Semenets, V. V.; Chikrii, A. A.
2020
Multi-objective optimization problem: stability against perturbations of input data in vector-valued criterion. Zbl 07285429
Lebedeva, T. T.; Semenova, N. V.; Sergienko, T. I.
2020
An adaptive two-stage proximal algorithm for equilibrium problems in Hadamard spaces. Zbl 07285432
Vedel, Ya. I.; Sandrakov, G. V.; Semenov, V. V.
2020
Denisov, S. V.; Semenov, V. V.; Stetsyuk, P. I.
2019
Formalizing spatial configuration optimization problems with the use of a special function class. Zbl 1461.90127
Yakovlev, S. V.
2019
Methods of linear algebra in the analysis of certain classes of nonlinear discretely transformative systems. I: Multiplicative nonlinear systems. Zbl 1420.93015
Stoyan, V. A.
2019
Convergence of two-stage method with Bregman divergence for solving variational inequalities. Zbl 1485.49018
Nomirovskii, D. A.; Rublyov, B. V.; Semenov, V. V.
2019
Constructing integral mathematical models of two classes of nonlinear spatially distributed systems. I: The case of discretely defined external-dynamic perturbations. Zbl 1430.93095
Stoyan, V. A.
2019
Methods of linear algebra in the analysis of certain classes of nonlinear discretely transformative systems. II: Systems with additively selected nonlinearity. Zbl 1420.93016
Stoyan, V. A.
2019
On the quasistability radius for a multicriteria integer linear programming problem of finding extremum solutions. Zbl 1451.90098
Emelichev, V.; Nikulin, Yu.
2019
Approximate guaranteed mean square estimates of functionals on solutions of parabolic problems with fast oscillating coefficients under nonlinear observations. Zbl 1461.35027
Nakonechnyi, O. G.; Kapustian, O. A.; Chikrii, A. O.
2019
Parallel computing technologies for solving optimization problems of geometric design. Zbl 1442.90184
Romanova, T. E.; Stetsyuk, P. I.; Chugay, A. M.; Shekhovtsov, S. B.
2019
Detecting fictitious states in a $$\Sigma$$-automaton synthesized from its specification in the language LP. Zbl 1448.68261
Chebotarev, A. N.
2019
Expansions of weighted pseudoinverses with mixed weights into matrix power series and power products. Zbl 1428.15003
Galba, E. F.; Vareniuk, N. A.
2019
Boundary effect in accuracy estimate of the grid method for solving fractional differential equations. Zbl 1483.65171
Makarov, V. L.; Mayko, N. V.
2019
Continuous model for the devastating oscillation dynamics of local forest pest populations in Canada. Zbl 1420.92099
Perevaryukha, A. Yu.
2019
Interbranch chessboard of uncertainty and its applications: forecasting, economic policy, fiscal risk, general equilibrium. Zbl 1422.91543
Yastremskii, O.
2019
Optimization of production income tax rate. Zbl 1422.91524
Dunaev, B. B.
2019
Factorization in problems of control and dynamics of lengthy systems. Zbl 07097121
Kaliukh, Yu. I.; Vusatiuk, A. Ye.
2019
Methods for finding a regularized solution when identifying linear multivariable multiconnected discrete systems. Zbl 1441.93054
Gubarev, V. F.; Romanenko, V. D.; Miliavskyi, Yu. L.
2019
Exact estimates for some linear functionals of unimodal distribution functions under incomplete information. Zbl 1436.60024
Stoikova, L. S.; Kovalchuk, L. V.
2019
Cyclic-retrial queuing systems with dispatching. Zbl 1436.90035
Koba, E. V.
2019
A fuzzy cognitive approach to ranking of factors affecting the reliability of man-machine systems. Zbl 1436.90037
Rotshtein, A.; Katielnikov, D.; Kashkanov, A.
2019
Polyhedral coherent risk measures and robust optimization. Zbl 1437.91135
Kirilyuk, V. S.
