Class information for:
Level 1: MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//PERIODIC BOUNDARY VALUE PROBLEM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
9809 1118 17.7 51%



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
9809 1                   MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//PERIODIC BOUNDARY VALUE PROBLEM 1118

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 MONOTONE ITERATIVE TECHNIQUE authKW 1516876 9% 54% 103
2 IMPULSIVE DIFFERENTIAL EQUATIONS authKW 1174271 11% 34% 128
3 PERIODIC BOUNDARY VALUE PROBLEM authKW 944719 7% 43% 80
4 IMPULSIVE INTEGRO DIFFERENTIAL EQUATION authKW 809191 4% 74% 40
5 ANTI PERIODIC SOLUTION authKW 542942 4% 46% 43
6 UPPER AND LOWER SOLUTIONS authKW 457212 8% 19% 89
7 QUASILINEARIZATION authKW 404790 4% 35% 42
8 IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS authKW 384028 3% 47% 30
9 LOWER AND UPPER SOLUTIONS authKW 272420 5% 19% 52
10 CAUSAL OPERATORS authKW 267638 1% 70% 14

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 50495 83% 0% 929
2 Mathematics 23354 62% 0% 693
3 Mathematics, Interdisciplinary Applications 82 2% 0% 27
4 Computer Science, Software Engineering 45 2% 0% 22
5 Computer Science, Interdisciplinary Applications 26 2% 0% 22
6 Physics, Mathematical 19 2% 0% 21
7 Operations Research & Management Science 13 1% 0% 14
8 Automation & Control Systems 6 1% 0% 10
9 Mechanics 2 2% 0% 18
10 Engineering, General 1 1% 0% 9

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 DIFFERENTIAL EQUAT 165673 4% 14% 44
2 DIFFERENTIAL EQUAT PL MATH 62413 1% 29% 8
3 CYBERNET ANAS 54622 0% 100% 2
4 ANAL MATEMAT 45470 6% 3% 66
5 GREAT WALL 34131 0% 25% 5
6 ABORAT INNOVAT AVIAT ECON DEV HENAN PROV 27311 0% 100% 1
7 DIFFERENTAIL EQUAT 27311 0% 100% 1
8 DIFFERENTIAL EQUIAT 27311 0% 100% 1
9 E POLITECN SUPER LUGO 27311 0% 100% 1
10 FINANCIAL MANAGMENET ENGN 27311 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 BOUNDARY VALUE PROBLEMS 96694 7% 5% 73
2 DYNAMIC SYSTEMS AND APPLICATIONS 56204 3% 6% 36
3 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 43761 12% 1% 139
4 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS 18981 2% 3% 25
5 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 17973 4% 1% 45
6 ADVANCES IN DIFFERENCE EQUATIONS 13898 3% 2% 33
7 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 12966 2% 2% 20
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 12142 9% 0% 97
9 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS 11688 1% 5% 9
10 APPLIED MATHEMATICS AND COMPUTATION 11191 8% 0% 85

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 MONOTONE ITERATIVE TECHNIQUE 1516876 9% 54% 103 Search MONOTONE+ITERATIVE+TECHNIQUE Search MONOTONE+ITERATIVE+TECHNIQUE
2 IMPULSIVE DIFFERENTIAL EQUATIONS 1174271 11% 34% 128 Search IMPULSIVE+DIFFERENTIAL+EQUATIONS Search IMPULSIVE+DIFFERENTIAL+EQUATIONS
3 PERIODIC BOUNDARY VALUE PROBLEM 944719 7% 43% 80 Search PERIODIC+BOUNDARY+VALUE+PROBLEM Search PERIODIC+BOUNDARY+VALUE+PROBLEM
4 IMPULSIVE INTEGRO DIFFERENTIAL EQUATION 809191 4% 74% 40 Search IMPULSIVE+INTEGRO+DIFFERENTIAL+EQUATION Search IMPULSIVE+INTEGRO+DIFFERENTIAL+EQUATION
5 ANTI PERIODIC SOLUTION 542942 4% 46% 43 Search ANTI+PERIODIC+SOLUTION Search ANTI+PERIODIC+SOLUTION
6 UPPER AND LOWER SOLUTIONS 457212 8% 19% 89 Search UPPER+AND+LOWER+SOLUTIONS Search UPPER+AND+LOWER+SOLUTIONS
7 QUASILINEARIZATION 404790 4% 35% 42 Search QUASILINEARIZATION Search QUASILINEARIZATION
8 IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS 384028 3% 47% 30 Search IMPULSIVE+FUNCTIONAL+DIFFERENTIAL+EQUATIONS Search IMPULSIVE+FUNCTIONAL+DIFFERENTIAL+EQUATIONS
9 LOWER AND UPPER SOLUTIONS 272420 5% 19% 52 Search LOWER+AND+UPPER+SOLUTIONS Search LOWER+AND+UPPER+SOLUTIONS
10 CAUSAL OPERATORS 267638 1% 70% 14 Search CAUSAL+OPERATORS Search CAUSAL+OPERATORS

