Class information for:
Level 1: PICARD OPERATOR//STEP METHOD//FIBRE CONTRACTION PRINCIPLE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
32309 141 18.6 21%


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
609 3       FIXED POINT//HYERS ULAM STABILITY//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 14179
2302 2             FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 4535
32309 1                   PICARD OPERATOR//STEP METHOD//FIBRE CONTRACTION PRINCIPLE 141

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 PICARD OPERATOR authKW 1133011 13% 28% 19
2 STEP METHOD authKW 1031856 6% 53% 9
3 FIBRE CONTRACTION PRINCIPLE authKW 866257 3% 100% 4
4 NEWTON INTERPOLATING SERIES authKW 866257 3% 100% 4
5 WEAKLY PICARD OPERATOR authKW 703814 9% 25% 13
6 PEROVS FIXED POINT THEOREM authKW 676759 4% 63% 5
7 PERIODIC SUCCESSIVE APPROXIMATIONS authKW 649692 2% 100% 3
8 NUMERICAL ANALYTIC METHOD authKW 519747 4% 40% 6
9 INTERVAL HALVING authKW 495000 3% 57% 4
10 DATA DEPENDENCE authKW 470550 12% 13% 17

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 6030 88% 0% 124
2 Mathematics, Applied 3888 65% 0% 92
3 Multidisciplinary Sciences 7 1% 0% 2
4 Nursing 1 1% 0% 1
5 Automation & Control Systems 0 1% 0% 1
6 Mathematics, Interdisciplinary Applications 0 1% 0% 1
7 Computer Science, Software Engineering 0 1% 0% 1
8 Statistics & Probability 0 1% 0% 1
9 Computer Science, Interdisciplinary Applications 0 1% 0% 1
10 Physics, Mathematical -0 1% 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 AUTOMAT CUMPUTER SCI 216564 1% 100% 1
2 POST EDUC STAFF RETRAINING 216564 1% 100% 1
3 UNIRII 18 216564 1% 100% 1
4 T POPOVICIU NUMER ANAL 120305 4% 11% 5
5 ECON SCI BUSSINESS ADM 108281 1% 50% 1
6 TIBERIU POPOVICIU NUMER ANAL 77958 2% 12% 3
7 MECH ENGN CIVIL ENGN DECIS SYST 72187 1% 33% 1
8 STAT FORECASTS MATH 27940 1% 6% 2
9 ECON SCI BUSINESS ADM 26246 1% 6% 2
10 ANAL 18769 11% 1% 15

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 CARPATHIAN JOURNAL OF MATHEMATICS 446286 18% 8% 26
2 FIXED POINT THEORY 107161 10% 4% 14
3 MISKOLC MATHEMATICAL NOTES 62970 8% 3% 11
4 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 9269 4% 1% 6
5 BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE 5973 2% 1% 3
6 DIFFERENTIAL EQUATIONS 2836 5% 0% 7
7 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 2215 3% 0% 4
8 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 1446 6% 0% 9
9 MATHEMATISCHE NACHRICHTEN 1345 4% 0% 5
10 ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE 1295 1% 1% 1

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 PICARD OPERATOR 1133011 13% 28% 19 Search PICARD+OPERATOR Search PICARD+OPERATOR
2 STEP METHOD 1031856 6% 53% 9 Search STEP+METHOD Search STEP+METHOD
3 FIBRE CONTRACTION PRINCIPLE 866257 3% 100% 4 Search FIBRE+CONTRACTION+PRINCIPLE Search FIBRE+CONTRACTION+PRINCIPLE
4 NEWTON INTERPOLATING SERIES 866257 3% 100% 4 Search NEWTON+INTERPOLATING+SERIES Search NEWTON+INTERPOLATING+SERIES
5 WEAKLY PICARD OPERATOR 703814 9% 25% 13 Search WEAKLY+PICARD+OPERATOR Search WEAKLY+PICARD+OPERATOR
6 PEROVS FIXED POINT THEOREM 676759 4% 63% 5 Search PEROVS+FIXED+POINT+THEOREM Search PEROVS+FIXED+POINT+THEOREM
7 PERIODIC SUCCESSIVE APPROXIMATIONS 649692 2% 100% 3 Search PERIODIC+SUCCESSIVE+APPROXIMATIONS Search PERIODIC+SUCCESSIVE+APPROXIMATIONS
8 NUMERICAL ANALYTIC METHOD 519747 4% 40% 6 Search NUMERICAL+ANALYTIC+METHOD Search NUMERICAL+ANALYTIC+METHOD
9 INTERVAL HALVING 495000 3% 57% 4 Search INTERVAL+HALVING Search INTERVAL+HALVING
10 DATA DEPENDENCE 470550 12% 13% 17 Search DATA+DEPENDENCE Search DATA+DEPENDENCE