2019
Mathematical methods to find optimal control of oscillations of a hinged beam (deterministic case). Zbl 1460.49004
Zrazhevsky, G.; Golodnikov, A.; Uryasev, S.
2019
Problems of constructing intelligent systems. Knowledge representation. Zbl 1468.68227
Meytus, V. Yu.
2019
A new fast recursive matrix multiplication algorithm. Zbl 1432.65055
Jelfimova, L. D.
2019
Qualitative and quantitative analysis of weak solutions of energy-balance climate models. Zbl 1427.37066
Zgurovsky, M. Z.; Kas&rsquo;yanov, P. O.; Gorban&rsquo;, N. V.; Paliĭchuk, L. S.
2019
Optimizing the arrangement of lumped sources and measurement points of plate heating. Zbl 1427.74141
Aĭda-zade, K. R.; Hashimov, V. A.
2019
Upper bounds on the imbalance of discrete functions implemented by sequences of finite automata. Zbl 1434.68223
Alekseychuk, A. N.; Koniushok, S. M.; Poremskyi, M. V.
2019
Some nonlocal boundary-value problems for the biparabolic evolution equation and its fractional-differential analog. Zbl 1470.74041
Bulavatsky, V. M.
2019
Stochastic optimization models for risk-based reservoir management. Zbl 1420.93037
Ermoliev, Yu.; Ermolieva, T.; Kahil, T.; Obersteiner, M.; Gorbachuk, V.; Knopov, P.
2019
Supersingular twisted Edwards curves over prime fields. I: Supersingular twisted Edwards curves with $$j$$-invariants equal to zero and $$12^3$$. Zbl 1443.11116
Bessalov, A. V.; Kovalchuk, L. V.
2019
Diffraction of elastic waves by a sphere in the semi-bounded region. Zbl 1454.74091
Selezov, Igor T.
2019
Estimating the structure of a discontinuous layer by tomographic methods. Zbl 1453.86035
Lytvyn, O. M.; Lytvyn, Î. O.; Dragun, V. V.
2019
Method for localizing the zeros of analytic functions based on the Krawczyk operator. Zbl 07097109
Semenov, V. Yu.; Semenova, E. V.
2019
Problem of mathematical data interpretation. I: Lumped-parameter systems. Zbl 1420.93005
Gubarev, V. F.
2019
Double merging of the phase space for stochastic differential equations with small additions in Poisson approximation conditions. Zbl 1426.60081
Samoilenko, I. V.; Nikitin, A. V.
2019
Asymptotic behavior of extreme values of queue length in $$M/M/m$$ systems. Zbl 1420.90013
Dovhai, B. V.; Matsak, I. K.
2019
Method and algorithm for obtaining elements of the tensor of spatial derivatives of the magnetic induction vector in the problem of searching for magnetic anomalies. Zbl 1480.82014
Primin, M. A.; Nedayvoda, I. V.
2019
Combinatorial configurations in balance layout optimization problems. Zbl 1393.90102
Grebennik, I. V.; Kovalenko, A. A.; Romanova, T. E.; Urniaieva, Inna A.; Shekhovtsov, S. B.
2018
Configuration space of geometric objects. Zbl 1420.55028
Stoyan, Y. G.; Yakovlev, S. V.
2018
Representing weighted pseudoinverse matrices with mixed weights in terms of other pseudoinverses. Zbl 1393.15006
Galba, E. F.; Vareniuk, N. A.
2018
Models of perishable queueing-inventory systems with server vacations. Zbl 1385.93008
Koroliuk, V. S.; Melikov, A. Z.; Ponomarenko, L. A.; Rustamov, A. M.
2018
Properties of combinatorial optimization problems over polyhedral-spherical sets. Zbl 1390.90489
Yakovlev, S. V.; Pichugina, O. S.
2018
Synthesis of zonal controls for a problem of heating with delay under nonseparated boundary conditions. Zbl 1384.93046
Guliyev, S. Z.
2018
Solving the problem of dynamic adaptability of artificial intelligence systems that control dynamic technical objects. Zbl 1490.93087
Khilenko, V. V.; Strzelecki, R.; Kotuliak, I.