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 THAIPRAYOON, C , SAMANA, D , TARIBOON, J , (2012) PERIODIC BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS WITH INTEGRAL JUMP CONDITIONS.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 35 95% 2
2 TIAN, Y , GE, WG , (2012) MULTIPLE SOLUTIONS OF IMPULSIVE STURM-LIOUVILLE BOUNDARY VALUE PROBLEM VIA LOWER AND UPPER SOLUTIONS AND VARIATIONAL METHODS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 387. ISSUE 2. P. 475 -489 32 78% 11
3 WANG, DB , (2012) PERIODIC BOUNDARY VALUE PROBLEMS FOR NONLINEAR FIRST-ORDER IMPULSIVE DYNAMIC EQUATIONS ON TIME SCALES.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 27 87% 2
4 YANG, XX , SHEN, JH , (2007) PERIODIC BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 209. ISSUE 2. P. 176-186 29 88% 19
5 CHEN, YQ , NIETO, JJ , O'REGAN, D , (2011) ANTI-PERIODIC SOLUTIONS FOR EVOLUTION EQUATIONS ASSOCIATED WITH MAXIMAL MONOTONE MAPPINGS.APPLIED MATHEMATICS LETTERS. VOL. 24. ISSUE 3. P. 302-307 21 100% 13
6 LUO, ZG , JING, ZJ , (2008) PERIODIC BOUNDARY VALUE PROBLEM FOR FIRST-ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 55. ISSUE 9. P. 2094-2107 26 84% 17
7 WANG, XH , ZHANG, JH , (2010) IMPULSIVE ANTI-PERIODIC BOUNDARY VALUE PROBLEM OF FIRST-ORDER INTEGRO-DIFFERENTIAL EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 234. ISSUE 12. P. 3261-3267 21 100% 5
8 CHEN, YQ , O'REGAN, D , AGARWAL, RP , (2010) ANTI-PERIODIC SOLUTIONS FOR EVOLUTION EQUATIONS ASSOCIATED WITH MONOTONE TYPE MAPPINGS.APPLIED MATHEMATICS LETTERS. VOL. 23. ISSUE 11. P. 1320-1325 21 100% 5
9 CHEN, YQ , O'REGAN, D , WANG, FL , ZHOU, SL , (2009) ANTIPERIODIC BOUNDARY VALUE PROBLEMS FOR FINITE DIMENSIONAL DIFFERENTIAL SYSTEMS.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 28 78% 1
10 MIAO, CM , GE, WG , (2015) EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 38. ISSUE 6. P. 1146 -1157 20 91% 2

Classes with closest relation at Level 1



Rank Class id link
1 12946 RAZUMIKHIN TECHNIQUE//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS//IMPULSIVE DELAY DIFFERENTIAL EQUATION
2 561 POSITIVE SOLUTION//CONE//FIXED POINT INDEX
3 22267 DISCONTINUOUS SELECTIONS//IMPLICIT ELLIPTIC EQUATIONS//DISCONTINUOUS DIFFERENTIAL EQUATIONS
4 6703 PERIODIC SOLUTION//DEVIATING ARGUMENT//BOUNDEDNESS OF SOLUTIONS
5 3936 MILD SOLUTION//NONLOCAL CONDITION//APPROXIMATE CONTROLLABILITY
6 32309 PICARD OPERATOR//STEP METHOD//FIBRE CONTRACTION PRINCIPLE
7 4048 FRACTIONAL DIFFERENTIAL EQUATIONS//NONLINEAR DYNAM ANAL//FRACTIONAL DIFFERENTIAL INCLUSIONS
8 28057 FUNCTIONAL DIFFERENTIAL EQUATION OF HYPERBOLIC TYPE//SCI FUNCT DIFFERENTIAL EQUAT//LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
9 23002 PICONE TYPE INEQUALITY//PICONE IDENTITY//STURMIAN COMPARISON THEOREM
10 6866 CHEMOSTAT//PERMANENCE//IMPULSIVE EFFECT

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