Class information for:
Level 1: CONICAL APPROXIMATIONS//DUBOVITSKII MILYUTIN THEOREM//DISTRIBUTED CONTROL PROBLEMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28238 211 13.7 18%


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
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
4124 2             P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR 557
28238 1                   CONICAL APPROXIMATIONS//DUBOVITSKII MILYUTIN THEOREM//DISTRIBUTED CONTROL PROBLEMS 211

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 CONICAL APPROXIMATIONS authKW 723588 2% 100% 5
2 DUBOVITSKII MILYUTIN THEOREM authKW 516846 2% 71% 5
3 DISTRIBUTED CONTROL PROBLEMS authKW 463095 2% 80% 4
4 INFINITE NUMBER OF VARIABLES authKW 289435 1% 100% 2
5 LOCALLY ANALYTIC VECTOR VALUED FUNCTION authKW 289435 1% 100% 2
6 N X N PARABOLIC SYSTEM authKW 289435 1% 100% 2
7 OPERATOR OF INFINITE ORDER authKW 289435 1% 100% 2
8 DUBOVITSKII MILYUTIN METHOD authKW 192955 1% 67% 2
9 ADDITIVE VECTOR MEASURE authKW 144718 0% 100% 1
10 COOPERATIVE PARABOLIC SYSTEMS authKW 144718 0% 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 Multidisciplinary Sciences 3824 23% 0% 48
2 Mathematics 2584 48% 0% 101
3 Mathematics, Applied 1191 30% 0% 64
4 Automation & Control Systems 1098 15% 0% 32
5 Operations Research & Management Science 94 5% 0% 11
6 COMPUTER APPLICATIONS & CYBERNETICS 53 0% 0% 1
7 Physics, Mathematical 26 4% 0% 8
8 Mechanics 3 2% 0% 5
9 Materials Science, Composites 1 0% 0% 1
10 Computer Science, Information Systems 0 1% 0% 2

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 MATEM FAK 144718 0% 100% 1
2 MATH I HBEREICH MATH REGULARIZAT GRP 144718 0% 100% 1
3 AUTOMAT BIOMED ENGN 2126 0% 1% 1
4 CONTROL THEORY 1204 0% 1% 1
5 ECUAC DIFERENCIALES ANAL NUMER 662 0% 0% 1
6 KYIV POLYTECH 555 0% 0% 1
7 AUTOMAT 494 4% 0% 8
8 MOSCOW POWER ENGN 268 0% 0% 1
9 MATH 249 14% 0% 29
10 MECH MATH 179 1% 0% 2

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 IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION 72548 9% 3% 18
2 DIFFERENTIAL EQUATIONS 24245 12% 1% 25
3 DOKLADY AKADEMII NAUK SSSR 10752 19% 0% 40
4 DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI 6510 3% 1% 7
5 MATHEMATICS OF THE USSR-SBORNIK 5181 2% 1% 5
6 DOKLADY AKADEMII NAUK BELARUSI 4072 4% 0% 9
7 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 2846 5% 0% 10
8 MATHEMATICAL NOTES 2342 4% 0% 9
9 VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA 1894 1% 1% 2
10 ARCHIVES OF CONTROL SCIENCES 1643 0% 1% 1

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 CONICAL APPROXIMATIONS 723588 2% 100% 5 Search CONICAL+APPROXIMATIONS Search CONICAL+APPROXIMATIONS
2 DUBOVITSKII MILYUTIN THEOREM 516846 2% 71% 5 Search DUBOVITSKII+MILYUTIN+THEOREM Search DUBOVITSKII+MILYUTIN+THEOREM
3 DISTRIBUTED CONTROL PROBLEMS 463095 2% 80% 4 Search DISTRIBUTED+CONTROL+PROBLEMS Search DISTRIBUTED+CONTROL+PROBLEMS
4 INFINITE NUMBER OF VARIABLES 289435 1% 100% 2 Search INFINITE+NUMBER+OF+VARIABLES Search INFINITE+NUMBER+OF+VARIABLES
5 LOCALLY ANALYTIC VECTOR VALUED FUNCTION 289435 1% 100% 2 Search LOCALLY+ANALYTIC+VECTOR+VALUED+FUNCTION Search LOCALLY+ANALYTIC+VECTOR+VALUED+FUNCTION
6 N X N PARABOLIC SYSTEM 289435 1% 100% 2 Search N+X+N+PARABOLIC+SYSTEM Search N+X+N+PARABOLIC+SYSTEM
7 OPERATOR OF INFINITE ORDER 289435 1% 100% 2 Search OPERATOR+OF+INFINITE+ORDER Search OPERATOR+OF+INFINITE+ORDER
8 DUBOVITSKII MILYUTIN METHOD 192955 1% 67% 2 Search DUBOVITSKII+MILYUTIN+METHOD Search DUBOVITSKII+MILYUTIN+METHOD
9 ADDITIVE VECTOR MEASURE 144718 0% 100% 1 Search ADDITIVE+VECTOR+MEASURE Search ADDITIVE+VECTOR+MEASURE
10 COOPERATIVE PARABOLIC SYSTEMS 144718 0% 100% 1 Search COOPERATIVE+PARABOLIC+SYSTEMS Search COOPERATIVE+PARABOLIC+SYSTEMS

