Class information for:
Level 2: POSITIVE SOLUTION//PERIODIC SOLUTION//FIXED POINT INDEX

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
905 11262 17.5 45%



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
561 1                   POSITIVE SOLUTION//CONE//FIXED POINT INDEX 3302
6703 1                   PERIODIC SOLUTION//DEVIATING ARGUMENT//BOUNDEDNESS OF SOLUTIONS 1454
9809 1                   MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//PERIODIC BOUNDARY VALUE PROBLEM 1118
10976 1                   MASLOV TYPE INDEX//SECOND ORDER HAMILTONIAN SYSTEMS//HAMILTONIAN SYSTEMS 1019
13872 1                   HOMOCLINIC SOLUTIONS//DISCRETE VARIATIONAL THEORY//MODERN BUSINESS MANAGEMENT 808
14605 1                   SWEEPING PROCESS//DIFFERENTIAL INCLUSIONS//CONTINUOUS SELECTOR 760
16561 1                   EQUIVARIANT DEGREE//INDEX BUNDLE//BOUNDING FUNCTIONS 647
19373 1                   RANDOM FIXED POINT//RANDOM OPERATOR//RANDOM COINCIDENCE POINT 508
22267 1                   DISCONTINUOUS SELECTIONS//IMPLICIT ELLIPTIC EQUATIONS//DISCONTINUOUS DIFFERENTIAL EQUATIONS 388
23002 1                   PICONE TYPE INEQUALITY//PICONE IDENTITY//STURMIAN COMPARISON THEOREM 362
26997 1                   ATTRACTOR BIFURCATION//DYNAMIC TRANSITION THEORY//EXTENDED FISHER KOLMOGOROV EQUATION 240
28059 1                   NONZERO SOLUTION//MULTIPARAMETER VARIATIONAL INEQUALITY//FIXED POINT INDEX OF MULTIVALUED MAPPINGS 215
30482 1                   SEMIREGULAR SOLUTION//DISCONTINUOUS NONLINEARITIES//POTENTIAL BOUNDS 168
31189 1                   TWO TIMESCALES PERTURBATION METHOD//GALERKIN AVERAGING METHOD//WEAKLY NONLINEAR BEAM EQUATION 156
34032 1                   BOUNDED NONLINEARITIES//NON MONOTONE ITERATIONS//A COMPACT R DELTA SET 117

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 POSITIVE SOLUTION authKW 1603574 11% 48% 1246
2 PERIODIC SOLUTION authKW 604831 8% 26% 845
3 FIXED POINT INDEX authKW 495880 3% 64% 288
4 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS journal 454058 13% 12% 1421
5 CONE authKW 449875 4% 38% 438
6 LOWER AND UPPER SOLUTIONS authKW 420058 2% 76% 205
7 BOUNDARY VALUE PROBLEM authKW 407739 4% 30% 496
8 MATHEMATICS, APPLIED WoSSC 381717 72% 2% 8129
9 FIXED POINT THEOREM authKW 349156 4% 32% 409
10 MATHEMATICS WoSSC 319589 72% 2% 8104

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, Applied 381717 72% 2% 8129
2 Mathematics 319589 72% 2% 8104
3 Mathematics, Interdisciplinary Applications 254 2% 0% 176
4 Computer Science, Software Engineering 125 1% 0% 144
5 Physics, Mathematical 88 2% 0% 171
6 Multidisciplinary Sciences 63 1% 0% 76
7 Computer Science, Interdisciplinary Applications 46 1% 0% 139
8 Automation & Control Systems 43 1% 0% 92
9 Mechanics 38 2% 0% 198
10 COMPUTER APPLICATIONS & CYBERNETICS 17 0% 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 MATH 142203 42% 1% 4729
2 MODERN BUSINESS MANAGEMENT 78897 0% 94% 31
3 ORIENTAL SCI TECHNOL 53330 0% 62% 32
4 MATH SCI COMP TECHNOL 39658 1% 19% 79
5 DIFFERENTIAL EQUAT PL MATH 31339 0% 64% 18
6 ANAL MATEMAT 30402 2% 7% 172
7 PL DYNAM SYST MATH ANAL PROBABIL 24629 0% 91% 10
8 MATH SCI 23162 8% 1% 860
9 ANALISE MATEMAT 23078 0% 61% 14
10 DIFFERENTIAL EQUAT 22006 0% 16% 51

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 454058 13% 12% 1421
2 BOUNDARY VALUE PROBLEMS 243569 3% 24% 368
3 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 176829 4% 15% 448
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 138966 9% 5% 1041
5 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 104223 2% 21% 180
6 DYNAMIC SYSTEMS AND APPLICATIONS 74845 1% 21% 132
7 JOURNAL OF DIFFERENTIAL EQUATIONS 64917 4% 6% 417
8 TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS 63105 1% 20% 117
9 ADVANCES IN DIFFERENCE EQUATIONS 59509 2% 10% 217
10 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 33326 1% 9% 139

