Class information for:
Level 1: DISCONTINUOUS SELECTIONS//IMPLICIT ELLIPTIC EQUATIONS//DISCONTINUOUS DIFFERENTIAL EQUATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22267 388 13.1 30%


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
22267 1                   DISCONTINUOUS SELECTIONS//IMPLICIT ELLIPTIC EQUATIONS//DISCONTINUOUS DIFFERENTIAL EQUATIONS 388

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 DISCONTINUOUS SELECTIONS authKW 393493 1% 100% 5
2 IMPLICIT ELLIPTIC EQUATIONS authKW 393493 1% 100% 5
3 DISCONTINUOUS DIFFERENTIAL EQUATIONS authKW 365553 3% 39% 12
4 INF CENTER authKW 314794 1% 100% 4
5 SUP CENTER authKW 314794 1% 100% 4
6 ELLIPTIC DIFFERENTIAL INCLUSIONS authKW 251834 1% 80% 4
7 DISCONTINUOUS IMPLICIT DIFFERENTIAL EQUATIONS authKW 236096 1% 100% 3
8 NASH TYPE EQUILIBRIUM authKW 177070 1% 75% 3
9 FIRST ORDER DIFFERENTIAL EQUATION authKW 175274 2% 32% 7
10 ELLIPTIC EQUATIONS IN THE WHOLE SPACE authKW 157397 1% 100% 2

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 15403 85% 0% 329
2 Mathematics, Applied 8711 59% 0% 229
3 Computer Science, Cybernetics 40 1% 0% 4
4 Mechanics 2 2% 0% 7
5 Operations Research & Management Science 1 1% 0% 3
6 Social Sciences, Mathematical Methods 0 0% 0% 1
7 Computer Science, Software Engineering -0 1% 0% 2
8 Multidisciplinary Sciences -0 0% 0% 1
9 Engineering, General -0 1% 0% 2
10 Mathematical & Computational Biology -0 0% 0% 1

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 MATH 1 97449 5% 6% 21
2 ANALISE MATEMAT 85534 1% 22% 5
3 AGDAL SCI RABAT 78699 0% 100% 1
4 DIP PATR ARCH URB 78699 0% 100% 1
5 MECHATRON OPT ENG INFO 78699 0% 100% 1
6 MATH COMP SCI PHYS SCI EARTH SCI 39346 1% 25% 2
7 EUP LINA 16858 1% 7% 3
8 HBEREICH MATH INFORMAT 11098 3% 1% 12
9 ANAL 10923 5% 1% 19
10 ANAL MATEMAT 10852 5% 1% 19

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 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 20484 14% 0% 56
2 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 6580 11% 0% 42
3 DYNAMIC SYSTEMS AND APPLICATIONS 3118 1% 1% 5
4 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2458 6% 0% 23
5 DIFFERENTIAL EQUATIONS 2094 3% 0% 10
6 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 1875 1% 0% 5
7 BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA 1863 2% 0% 7
8 AMERICAN MATHEMATICAL MONTHLY 1852 2% 0% 8
9 PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 1815 2% 0% 6
10 MATHEMATISCHE NACHRICHTEN 1577 2% 0% 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 DISCONTINUOUS SELECTIONS 393493 1% 100% 5 Search DISCONTINUOUS+SELECTIONS Search DISCONTINUOUS+SELECTIONS
2 IMPLICIT ELLIPTIC EQUATIONS 393493 1% 100% 5 Search IMPLICIT+ELLIPTIC+EQUATIONS Search IMPLICIT+ELLIPTIC+EQUATIONS
3 DISCONTINUOUS DIFFERENTIAL EQUATIONS 365553 3% 39% 12 Search DISCONTINUOUS+DIFFERENTIAL+EQUATIONS Search DISCONTINUOUS+DIFFERENTIAL+EQUATIONS
4 INF CENTER 314794 1% 100% 4 Search INF+CENTER Search INF+CENTER
5 SUP CENTER 314794 1% 100% 4 Search SUP+CENTER Search SUP+CENTER
6 ELLIPTIC DIFFERENTIAL INCLUSIONS 251834 1% 80% 4 Search ELLIPTIC+DIFFERENTIAL+INCLUSIONS Search ELLIPTIC+DIFFERENTIAL+INCLUSIONS
7 DISCONTINUOUS IMPLICIT DIFFERENTIAL EQUATIONS 236096 1% 100% 3 Search DISCONTINUOUS+IMPLICIT+DIFFERENTIAL+EQUATIONS Search DISCONTINUOUS+IMPLICIT+DIFFERENTIAL+EQUATIONS
8 NASH TYPE EQUILIBRIUM 177070 1% 75% 3 Search NASH+TYPE+EQUILIBRIUM Search NASH+TYPE+EQUILIBRIUM
9 FIRST ORDER DIFFERENTIAL EQUATION 175274 2% 32% 7 Search FIRST+ORDER+DIFFERENTIAL+EQUATION Search FIRST+ORDER+DIFFERENTIAL+EQUATION
10 ELLIPTIC EQUATIONS IN THE WHOLE SPACE 157397 1% 100% 2 Search ELLIPTIC+EQUATIONS+IN+THE+WHOLE+SPACE Search ELLIPTIC+EQUATIONS+IN+THE+WHOLE+SPACE