2018
Mathematical modeling of the effect of “splashing out” and optimization of management of banking and economic systems under globalization conditions. Zbl 1401.91396
Khilenko, V. V.
2018
A weighted error estimate for a finite-difference scheme of increased approximation order for a two-dimensional Poisson equation with allowance for the Dirichlet boundary condition. Zbl 1448.65194
Mayko, N. V.
2018
Index structures for fast similarity search for real-valued vectors. I. Zbl 1390.68249
Rachkovskij, D. A.
2018
Synthesis of $$\Sigma$$-automata specified in the first order logical languages LP and LF. Zbl 1400.68122
Chebotarev, A. N.
2018
Problems of constructing intelligent systems. Levels of intelligence. Zbl 1401.68260
Meytus, V.
2018
On the possibility of multi-wavelength identification of defects in piles. Zbl 1465.74100
Trofymchuk, O. M.; Kaliukh, Yu. I.; Dunin, V. A.; Berchun, Y. A.
2018
Methods for computing weighted pseudoinverses and weighted normal pseudosolutions with singular weights. Zbl 1401.65029
Galba, E. F.; Sergienko, I. V.
2018
Deflationary regulation of market equilibrium. Zbl 1404.91211
Dunaev, B. B.; Kirilenko, L. V.
2018
On $$(a,d)$$-distance anti-magic and 1-vertex bimagic vertex labelings of certain types of graphs. Zbl 1391.05223
Semeniuta, Marina F.
2018
Index structures for fast similarity search for real vectors. II. Zbl 1392.68176
Rachkovskij, D. A.
2018
Some problems of analysis of hybrid automata. Zbl 1445.68127
Skobelev, V. V.; Skobelev, V. G.
2018
Two approaches to modeling and solving the packing problem for convex polytopes. Zbl 1421.52013
Stoian, Y. E.; Chugay, A. M.; Pankratov, A. V.; Romanova, T. E.
2018
The finite-difference scheme of higher order of accuracy for the two-dimensional Poisson equation in a rectangle with regard for the effect of the Dirichlet boundary condition. Zbl 1404.65217
Mayko, N. V.
2018
Piecewise polynomial algorithms for the analysis of processes in inhomogeneous media. Zbl 06969974
Bilenko, V. I.; Bozhonok, K. V.; Dzyadyk, S. Yu.; Stelya, O. B.
2018
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### Cited by 2,361 Authors

 87 Sergienko, Ivan Vasylyovych 36 Emelichev, Vladimir Alekseevich 31 Chebotarev, Anatoli N. 29 Deineka, V. S. 25 Bulavatskyĭ, Volodymyr M. 24 Dương Việt Thông 22 Melikov, Agassi Z. 22 Stoyan, V. A. 20 Kasyanov, Pavlo O. 19 Dunaev, B. B. 19 Knopov, Pavel S. 19 Kryvyi, Serhiĭ L. 18 Dang Van Hieu 18 Gupal, Anatol M. 18 Skopetsky, Vasyl V. 17 Chikriĭ, Arkadiĭ Alekseevich 17 Kuznetsov, N. Yu. 17 Smol’yakov, Èduard Rimovich 16 Norkin, Vladimir I. 16 Stoyan, Yuriĭ Grygorovych 15 Shehu, Yekini 14 Romanova, Tatiana E. 13 Dong, Qiaoli 13 Galba, E. F. 13 Lisovik, Leonid P. 13 Mayko, Nataliya Valentynivna 13 Ponomarenko, Leonid A. 13 Rusanov, Vyacheslav Anatolievich 12 Anisimov, Anatoly V. 12 Kapustyan, Oleksiy V. 12 Kuzmin, Kirill G. 12 Lyashko, Sergeĭ Ivanovich 12 Romm, Ya. E. 12 Semenova, N. V. 12 Voronin, A. N. 11 Akimenko, Vitalii V. 11 Gorban, Nataliia V. 11 Khimich, A. N. 11 Kovalenko, Igor Mykolaĭovych 11 Stetsyuk, Petro I. 10 Chabanyuk, Yaroslav M. 10 Dshalalow, Jewgeni H. 10 Ermoliev, Yuri M. 10 Iemets, Ol. O. 10 Jolaoso, Lateef Olakunle 10 Khilenko, V. V. 10 Mikhalevich, Mikhail V. 10 Parasyuk, I. N. 10 Rotshtein, A. P. 10 Yasinskij, V. K. 10 Zadiraka, Valeriy K. 9 Alekseychuk, Anton Nikolaevich 9 Bohaienko, Vsevolod O. 9 Chentsov, Aleksandr Georgievich 9 