Class information for:
Level 1: SWEEPING PROCESS//DIFFERENTIAL INCLUSIONS//CONTINUOUS SELECTOR

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14605 760 18.5 26%


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
460 3       POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS 24500
905 2             POSITIVE SOLUTION//PERIODIC SOLUTION//FIXED POINT INDEX 11262
14605 1                   SWEEPING PROCESS//DIFFERENTIAL INCLUSIONS//CONTINUOUS SELECTOR 760

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 SWEEPING PROCESS authKW 1634873 6% 88% 46
2 DIFFERENTIAL INCLUSIONS authKW 388220 11% 11% 87
3 CONTINUOUS SELECTOR authKW 357928 2% 64% 14
4 PROX REGULAR SET authKW 357928 2% 64% 14
5 EVOLUTION TRIPLE authKW 322835 2% 54% 15
6 SWEEPING PROCESSES authKW 241060 1% 100% 6
7 EVOLUTION INCLUSION authKW 233735 2% 36% 16
8 MIXED SEMICONTINUITY authKW 200884 1% 100% 5
9 NONCONVEX CONSTRAINTS authKW 183658 1% 57% 8
10 RATE INDEPENDENCE authKW 167620 1% 38% 11

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 21982 73% 0% 552
2 Mathematics, Applied 14258 54% 0% 411
3 Automation & Control Systems 577 6% 0% 46
4 Operations Research & Management Science 308 5% 0% 38
5 COMPUTER APPLICATIONS & CYBERNETICS 58 0% 0% 2
6 Computer Science, Cybernetics 17 1% 0% 4
7 Multidisciplinary Sciences 16 1% 0% 8
8 Computer Science, Software Engineering 2 1% 0% 7
9 Computer Science, Theory & Methods 2 1% 0% 9
10 Mathematics, Interdisciplinary Applications 0 1% 0% 5

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 SYST DYNAM CONTROL THEORY 129043 4% 11% 28
2 MATH 1015 80353 0% 100% 2
3 DIPARTIMENTO MATEMAT DECIS 79359 1% 22% 9
4 UFR MATH PLICAT 53568 0% 67% 2
5 DIPARTIMENFO SCI MATEMAT 40177 0% 100% 1
6 FDN 2 40177 0% 100% 1
7 FSEI 40177 0% 100% 1
8 IST MATEMAT PL TECNOL 40177 0% 100% 1
9 MATH 354350 40177 0% 100% 1
10 MATH CRYPTOG MECAN 40177 0% 100% 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 SET-VALUED ANALYSIS 44454 3% 6% 19
2 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 14918 9% 1% 67
3 JOURNAL OF CONVEX ANALYSIS 13595 2% 2% 17
4 JOURNAL OF DIFFERENTIAL EQUATIONS 11256 6% 1% 45
5 JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 11008 2% 2% 15
6 SET-VALUED AND VARIATIONAL ANALYSIS 10068 1% 3% 8
7 FIXED POINT THEORY 8200 1% 2% 9
8 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 8058 2% 2% 13
9 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 6895 3% 1% 23
10 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 5536 1% 2% 9

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 SWEEPING PROCESS 1634873 6% 88% 46 Search SWEEPING+PROCESS Search SWEEPING+PROCESS
2 DIFFERENTIAL INCLUSIONS 388220 11% 11% 87 Search DIFFERENTIAL+INCLUSIONS Search DIFFERENTIAL+INCLUSIONS
3 CONTINUOUS SELECTOR 357928 2% 64% 14 Search CONTINUOUS+SELECTOR Search CONTINUOUS+SELECTOR
4 PROX REGULAR SET 357928 2% 64% 14 Search PROX+REGULAR+SET Search PROX+REGULAR+SET
5 EVOLUTION TRIPLE 322835 2% 54% 15 Search EVOLUTION+TRIPLE Search EVOLUTION+TRIPLE
6 SWEEPING PROCESSES 241060 1% 100% 6 Search SWEEPING+PROCESSES Search SWEEPING+PROCESSES
7 EVOLUTION INCLUSION 233735 2% 36% 16 Search EVOLUTION+INCLUSION Search EVOLUTION+INCLUSION
8 MIXED SEMICONTINUITY 200884 1% 100% 5 Search MIXED+SEMICONTINUITY Search MIXED+SEMICONTINUITY
9 NONCONVEX CONSTRAINTS 183658 1% 57% 8 Search NONCONVEX+CONSTRAINTS Search NONCONVEX+CONSTRAINTS
10 RATE INDEPENDENCE 167620 1% 38% 11 Search RATE+INDEPENDENCE Search RATE+INDEPENDENCE