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 RONTO, M , VARHA, Y , (2014) CONSTRUCTIVE EXISTENCE ANALYSIS OF SOLUTIONS OF NON-LINEAR INTEGRAL BOUNDARY VALUE PROBLEMS.MISKOLC MATHEMATICAL NOTES. VOL. 15. ISSUE 2. P. 725 -742 9 100% 2
2 RUS, IA , (2010) SOME NONLINEAR FUNCTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS, VIA WEAKLY PICARD OPERATOR THEORY: A SURVEY.CARPATHIAN JOURNAL OF MATHEMATICS. VOL. 26. ISSUE 2. P. 230 -258 17 44% 16
3 MURESAN, V , (2014) A VOLTERRA FUNCTIONAL-INTEGRAL EQUATION, VIA WEAKLY PICARD OPERATORS' TECHNIQUE.CARPATHIAN JOURNAL OF MATHEMATICS. VOL. 30. ISSUE 3. P. 369 -375 7 100% 0
4 RONTO, A , RONTO, M , SHCHOBAK, N , (2013) CONSTRUCTIVE ANALYSIS OF PERIODIC SOLUTIONS WITH INTERVAL HALVING.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 7 100% 1
5 RONTO, A , RONTO, M , VARHA, J , (2016) ON NON-LINEAR BOUNDARY VALUE PROBLEMS AND PARAMETRISATION AT MULTIPLE NODES.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 80. P. - 6 100% 0
6 DOBRITOIU, M , SERBAN, MA , (2010) A SYSTEM OF INTEGRAL EQUATIONS ARISING FROM INFECTIOUS DISEASES, VIA PICARD OPERATORS.CARPATHIAN JOURNAL OF MATHEMATICS. VOL. 26. ISSUE 2. P. 170-183 8 80% 1
7 MARYNETS, K , (2016) ON THE CONSTRUCTION OF THE APPROXIMATE SOLUTION OF A SPECIAL TYPE INTEGRAL BOUNDARY VALUE PROBLEM.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 6. P. 1 -14 5 100% 0
8 OLARU, IM , (2014) AN INTEGRAL EQUATION RELATED TO AN EPIDEMIC MODEL VIA WEAKLY PICARD OPERATORS TECHNIQUE IN A GAUGE SPACE.FIXED POINT THEORY. VOL. 15. ISSUE 1. P. 179 -188 6 86% 0
9 RONTO, M , VARHA, Y , (2015) SUCCESSIVE APPROXIMATIONS AND INTERVAL HALVING FOR INTEGRAL BOUNDARY VALUE PROBLEMS.MISKOLC MATHEMATICAL NOTES. VOL. 16. ISSUE 2. P. 1129 -1152 6 75% 0
10 RONTO, A , RONTO, M , VARHA, J , (2015) A NEW APPROACH TO NON-LOCAL BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL SYSTEMS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 250. ISSUE . P. 689 -700 4 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 18863 MEASURE OF NONCOMPACTNESS//QUADRATIC INTEGRAL EQUATION//FUNCTIONAL INTEGRAL EQUATION
2 28057 FUNCTIONAL DIFFERENTIAL EQUATION OF HYPERBOLIC TYPE//SCI FUNCT DIFFERENTIAL EQUAT//LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
3 34196 ABS METHODS//WZ FACTORIZATION//ABS ALGORITHMS
4 21985 INTEGRAL INEQUALITY//TWO INDEPENDENT VARIABLES//RETARDED INTEGRAL INEQUALITY
5 9809 MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//PERIODIC BOUNDARY VALUE PROBLEM
6 23995 ITERATIVE ROOT//ITERATIVE FUNCTIONAL EQUATION//ITERATION SEMIGROUP
7 473 FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES
8 28238 CONICAL APPROXIMATIONS//DUBOVITSKII MILYUTIN THEOREM//DISTRIBUTED CONTROL PROBLEMS
9 22267 DISCONTINUOUS SELECTIONS//IMPLICIT ELLIPTIC EQUATIONS//DISCONTINUOUS DIFFERENTIAL EQUATIONS
10 20220 BORNOLOGY//WIJSMAN TOPOLOGY//ATTOUCH WETS CONVERGENCE

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