Hnativ, L. O. 9 Ibragimov, Gafurjan I. 9 Iyiola, Olaniyi Samuel 9 Jelfimova, L. D. 9 Kasimbeyli, Refail 9 Kirichenko, N. F. 9 Kirilyuk, Vitaly S. 9 Korolyuk, Volodymyr Semenovych 9 Malyk, Igor V. 9 Provotar, A. I. 9 Skobelev, Vladimir G. 9 Yakovlev, Sergey V. 9 Zgurovsky, Mikhail Z. 8 Aida-Zade, Kamil Rajab 8 Daneev, Aleksey Vasilyevich 8 Doroshenko, A. E. 8 Gladky, A. V. 8 Kibzun, Andreĭ Ivanovich 8 Koval’chuk, L. V. 8 Lebedeva, T. T. 8 Lukashiv, Taras O. 8 Lyashko, N. I. 8 Mashchenko, Sergiĭ Olegovych 8 Mikhailyuk, Victor A. 8 Norkin, B. V. 8 Petrov, Nikolaĭ Nikandrovich 8 Prusov, Vitaliy A. 8 Rystsov, I. K. 8 Yurchenko, I. V. 7 Chugay, Andrey M. 7 Grebennik, Igor V. 7 Hao, Jin-Kao 7 Küçük, Mahide 7 Küçük, Yalçın 7 Lakeyev, Anatoliĭ Valentinovich 7 Li, Xiaohuan 7 Linke, Yuriĭ Èrnievich 7 Nikitin, Anatolii V. 7 Rappoport, I. S. 7 Red’ko, V. N. 7 Sergienko, Tatyana I. 7 Yasynsky, V. K. 7 Yemets, O. A. 7 Yushchenko, E. L. 6 Berezovskij, O. A. 6 Cholamjiak, Prasit ...and 2,261 more Authors
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### Cited in 301 Journals

 1,352 Cybernetics and Systems Analysis 32 Automation and Remote Control 25 Optimization 25 European Journal of Operational Research 22 Journal of Optimization Theory and Applications 20 Journal of Mathematical Sciences (New York) 18 Journal of Computer and Systems Sciences International 17 Journal of Global Optimization 16 Optimization Letters 14 Numerical Algorithms 12 Journal of Computational and Applied Mathematics 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Annals of Operations Research 11 Theoretical Computer Science 11 Computational and Applied Mathematics 11 Journal of Industrial and Management Optimization 10 Discrete Mathematics and Applications 9 Computers & Operations Research 9 Russian Mathematics 8 Journal of Mathematical Analysis and Applications 8 Applied Mathematics and Computation 8 Fractional Calculus & Applied Analysis 8 Discrete and Continuous Dynamical Systems. Series B 8 Prikladnaya Diskretnaya Matematika 7 Ukrainian Mathematical Journal 7 Numerical Functional Analysis and Optimization 7 Applied Mathematical Modelling 7 Mathematical Programming. Series A. Series B 7 Theory of Probability and Mathematical Statistics 7 Doklady Mathematics 7 Mathematical Methods of Operations Research 7 Proceedings of the Steklov Institute of Mathematics 6 Applicable Analysis 6 Discrete Applied Mathematics 6 Mathematical Notes 6 Fuzzy Sets and Systems 6 Mathematical Problems in Engineering 6 Differential Equations 6 Advances in Difference Equations 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Computers & Mathematics with Applications 5 Discrete Mathematics 5 Automatica 5 International Journal of Foundations of Computer Science 5 SIAM Journal on Optimization 5 Buletinul Academiei de Științe a Republicii Moldova. Matematica 5 Lobachevskii Journal of Mathematics 5 Nonlinear Oscillations 5 Advances in Differential Equations and Control Processes 4 Chaos, Solitons and Fractals 4 Prikladnaya Matematika i Mekhanika 4 Demonstratio Mathematica 4 Programming and Computer Software 4 Queueing Systems 4 International Journal of Computer Mathematics 4 Computational Optimization and Applications 4 Top 4 Optimization Methods & Software 4 Matematychni Studiï 4 Thai Journal of Mathematics 4 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 4 Dynamic Games and Applications 4 Ural Mathematical