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 THIBAULT, L , (2016) MOREAU SWEEPING PROCESS WITH BOUNDED TRUNCATED RETRACTION.JOURNAL OF CONVEX ANALYSIS. VOL. 23. ISSUE 4. P. 1051 -1098 30 81% 0
2 KOPFOVA, J , RECUPERO, V , (2016) BV-NORM CONTINUITY OF SWEEPING PROCESSES DRIVEN BY A SET WITH CONSTANT SHAPE.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 261. ISSUE 10. P. 5875 -5899 19 100% 0
3 TIMOSHIN, SA , (2014) VARIATIONAL STABILITY OF SOME OPTIMAL CONTROL PROBLEMS DESCRIBING HYSTERESIS EFFECTS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 52. ISSUE 4. P. 2348 -2370 13 100% 0
4 DE BLASI, FS , PIANIGIANI, G , (2013) WEAK AND GENERIC BANG-BANG PROPERTIES FOR CONTINUOUS EVOLUTION INCLUSIONS AND BAIRE'S METHOD.NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. VOL. 20. ISSUE 2. P. 213-248 15 88% 0
5 HU, SC , PAPAGEORGIOU, NS , (1998) TIME-DEPENDENT SUBDIFFERENTIAL EVOLUTION INCLUSIONS AND OPTIMAL CONTROL.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 133. ISSUE 632. P. VIII -+ 24 80% 0
6 TIMOSHIN, SA , TOLSTONOGOV, AA , (2012) BOGOLYUBOV-TYPE THEOREM WITH CONSTRAINTS INDUCED BY A CONTROL SYSTEM WITH HYSTERESIS EFFECT.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 75. ISSUE 15. P. 5884-5893 12 100% 5
7 TOLSTONOGOV, AA , (2008) EXISTENCE AND RELAXATION THEOREMS FOR EXTREME CONTINUOUS SELECTORS OF MULTIFUNCTIONS WITH DECOMPOSABLE VALUES.TOPOLOGY AND ITS APPLICATIONS. VOL. 155. ISSUE 8. P. 898-905 14 93% 3
8 RECUPERO, V , (2015) HYSTERESIS OPERATORS IN METRIC SPACES.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S. VOL. 8. ISSUE 4. P. 773 -792 11 100% 0
9 MAZADE, M , THIBAULT, L , (2013) REGULARIZATION OF DIFFERENTIAL VARIATIONAL INEQUALITIES WITH LOCALLY PROX-REGULAR SETS.MATHEMATICAL PROGRAMMING. VOL. 139. ISSUE 1-2. P. 243 -269 13 81% 5
10 VENEL, J , (2011) A NUMERICAL SCHEME FOR A CLASS OF SWEEPING PROCESSES.NUMERISCHE MATHEMATIK. VOL. 118. ISSUE 2. P. 367 -400 12 92% 8

Classes with closest relation at Level 1


Rank Class id link
1 22267 DISCONTINUOUS SELECTIONS//IMPLICIT ELLIPTIC EQUATIONS//DISCONTINUOUS DIFFERENTIAL EQUATIONS
2 19397 NORMAL NECESSARY CONDITIONS//DISCRETE APPROXIMATIONS//MIXED CONSTRAINTS
3 23800 ABSOLUTE NEIGHBORHOOD MULTI RETRACTS//NON CLASSICAL HEAT EQUATION//MOVABLE SPACE
4 3936 MILD SOLUTION//NONLOCAL CONDITION//APPROXIMATE CONTROLLABILITY
5 30482 SEMIREGULAR SOLUTION//DISCONTINUOUS NONLINEARITIES//POTENTIAL BOUNDS
6 26505 SET OF TRAJECTORIES//ATTRACTION SET//INTEGRAL CONSTRAINT
7 16561 EQUIVARIANT DEGREE//INDEX BUNDLE//BOUNDING FUNCTIONS
8 19373 RANDOM FIXED POINT//RANDOM OPERATOR//RANDOM COINCIDENCE POINT
9 28764 MULTIVALUED STOCHASTIC DIFFERENTIAL EQUATION//REFLECTED STOCHASTIC DIFFERENTIAL EQUATION//MEAN DERIVATIVES
10 31189 TWO TIMESCALES PERTURBATION METHOD//GALERKIN AVERAGING METHOD//WEAKLY NONLINEAR BEAM EQUATION

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