Class information for:
Level 1: EXACT MULTIPLICITY//TIME MAP//S SHAPED BIFURCATION CURVE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
24203 320 15.5 49%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
176 2             MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED 22137
24203 1                   EXACT MULTIPLICITY//TIME MAP//S SHAPED BIFURCATION CURVE 320

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 EXACT MULTIPLICITY authKW 2375664 12% 66% 38
2 TIME MAP authKW 1407842 9% 49% 30
3 S SHAPED BIFURCATION CURVE authKW 1341876 5% 94% 15
4 SEMIPOSITONE PROBLEMS authKW 734014 3% 77% 10
5 POSITONE PROBLEM authKW 490742 2% 86% 6
6 FALLING ZEROS authKW 381690 1% 100% 4
7 EXACT MULTIPLICITY OF SOLUTIONS authKW 305350 1% 80% 4
8 INFINITE SEMIPOSITONE authKW 305350 1% 80% 4
9 EXACT STRUCTURE OF ALL SOLUTIONS authKW 286267 1% 100% 3
10 NONPOSITONE PROBLEM authKW 254457 1% 67% 4

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 12671 85% 0% 271
2 Mathematics, Applied 11235 73% 0% 235
3 Mathematics, Interdisciplinary Applications 7 2% 0% 5
4 Physics, Mathematical 1 1% 0% 4
5 Mathematical & Computational Biology 1 1% 0% 2
6 Biology 0 1% 0% 3
7 Oceanography 0 1% 0% 2
8 Statistics & Probability 0 1% 0% 2
9 Multidisciplinary Sciences 0 0% 0% 1
10 Physics, Multidisciplinary -0 2% 0% 6

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 DPTO ECUAC DIFERENCIALES ANAL NURMER 95422 0% 100% 1
2 DPTO ECUAC DIFERENCIALES ANANL 95422 0% 100% 1
3 FUNDAMENTAL GEN EDUC 95420 1% 50% 2
4 YY TSENG FUNCT ANAL 64466 2% 14% 5
5 DATABASE MKT 47710 0% 50% 1
6 LAGUARDIA C 31806 0% 33% 1
7 PROMOT Q21 31806 0% 33% 1
8 URA CNRS 742 15902 0% 17% 1
9 KMA FAV 13630 0% 14% 1
10 YUAN YUNG TSENG FUNCT ANAL 10601 0% 11% 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 AND INTEGRAL EQUATIONS 17752 4% 2% 12
2 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 16263 7% 1% 21
3 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 13701 7% 1% 21
4 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 13304 13% 0% 41
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 11812 16% 0% 51
6 JOURNAL OF DIFFERENTIAL EQUATIONS 7617 8% 0% 24
7 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 3168 3% 0% 10
8 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 2830 2% 1% 5
9 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS 2016 1% 1% 2
10 COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 1674 2% 0% 5

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 EXACT MULTIPLICITY 2375664 12% 66% 38 Search EXACT+MULTIPLICITY Search EXACT+MULTIPLICITY
2 TIME MAP 1407842 9% 49% 30 Search TIME+MAP Search TIME+MAP
3 S SHAPED BIFURCATION CURVE 1341876 5% 94% 15 Search S+SHAPED+BIFURCATION+CURVE Search S+SHAPED+BIFURCATION+CURVE
4 SEMIPOSITONE PROBLEMS 734014 3% 77% 10 Search SEMIPOSITONE+PROBLEMS Search SEMIPOSITONE+PROBLEMS
5 POSITONE PROBLEM 490742 2% 86% 6 Search POSITONE+PROBLEM Search POSITONE+PROBLEM
6 FALLING ZEROS 381690 1% 100% 4 Search FALLING+ZEROS Search FALLING+ZEROS
7 EXACT MULTIPLICITY OF SOLUTIONS 305350 1% 80% 4 Search EXACT+MULTIPLICITY+OF+SOLUTIONS Search EXACT+MULTIPLICITY+OF+SOLUTIONS
8 INFINITE SEMIPOSITONE 305350 1% 80% 4 Search INFINITE+SEMIPOSITONE Search INFINITE+SEMIPOSITONE
9 EXACT STRUCTURE OF ALL SOLUTIONS 286267 1% 100% 3 Search EXACT+STRUCTURE+OF+ALL+SOLUTIONS Search EXACT+STRUCTURE+OF+ALL+SOLUTIONS
10 NONPOSITONE PROBLEM 254457 1% 67% 4 Search NONPOSITONE+PROBLEM Search NONPOSITONE+PROBLEM