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 CUBIOTTI, P , YAO, JC , (2016) ON THE CAUCHY PROBLEM FOR K-TH ORDER DISCONTINUOUS ORDINARY DIFFERENTIAL EQUATIONS.JOURNAL OF NONLINEAR AND CONVEX ANALYSIS. VOL. 17. ISSUE 5. P. 853 -863 11 100% 0
2 HERZOG, G , (2001) QUASIMONOTONICITY.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 47. ISSUE 4. P. 2213 -2224 14 100% 4
3 CID, JA , (2005) ON EXTENDING EXISTENCE THEORY FROM SCALAR ORDINARY DIFFERENTIAL EQUATIONS TO INFINITE QUASIMONOTONE SYSTEMS OF FUNCTIONAL EQUATIONS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 133. ISSUE 9. P. 2661-2670 13 87% 5
4 HERZOG, G , (2010) AN INTERMEDIATE VALUE THEOREM IN ORDERED BANACH SPACES.ANNALES POLONICI MATHEMATICI. VOL. 98. ISSUE 1. P. 63-69 8 100% 0
5 HEIKKILA, S , (2005) EXISTENCE RESULTS FOR OPERATOR AND DIFFERENTIAL EQUATIONS AND INCLUSIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 63. ISSUE 5-7. P. E267-E276 10 91% 0
6 BILES, DC , POUSO, RL , (2009) FIRST-ORDER SINGULAR AND DISCONTINUOUS DIFFERENTIAL EQUATIONS.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 10 77% 3
7 CUBIOTTI, P , YAO, JC , (2015) ON THE TWO-POINT PROBLEM FOR IMPLICIT SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 7 88% 0
8 HERZOG, G , LEMMERT, R , (2008) BOUNDARY VALUE PROBLEMS VIA AN INTERMEDIATE VALUE THEOREM.GLASGOW MATHEMATICAL JOURNAL. VOL. 50. ISSUE . P. 531 -537 8 89% 0
9 MONTEIRO, GA , SLAVIK, A , (2016) EXTREMAL SOLUTIONS OF MEASURE DIFFERENTIAL EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 444. ISSUE 1. P. 568 -597 11 48% 0
10 BILES, DC , SPRAKER, JS , (2015) UNIQUENESS OF SOLUTIONS FOR SECOND ORDER DIFFERENTIAL EQUATIONS.MONATSHEFTE FUR MATHEMATIK. VOL. 178. ISSUE 2. P. 165 -169 5 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 14605 SWEEPING PROCESS//DIFFERENTIAL INCLUSIONS//CONTINUOUS SELECTOR
2 9809 MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//PERIODIC BOUNDARY VALUE PROBLEM
3 30482 SEMIREGULAR SOLUTION//DISCONTINUOUS NONLINEARITIES//POTENTIAL BOUNDS
4 24581 MINIMAL DISPLACEMENT//MORSE SARD THEOREM//C 1 SMOOTH FUNCTION
5 16561 EQUIVARIANT DEGREE//INDEX BUNDLE//BOUNDING FUNCTIONS
6 17204 HENSTOCK KURZWEIL INTEGRAL//MCSHANE INTEGRAL//KURZWEIL HENSTOCK INTEGRAL
7 18397 DIFFERENTIAL ALGEBRAIC EQUATIONS//MATEMAT LICADA TECNOL INFORMAC//CONSISTENT INITIAL VALUES
8 32309 PICARD OPERATOR//STEP METHOD//FIBRE CONTRACTION PRINCIPLE
9 19373 RANDOM FIXED POINT//RANDOM OPERATOR//RANDOM COINCIDENCE POINT
10 26789 BERGE EQUILIBRIUM//MONOTONE COMPARATIVE STATICS//SUPERMODULAR GAMES

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