Class information for:
Level 1: EQUIVARIANT DEGREE//INDEX BUNDLE//BOUNDING FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16561 647 19.9 23%


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
16561 1                   EQUIVARIANT DEGREE//INDEX BUNDLE//BOUNDING FUNCTIONS 647

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 EQUIVARIANT DEGREE authKW 664812 3% 78% 18
2 INDEX BUNDLE authKW 335600 1% 89% 8
3 BOUNDING FUNCTIONS authKW 289062 1% 88% 7
4 OTOPY authKW 283164 1% 100% 6
5 SOLUTIONS IN A GIVEN SET authKW 283164 1% 100% 6
6 EQUIVARIANT GRADIENT DEGREE authKW 235970 1% 100% 5
7 GUIDING FUNCTION authKW 212364 1% 50% 9
8 CONDENSING MULTIVALUED OPERATORS authKW 188776 1% 100% 4
9 DEGREE THEORY authKW 176142 4% 13% 28
10 FREDHOLM MAPS authKW 168547 1% 71% 5

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 26106 85% 0% 553
2 Mathematics, Applied 10963 51% 0% 333
3 COMPUTER APPLICATIONS & CYBERNETICS 157 0% 0% 3
4 Multidisciplinary Sciences 21 1% 0% 8
5 Physics, Mathematical 5 2% 0% 10
6 Automation & Control Systems 4 1% 0% 6
7 Mechanics 3 2% 0% 12
8 Computer Science, Software Engineering 0 1% 0% 4
9 Computer Science, Interdisciplinary Applications 0 1% 0% 5
10 Social Sciences, Mathematical Methods 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 IACS FSB 131090 1% 56% 5
2 CALCULUS MATH ANAL 47194 0% 100% 1
3 DEPARTIMENTO MATH 47194 0% 100% 1
4 FB MATH INFORM 47194 0% 100% 1
5 INCOS 47194 0% 100% 1
6 INFORMAYT MATEMAT LICADA 47194 0% 100% 1
7 MATHFRE 2218 47194 0% 100% 1
8 TECH PHYS COMP SCI 47194 0% 100% 1
9 ENGN SCI METHODS 36740 1% 9% 9
10 ANAL CONVEXE 35951 1% 19% 4

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 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 58659 4% 5% 27
2 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 39186 15% 1% 100
3 JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 33315 3% 4% 17
4 BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA 12103 4% 1% 23
5 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 6454 2% 1% 10
6 JOURNAL OF DIFFERENTIAL EQUATIONS 6263 5% 0% 31
7 PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS 3513 1% 1% 6
8 LECTURE NOTES IN MATHEMATICS 3164 3% 0% 22
9 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 2609 2% 0% 12
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2551 5% 0% 34

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 EQUIVARIANT DEGREE 664812 3% 78% 18 Search EQUIVARIANT+DEGREE Search EQUIVARIANT+DEGREE
2 INDEX BUNDLE 335600 1% 89% 8 Search INDEX+BUNDLE Search INDEX+BUNDLE
3 BOUNDING FUNCTIONS 289062 1% 88% 7 Search BOUNDING+FUNCTIONS Search BOUNDING+FUNCTIONS
4 OTOPY 283164 1% 100% 6 Search OTOPY Search OTOPY
5 SOLUTIONS IN A GIVEN SET 283164 1% 100% 6 Search SOLUTIONS+IN+A+GIVEN+SET Search SOLUTIONS+IN+A+GIVEN+SET
6 EQUIVARIANT GRADIENT DEGREE 235970 1% 100% 5 Search EQUIVARIANT+GRADIENT+DEGREE Search EQUIVARIANT+GRADIENT+DEGREE
7 GUIDING FUNCTION 212364 1% 50% 9 Search GUIDING+FUNCTION Search GUIDING+FUNCTION
8 CONDENSING MULTIVALUED OPERATORS 188776 1% 100% 4 Search CONDENSING+MULTIVALUED+OPERATORS Search CONDENSING+MULTIVALUED+OPERATORS
9 DEGREE THEORY 176142 4% 13% 28 Search DEGREE+THEORY Search DEGREE+THEORY
10 FREDHOLM MAPS 168547 1% 71% 5 Search FREDHOLM+MAPS Search FREDHOLM+MAPS