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 HUNG, KC , (2013) EXACT MULTIPLICITY OF POSITIVE SOLUTIONS OF A SEMIPOSITONE PROBLEM WITH CONCAVE-CONVEX NONLINEARITY.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 255. ISSUE 11. P. 3811-3831 24 86% 3
2 BUTLER, D , KO, E , LEE, EK , SHIVAJI, R , (2014) POSITIVE RADIAL SOLUTIONS FOR ELLIPTIC EQUATIONS ON EXTERIOR DOMAINS WITH NONLINEAR BOUNDARY CONDITIONS.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 13. ISSUE 6. P. 2713 -2731 13 93% 1
3 HUNG, KC , WANG, SH , (2013) GLOBAL BIFURCATION AND EXACT MULTIPLICITY OF POSITIVE SOLUTIONS FOR A POSITONE PROBLEM WITH CUBIC NONLINEARITY AND THEIR APPLICATIONS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 365. ISSUE 4. P. 1933-1956 14 82% 1
4 HUANG, SY , WANG, SH , (2016) PROOF OF A CONJECTURE FOR THE ONE-DIMENSIONAL PERTURBED GELFAND PROBLEM FROM COMBUSTION THEORY.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 222. ISSUE 2. P. 769 -825 13 81% 0
5 SHI, JP , SHIVAJI, R , (2001) EXACT MULTIPLICITY OF SOLUTIONS FOR CLASSES OF SEMIPOSITONE PROBLEMS WITH CONCAVE-CONVEX NONLINEARITY.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 7. ISSUE 3. P. 559-571 15 100% 10
6 XU, BL , WANG, ZL , (2008) ON S-SHAPED BIFURCATION CURVES FOR A CLASS OF PERTURBED SEMILINEAR EQUATIONS.CHINESE ANNALS OF MATHEMATICS SERIES B. VOL. 29. ISSUE 6. P. 641 -662 15 79% 0
7 LIANG, YH , WANG, SH , (2016) CLASSIFICATION AND EVOLUTION OF BIFURCATION CURVES FOR THE ONE-DIMENSIONAL PERTURBED GELFAND EQUATION WITH MIXED BOUNDARY CONDITIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 12. P. 8358 -8387 9 100% 1
8 ABEBE, A , CHHETRI, M , SANKAR, L , SHIVAJI, R , (2014) POSITIVE SOLUTIONS FOR A CLASS OF SUPERLINEAR SEMIPOSITONE SYSTEMS ON EXTERIOR DOMAINS.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 11 92% 0
9 DHANYA, R , MORRIS, Q , SHIVAJI, R , (2016) EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR SUPERLINEAR, SEMIPOSITONE PROBLEMS ON THE EXTERIOR OF A BALL.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 434. ISSUE 2. P. 1533 -1548 11 79% 1
10 KO, E , RAMASWAMY, M , SHIVAJI, R , (2015) UNIQUENESS OF POSITIVE RADIAL SOLUTIONS FOR A CLASS OF SEMIPOSITONE PROBLEMS ON THE EXTERIOR OF A BALL.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 423. ISSUE 1. P. 399 -409 11 85% 0

Classes with closest relation at Level 1


Rank Class id link
1 11417 LARGE SOLUTIONS//BOUNDARY BLOW UP//KARAMATA REGULAR VARIATION THEORY
2 32243 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA
3 1427 P LAPLACIAN//CRITICAL GROUPS//FUCIK SPECTRUM
4 25628 MULTIPARAMETER EIGENVALUE PROBLEM//TWO PARAMETER//NONLINEAR STURM LIOUVILLE
5 2885 CRITICAL SOBOLEV EXPONENT//CAFFARELLI KOHN NIRENBERG INEQUALITY//HARDY INEQUALITY
6 561 POSITIVE SOLUTION//CONE//FIXED POINT INDEX
7 8797 CROSS DIFFUSION//COEXISTENCE STATES//CROSS DIFFUSION SYSTEM
8 25289 GEOGRAPHICAL STRUCTURE//HARDY WEINBERG EQUATION//MULTILOCUS POLYMORPHISM
9 30482 SEMIREGULAR SOLUTION//DISCONTINUOUS NONLINEARITIES//POTENTIAL BOUNDS
10 20532 ALLEE EFFECT//GRP ECOL MATEMAT//COMPONENT ALLEE EFFECT

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