Class information for:
Level 1: BEST PARAMETERS//BARBASHIN TYPE EQUATIONS//FUNCTIONALS WITH DEVIATING ARGUMENTS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
31810 147 13.9 20%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
2845 2             VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS 2956
31810 1                   BEST PARAMETERS//BARBASHIN TYPE EQUATIONS//FUNCTIONALS WITH DEVIATING ARGUMENTS 147

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 BEST PARAMETERS authKW 467379 2% 75% 3
2 BARBASHIN TYPE EQUATIONS authKW 415449 1% 100% 2
3 FUNCTIONALS WITH DEVIATING ARGUMENTS authKW 415449 1% 100% 2
4 INNER SUPERPOSITION OPERATORS authKW 415449 1% 100% 2
5 NECESSARY WEIERSTRASS CONDITION authKW 415449 1% 100% 2
6 PARAMETRIC SYSTEM OF NONLINEAR EQUATIONS authKW 415449 1% 100% 2
7 STABILITY AND ASYMPTOTICAL STABILITY authKW 415449 1% 100% 2
8 11 BUS ILL CONDITIONED TEST SYSTEM authKW 207725 1% 100% 1
9 118 BUS ILL CONDITIONED TEST SYSTEM authKW 207725 1% 100% 1
10 2383 BUS ILL CONDITIONED TEST SYSTEM authKW 207725 1% 100% 1

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 Mathematics 1888 49% 0% 72
2 Mathematics, Applied 1337 38% 0% 56
3 Automation & Control Systems 250 9% 0% 13
4 Multidisciplinary Sciences 225 7% 0% 10
5 Physics, Mathematical 89 7% 0% 11
6 Statistics & Probability 60 5% 0% 8
7 Mathematics, Interdisciplinary Applications 14 3% 0% 4
8 Mechanics 7 3% 0% 5
9 Engineering, General 6 2% 0% 3
10 Instruments & Instrumentation 5 3% 0% 4

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 DIPARTIMENTO MATEMAT R MAGARI 207725 1% 100% 1
2 HIGHER MAT 207725 1% 100% 1
3 PHYS MATIEE CONDENSEE 207725 1% 100% 1
4 RADIO ELECT INFORMAT TECNOL 207725 1% 100% 1
5 UFR MATH COMP 207725 1% 100% 1
6 MECHMATH 69240 1% 33% 1
7 LAMUSE EA 3989 63912 1% 15% 2
8 FUJITSU PARALLEL COMP 29673 1% 14% 1
9 RADIOELECT INFORMAT TECHNOL 28648 1% 7% 2
10 ENSAE 9030 1% 4% 1

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 DIFFERENTIAL EQUATIONS 18042 12% 0% 18
2 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 13683 7% 1% 11
3 IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK 4614 1% 2% 1
4 ANNALES DE L INSTITUT HENRI POINCARE SECTION B-CALCUL DES PROBABILITES ET STATISTIQUE 2966 1% 1% 1
5 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 2373 2% 0% 3
6 JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 2277 2% 0% 3
7 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2076 7% 0% 11
8 MATHEMATICAL NOTES 2035 5% 0% 7
9 THEORY OF PROBABILITY AND ITS APPLICATIONS 1694 3% 0% 4
10 APPLICABLE ANALYSIS 1272 2% 0% 3

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 BEST PARAMETERS 467379 2% 75% 3 Search BEST+PARAMETERS Search BEST+PARAMETERS
2 BARBASHIN TYPE EQUATIONS 415449 1% 100% 2 Search BARBASHIN+TYPE+EQUATIONS Search BARBASHIN+TYPE+EQUATIONS
3 FUNCTIONALS WITH DEVIATING ARGUMENTS 415449 1% 100% 2 Search FUNCTIONALS+WITH+DEVIATING+ARGUMENTS Search FUNCTIONALS+WITH+DEVIATING+ARGUMENTS
4 INNER SUPERPOSITION OPERATORS 415449 1% 100% 2 Search INNER+SUPERPOSITION+OPERATORS Search INNER+SUPERPOSITION+OPERATORS
5 NECESSARY WEIERSTRASS CONDITION 415449 1% 100% 2 Search NECESSARY+WEIERSTRASS+CONDITION Search NECESSARY+WEIERSTRASS+CONDITION
6 PARAMETRIC SYSTEM OF NONLINEAR EQUATIONS 415449 1% 100% 2 Search PARAMETRIC+SYSTEM+OF+NONLINEAR+EQUATIONS Search PARAMETRIC+SYSTEM+OF+NONLINEAR+EQUATIONS
7 STABILITY AND ASYMPTOTICAL STABILITY 415449 1% 100% 2 Search STABILITY+AND+ASYMPTOTICAL+STABILITY Search STABILITY+AND+ASYMPTOTICAL+STABILITY
8 11 BUS ILL CONDITIONED TEST SYSTEM 207725 1% 100% 1 Search 11+BUS+ILL+CONDITIONED+TEST+SYSTEM Search 11+BUS+ILL+CONDITIONED+TEST+SYSTEM
9 118 BUS ILL CONDITIONED TEST SYSTEM 207725 1% 100% 1 Search 118+BUS+ILL+CONDITIONED+TEST+SYSTEM Search 118+BUS+ILL+CONDITIONED+TEST+SYSTEM
10 2383 BUS ILL CONDITIONED TEST SYSTEM 207725 1% 100% 1 Search 2383+BUS+ILL+CONDITIONED+TEST+SYSTEM Search 2383+BUS+ILL+CONDITIONED+TEST+SYSTEM