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 POSITIVE SOLUTION 1603574 11% 48% 1246 Search POSITIVE+SOLUTION Search POSITIVE+SOLUTION
2 PERIODIC SOLUTION 604831 8% 26% 845 Search PERIODIC+SOLUTION Search PERIODIC+SOLUTION
3 FIXED POINT INDEX 495880 3% 64% 288 Search FIXED+POINT+INDEX Search FIXED+POINT+INDEX
4 CONE 449875 4% 38% 438 Search CONE Search CONE
5 LOWER AND UPPER SOLUTIONS 420058 2% 76% 205 Search LOWER+AND+UPPER+SOLUTIONS Search LOWER+AND+UPPER+SOLUTIONS
6 BOUNDARY VALUE PROBLEM 407739 4% 30% 496 Search BOUNDARY+VALUE+PROBLEM Search BOUNDARY+VALUE+PROBLEM
7 FIXED POINT THEOREM 349156 4% 32% 409 Search FIXED+POINT+THEOREM Search FIXED+POINT+THEOREM
8 UPPER AND LOWER SOLUTIONS 310738 2% 49% 233 Search UPPER+AND+LOWER+SOLUTIONS Search UPPER+AND+LOWER+SOLUTIONS
9 HOMOCLINIC SOLUTIONS 285828 1% 72% 146 Search HOMOCLINIC+SOLUTIONS Search HOMOCLINIC+SOLUTIONS
10 MONOTONE ITERATIVE TECHNIQUE 262294 1% 71% 136 Search MONOTONE+ITERATIVE+TECHNIQUE Search MONOTONE+ITERATIVE+TECHNIQUE

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 CIANCIARUSO, F , INFANTE, G , PIETRAMALA, P , (2017) SOLUTIONS OF PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS WITH APPLICATIONS.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS. VOL. 33. ISSUE . P. 317 -347 46 84% 2
2 SCHECHTER, M , PIPAN, J , (2014) NON-AUTONOMOUS SECOND ORDER HAMILTONIAN SYSTEMS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 257. ISSUE 2. P. 351 -373 84 89% 4
3 LIU, YJ , (2008) NON-HOMOGENEOUS BOUNDARY-VALUE PROBLEMS OF HIGHER ORDER DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 61 98% 0
4 MAWHIN, J , (2013) RESONANCE PROBLEMS FOR SOME NON-AUTONOMOUS ORDINARY DIFFERENTIAL EQUATIONS.STABILITY AND BIFURCATION THEORY FOR NON-AUTONOMOUS DIFFERENTIAL EQUATIONS, CETRARO, ITALY 2011. VOL. 2065. ISSUE . P. 103 -184 60 76% 6
5 ZHOU, YL , ZHANG, XM , (2015) TRIPLE POSITIVE SOLUTIONS OF FOURTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 48 94% 0
6 CHU, JF , SUN, JT , WONG, PJY , (2013) EXISTENCE FOR SINGULAR PERIODIC PROBLEMS: A SURVEY OF RECENT RESULTS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 49 96% 0
7 JANKOWSKI, T , (2013) NONNEGATIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF SECOND-ORDER DIFFERENTIAL EQUATIONS DEPENDENT ON THE FIRST-ORDER DERIVATIVES.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 87. ISSUE . P. 83-101 43 100% 11
8 LIU, YJ , (2008) SOLUTIONS TO SECOND ORDER NON-HOMOGENEOUS MULTI-POINT BVPS USING A FIXED-POINT THEOREM.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 50 100% 0
9 GOODRICH, CS , (2016) PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS WITH SIGN-CHANGING KERNELS AND APPLICATIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS AND ELLIPTIC PDES.JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS. VOL. 28. ISSUE 4. P. 509 -549 42 95% 0
10 ZHANG, XM , GE, WG , (2012) SYMMETRIC POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 219. ISSUE 8. P. 3553-3564 42 95% 14

Classes with closest relation at Level 2



Rank Class id link
1 176 MATHEMATICS//VARIATIONAL METHODS//MATHEMATICS, APPLIED
2 1287 DIFFERENCE EQUATIONS//MILD SOLUTION//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
3 2295 OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION
4 2302 FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES
5 3377 LINEABILITY//SPACEABILITY//ALGEBRABILITY
6 935 FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE
7 2434 HAMILTON JACOBI EQUATION//MEAN FIELD GAMES//VISCOSITY SOLUTIONS
8 2554 NORMAL COMPLIANCE//HEMIVARIATIONAL INEQUALITY//FRICTIONAL CONTACT
9 1949 STURM LIOUVILLE OPERATOR//STURM LIOUVILLE PROBLEM//INVERSE SPECTRAL PROBLEM
10 4017 APPORTIONMENT METHODS//CONE SPECTRAL RADIUS//DIVISOR METHODS

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