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 MILOJEVIC, PS , (2016) DIMENSION OF THE SET OF POSITIVE SOLUTIONS TO NONLINEAR EQUATIONS AND APPLICATIONS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 16 94% 0
2 STUART, CA , (2015) BIFURCATION WITHOUT FRECHET DIFFERENTIABILITY AT THE TRIVIAL SOLUTION.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 38. ISSUE 16. P. 3444 -3463 14 100% 1
3 BALANOV, Z , KRAWCEWICZ, W , RYBICKI, S , STEINLEIN, H , (2010) A SHORT TREATISE ON THE EQUIVARIANT DEGREE THEORY AND ITS APPLICATIONS.JOURNAL OF FIXED POINT THEORY AND APPLICATIONS. VOL. 8. ISSUE 1. P. 1 -74 25 54% 10
4 RYBICKI, S , STEFANIAK, P , (2015) UNBOUNDED SETS OF SOLUTIONS OF NON-COOPERATIVE ELLIPTIC SYSTEMS ON SPHERES.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 7. P. 2833 -2849 11 100% 0
5 GUDOVICH, A , KAMENSKII, M , QUINCAMPOIX, M , (2010) EXISTENCE OF EQUILIBRIA OF SET-VALUED MAPS ON BOUNDED EPI-LIPSCHITZ DOMAINS IN HILBERT SPACES WITHOUT INVARIANCE CONDITIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 72. ISSUE 1. P. 262-276 12 100% 1
6 VATH, M , (2006) MERGING OF DEGREE AND INDEX THEORY.FIXED POINT THEORY AND APPLICATIONS. VOL. . ISSUE . P. - 14 93% 0
7 BENEVIERI, P , CALAMAI, A , FURI, M , (2015) ON THE DEGREE FOR ORIENTED QUASI-FREDHOLM MAPS: ITS UNIQUENESS AND ITS EFFECTIVE EXTENSION OF THE LERAY-SCHAUDER DEGREE.TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. VOL. 46. ISSUE 1. P. 401 -430 10 100% 0
8 STUART, CA , (2014) BIFURCATION AT ISOLATED SINGULAR POINTS OF THE HADAMARD DERIVATIVE.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 144. ISSUE 5. P. 1027 -1065 10 100% 1
9 BARTLOMIEJCZYK, P , NOWAK-PRZYGODZKI, P , (2015) . THE HOPF THEOREM FOR GRADIENT LOCAL VECTOR FIELDS ON MANIFOLDS.NEW YORK JOURNAL OF MATHEMATICS. VOL. 21. ISSUE . P. 943 -953 9 100% 0
10 VATH, M , (2003) COEPI MAPS AND GENERALIZATIONS OF THE HOPF EXTENSION THEOREM.TOPOLOGY AND ITS APPLICATIONS. VOL. 131. ISSUE 1. P. 79-99 12 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 25628 MULTIPARAMETER EIGENVALUE PROBLEM//TWO PARAMETER//NONLINEAR STURM LIOUVILLE
2 28059 NONZERO SOLUTION//MULTIPARAMETER VARIATIONAL INEQUALITY//FIXED POINT INDEX OF MULTIVALUED MAPPINGS
3 19373 RANDOM FIXED POINT//RANDOM OPERATOR//RANDOM COINCIDENCE POINT
4 17793 NIELSEN NUMBER//LEFSCHETZ NUMBER//REIDEMEISTER NUMBER
5 22267 DISCONTINUOUS SELECTIONS//IMPLICIT ELLIPTIC EQUATIONS//DISCONTINUOUS DIFFERENTIAL EQUATIONS
6 14916 CONLEY INDEX//RIGOROUS NUMERICS//COMPUTER ASSISTED PROOF
7 14605 SWEEPING PROCESS//DIFFERENTIAL INCLUSIONS//CONTINUOUS SELECTOR
8 31189 TWO TIMESCALES PERTURBATION METHOD//GALERKIN AVERAGING METHOD//WEAKLY NONLINEAR BEAM EQUATION
9 22801 PROPER G SPACE//G ANR//ORBIT SPACE
10 6703 PERIODIC SOLUTION//DEVIATING ARGUMENT//BOUNDEDNESS OF SOLUTIONS

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