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref.
in cl.
Shr. of ref. in
cl.
Citations
1 SAMASSI, L , TAHRAOUI, R , (2008) HOW TO STATE NECESSARY OPTIMALITY CONDITIONS FOR CONTROL PROBLEMS WITH DEVIATING ARGUMENTS?.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. VOL. 14. ISSUE 2. P. 381 -409 9 100% 2
2 CHERNOV, AV , (2016) ON A MAJORANT-MINORANT CRITERION FOR THE TOTAL PRESERVATION OF GLOBAL SOLVABILITY OF DISTRIBUTED CONTROLLED SYSTEMS.DIFFERENTIAL EQUATIONS. VOL. 52. ISSUE 1. P. 111 -121 7 100% 0
3 KRASNIKOV, SD , KUZNETSOV, EB , (2016) NUMERICAL CONTINUATION OF SOLUTION AT A SINGULAR POINT OF HIGH CODIMENSION FOR SYSTEMS OF NONLINEAR ALGEBRAIC OR TRANSCENDENTAL EQUATIONS.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 56. ISSUE 9. P. 1551 -1564 8 80% 0
4 CHERNOV, AV , (2015) ON THE CONVERGENCE OF THE CONDITIONAL GRADIENT METHOD AS APPLIED TO THE OPTIMIZATION OF AN ELLIPTIC EQUATION.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 55. ISSUE 2. P. 212 -226 6 75% 0
5 KRASNIKOV, SD , KUZNETSOV, EB , (2015) NUMERICAL CONTINUATION OF SOLUTION AT SINGULAR POINTS OF CODIMENSION ONE.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 55. ISSUE 11. P. 1802 -1822 6 75% 0
6 CHERNOV, AV , (2013) SMOOTH FINITE-DIMENSIONAL APPROXIMATIONS OF DISTRIBUTED OPTIMIZATION PROBLEMS VIA CONTROL DISCRETIZATION.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 53. ISSUE 12. P. 1839-1852 5 83% 0
7 CHERNOV, AV , (2012) SUFFICIENT CONDITIONS FOR THE CONTROLLABILITY OF NONLINEAR DISTRIBUTED SYSTEMS.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 52. ISSUE 8. P. 1115 -1127 5 83% 0
8 SAMASSI, L , TAHRAOUI, R , (2004) HOW TO STATE NECESSARY OPTIMALITY CONDITIONS FOR CONTROL PROBLEMS WITH DEVIATING ARGUMENTS?.COMPTES RENDUS MATHEMATIQUE. VOL. 338. ISSUE 8. P. 611 -616 5 100% 3
9 KUZNETSOV, EB , (2012) CONTINUATION OF SOLUTIONS IN MULTIPARAMETER APPROXIMATION OF CURVES AND SURFACES.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 52. ISSUE 8. P. 1149-1162 4 100% 2
10 LITSYN, E , (2007) REPRESENTATION FORMULA FOR SOLUTION OF A FUNCTIONAL EQUATION WITH VOLTERRA OPERATOR.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 336. ISSUE 2. P. 1073-1089 4 100% 1

Classes with closest relation at Level 1



Rank Class id link
1 28243 CAPITAL GAINS TAXATION//LOCK IN EFFECT//CAPITAL GAIN TAXATION
2 36216 MELENTIEV ENERGY SYST//MELENTEV POWER ENGN SYST//POWER ENGN SYST
3 35251 BOUNDARY CONTROL THEORY//COMPUTATER//HIGHER ORDER PARTIAL DIFFERENTIAL EQUATION
4 21985 INTEGRAL INEQUALITY//TWO INDEPENDENT VARIABLES//RETARDED INTEGRAL INEQUALITY
5 25862 AVERAGING PRINCIPLE//GLUING CONDITIONS//ERGODIC AND STRONGLY MIXING PROCESSES
6 31142 QUASI GASDYNAMIC SYSTEM OF EQUATIONS//QUASI GASDYNAMIC EQUATIONS//STABILITY OF SMALL PERTURBATIONS
7 24073 QUASINORMAL FORM//DIFFUSION CHAOS//DYNAMICS OF THE LOGISTIC DELAY EQUATION
8 21865 NONLINEAR ESTIMATES OF THE PERRON TYPE//INTERPOLATING OPERATORS//MONOTONE ITERATIONS
9 26009 REGULAR SYNTHESIS//SINGULAR CHARACTERISTICS//FOLD AND SIMPLE CUSP SINGULARITIES
10 26640 ACCELERATION WAVES//SHOCK AND ACCELERATION WAVES//KUZNETSOVS EQUATION

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