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 BAHAA, GM , (2012) OPTIMALITY CONDITIONS FOR INFINITE ORDER DISTRIBUTED PARABOLIC SYSTEMS WITH MULTIPLE TIME DELAYS GIVEN IN INTEGRAL FORM.JOURNAL OF APPLIED MATHEMATICS. VOL. . ISSUE . P. - 15 100% 1
2 BAHAA, GM , THARWAT, MM , (2012) OPTIMAL BOUNDARY CONTROL FOR INFINITE VARIABLES PARABOLIC SYSTEMS WITH TIME LAGS GIVEN IN INTEGRAL FORM.IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE. VOL. 36. ISSUE A3. P. 277-291 13 100% 0
3 BAHAA, GM , KOTARSKI, W , (2016) TIME-OPTIMAL CONTROL OF INFINITE ORDER DISTRIBUTED PARABOLIC SYSTEMS INVOLVING MULTIPLE TIME-VARYING LAGS.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. VOL. 37. ISSUE 9. P. 1066 -1088 10 100% 1
4 KOWALEWSKI, A , (2016) POINTWISE OBSERVATION OF THE STATE GIVEN BY PARABOLIC SYSTEM WITH BOUNDARY CONDITION INVOLVING MULTIPLE TIME DELAYS.ARCHIVES OF CONTROL SCIENCES. VOL. 26. ISSUE 2. P. 189 -197 10 100% 0
5 KOWALEWSKI, A , KRAKOWIAK, A , (2008) TIME-OPTIMAL BOUNDARY CONTROL OF AN INFINITE ORDER PARABOLIC SYSTEM WITH TIME LAGS.INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE. VOL. 18. ISSUE 2. P. 189 -198 8 100% 1
6 BAHAA, GM , (2008) BOUNDARY CONTROL FOR HYPERBOLIC SYSTEMS INVOLVING INFINITE-ORDER OPERATORS WITH CONTROL CONSTRAINTS (RETRACTED ARTICLE. SEE VOL. 28, PG. 143, 2011).IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION. VOL. 25. ISSUE 4. P. 491 -505 8 100% 0
7 BAHAA, GM , (2008) OPTIMAL CONTROL PROBLEMS OF PARABOLIC EQUATIONS WITH AN INFINITE NUMBER OF VARIABLES AND WITH EQUALITY CONSTRAINTS.IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION. VOL. 25. ISSUE 1. P. 37 -48 7 100% 0
8 KOWALEWSKI, A , (2005) OPTIMAL CONTROL OF DISTRIBUTED PARABOLIC SYSTEMS WITH MULTIPLE TIME DELAYS GIVEN IN THE INTEGRAL FORM.IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION. VOL. 22. ISSUE 2. P. 149-170 6 100% 2
9 EL-SAIFY, HA , SERAG, HM , SHEHATA, MA , (2009) TIME-OPTIMAL CONTROL PROBLEM FOR CO-OPERATIVE HYPERBOLIC SYSTEMS INVOLVING THE LAPLACE OPERATOR.JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS. VOL. 15. ISSUE 3. P. 405-423 5 100% 0
10 DUBINSKII, YA , (1991) SOBOLEV SPACES OF INFINITE-ORDER.RUSSIAN MATHEMATICAL SURVEYS. VOL. 46. ISSUE 6. P. 107 -147 9 100% 8

Classes with closest relation at Level 1


Rank Class id link
1 31974 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR
2 28474 HAAR NULL//MONOTONE METRIC SPACE//TYPICAL CONTINUOUS FUNCTION
3 33664 METHOD OF DIFFERENTIAL INEQUALITIES//SINGULARLY PERTURBED PARABOLIC PROBLEMS//BOUNDARY LAYER ASYMPTOTICS
4 36376 RADIATION TRANSFER EQUATION//FRESNEL INTERFACE CONDITIONS//FRESNEL MATCHING CONDITIONS
5 32309 PICARD OPERATOR//STEP METHOD//FIBRE CONTRACTION PRINCIPLE
6 18955 FEYNMAN FORMULA//FEYNMAN PATH INTEGRAL//FEYNMAN MEASURE
7 20675 NEUTRAL TYPE SYSTEMS//MAXIMAL ASYMPTOTICS//NONLINEAR STOCHASTIC DELAY EQUATIONS
8 15384 FLEXIBLE MECHANICAL SYSTEMS//JOURNAL OF GUIDANCE CONTROL AND DYNAMICS//MASS DASHPOT SPRING SYSTEM
9 14970 INTEGRATED SEMIGROUP//C SEMIGROUPS//ABSTRACT CAUCHY PROBLEM
10 25530 CONVOLUTION OF FOURIER EXPANSIONS//CRACKED DOMAIN//ARBITRARY PARTITION OF BOUNDARY

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