Journal 3 Information Processing Letters 3 Information Sciences 3 Mathematics and Computers in Simulation 3 Operations Research Letters 3 Mathematical and Computer Modelling 3 Journal of Scientific Computing 3 International Journal of Algebra and Computation 3 Computational Mathematics and Mathematical Physics 3 SIAM Journal on Mathematical Analysis 3 Turkish Journal of Mathematics 3 Abstract and Applied Analysis 3 Journal of Inequalities and Applications 3 Journal of Combinatorial Optimization 3 International Journal of Applied Mathematics and Computer Science 3 Combustion Theory and Modelling 3 Optimization and Engineering 3 Computational Methods in Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Chebyshevskiĭ Sbornik 3 Journal of Fixed Point Theory and Applications 3 Set-Valued and Variational Analysis 3 Numerical Algebra, Control and Optimization 3 Journal of Applied Mathematics and Computational Mechanics 2 Advances in Applied Probability 2 International Journal of Control 2 Journal of Computational Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 The Annals of Probability 2 Calcolo 2 International Journal of Game Theory 2 Journal of Combinatorial Theory. Series A 2 Journal of Differential Equations 2 Opsearch 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Semigroup Forum 2 Cybernetics ...and 201 more Journals
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### Cited in 58 Fields

 610 Operations research, mathematical programming (90-XX) 533 Computer science (68-XX) 311 Numerical analysis (65-XX) 310 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 281 Systems theory; control (93-XX) 236 Calculus of variations and optimal control; optimization (49-XX) 219 Probability theory and stochastic processes (60-XX) 136 Partial differential equations (35-XX) 128 Operator theory (47-XX) 122 Statistics (62-XX) 106 Information and communication theory, circuits (94-XX) 77 Ordinary differential equations (34-XX) 74 Combinatorics (05-XX) 74 Biology and other natural sciences (92-XX) 49 Fluid mechanics (76-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 41 Mathematical logic and foundations (03-XX) 41 Real functions (26-XX) 36 Mechanics of deformable solids (74-XX) 29 Convex and discrete geometry (52-XX) 27 Dynamical systems and ergodic theory (37-XX) 24 Geophysics (86-XX) 22 Approximations and expansions (41-XX) 21 Number theory (11-XX) 18 Integral equations (45-XX) 16 History and biography (01-XX) 16 Group theory and generalizations (20-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 General topology (54-XX) 11 Algebraic geometry (14-XX) 11 Measure and integration (28-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Functional analysis (46-XX) 8 General and overarching topics; collections (00-XX) 8 Special functions (33-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Commutative algebra (13-XX) 7 Difference and functional equations (39-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Optics, electromagnetic theory (78-XX) 7 Quantum theory (81-XX) 6 Field theory and polynomials (12-XX) 5 General algebraic systems (08-XX) 5 Integral transforms, operational calculus (44-XX) 5 Mechanics of particles and systems (70-XX) 4 Category theory; homological algebra (18-XX) 4 Geometry (51-XX) 3 Associative rings and algebras (16-XX) 3 Abstract harmonic analysis (43-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)