Class information for:
Level 1: MEASURE OF NONCOMPACTNESS//QUADRATIC INTEGRAL EQUATION//FUNCTIONAL INTEGRAL EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18863 533 18.4 36%


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
18863 1                   MEASURE OF NONCOMPACTNESS//QUADRATIC INTEGRAL EQUATION//FUNCTIONAL INTEGRAL EQUATION 533

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 MEASURE OF NONCOMPACTNESS authKW 2209111 21% 34% 114
2 QUADRATIC INTEGRAL EQUATION authKW 1392105 5% 90% 27
3 FUNCTIONAL INTEGRAL EQUATION authKW 1139018 5% 76% 26
4 MEASURE OF WEAK NONCOMPACTNESS authKW 1120437 5% 67% 29
5 DARBO FIXED POINT THEOREM authKW 827813 3% 85% 17
6 MONOTONIC SOLUTIONS authKW 758226 3% 88% 15
7 DARBOS FIXED POINT THEOREM authKW 611066 3% 67% 16
8 NONDECREASING SOLUTIONS authKW 577657 2% 92% 11
9 LARGE CONTRACTION authKW 350890 1% 88% 7
10 NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS authKW 350890 1% 88% 7

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 22667 81% 0% 430
2 Mathematics 15982 74% 0% 394
3 Computer Science, Software Engineering 38 2% 0% 13
4 Computer Science, Interdisciplinary Applications 23 2% 0% 13
5 Physics, Mathematical 16 2% 0% 12
6 Mathematics, Interdisciplinary Applications 11 2% 0% 8
7 Physics, Fluids & Plasmas 0 1% 0% 4
8 Mechanics 0 1% 0% 7
9 Operations Research & Management Science 0 1% 0% 3
10 Mathematical & Computational Biology 0 0% 0% 2

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 SCI PEDAG 85930 1% 50% 3
2 THEORIE POINT FIXE PLICAT 64446 1% 38% 3
3 CENT UNIV KALAA DES SRAGHNAS 57288 0% 100% 1
4 DIPARTIMENTO INGN PROD TERMOENERGET METODI MO 57288 0% 100% 1
5 EQUIPE ANAL MATH CALCUL SCI 57288 0% 100% 1
6 GRP NUMER ANAL OPTIMIZAT 57288 0% 100% 1
7 HIGHER EDUC GUIZHOU PROV 57288 0% 100% 1
8 IND INTERNET THINGS ENGN 57288 0% 100% 1
9 LAN EDP NONLINEAR 57288 0% 100% 1
10 MATH DEPERTMENT 57288 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 FIXED POINT THEORY 41776 3% 4% 17
2 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 31808 2% 6% 10
3 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 24583 4% 2% 19
4 DYNAMIC SYSTEMS AND APPLICATIONS 20463 3% 2% 15
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 17092 11% 1% 60
6 PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 13297 4% 1% 19
7 MEDITERRANEAN JOURNAL OF MATHEMATICS 10661 2% 1% 13
8 JOURNAL OF FUNCTION SPACES 7240 1% 2% 7
9 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 5014 2% 1% 8
10 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 4758 3% 1% 16

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 MEASURE OF NONCOMPACTNESS 2209111 21% 34% 114 Search MEASURE+OF+NONCOMPACTNESS Search MEASURE+OF+NONCOMPACTNESS
2 QUADRATIC INTEGRAL EQUATION 1392105 5% 90% 27 Search QUADRATIC+INTEGRAL+EQUATION Search QUADRATIC+INTEGRAL+EQUATION
3 FUNCTIONAL INTEGRAL EQUATION 1139018 5% 76% 26 Search FUNCTIONAL+INTEGRAL+EQUATION Search FUNCTIONAL+INTEGRAL+EQUATION
4 MEASURE OF WEAK NONCOMPACTNESS 1120437 5% 67% 29 Search MEASURE+OF+WEAK+NONCOMPACTNESS Search MEASURE+OF+WEAK+NONCOMPACTNESS
5 DARBO FIXED POINT THEOREM 827813 3% 85% 17 Search DARBO+FIXED+POINT+THEOREM Search DARBO+FIXED+POINT+THEOREM
6 MONOTONIC SOLUTIONS 758226 3% 88% 15 Search MONOTONIC+SOLUTIONS Search MONOTONIC+SOLUTIONS
7 DARBOS FIXED POINT THEOREM 611066 3% 67% 16 Search DARBOS+FIXED+POINT+THEOREM Search DARBOS+FIXED+POINT+THEOREM
8 NONDECREASING SOLUTIONS 577657 2% 92% 11 Search NONDECREASING+SOLUTIONS Search NONDECREASING+SOLUTIONS
9 LARGE CONTRACTION 350890 1% 88% 7 Search LARGE+CONTRACTION Search LARGE+CONTRACTION
10 NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS 350890 1% 88% 7 Search NONLINEAR+FUNCTIONAL+INTEGRAL+EQUATIONS Search NONLINEAR+FUNCTIONAL+INTEGRAL+EQUATIONS

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 DARWISH, MA , HENDERSON, J , (2012) NONDECREASING SOLUTIONS OF A QUADRATIC INTEGRAL EQUATION OF URYSOHN-STIELTJES TYPE.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 42. ISSUE 2. P. 545-566 25 100% 1
2 CAKAN, U , OZDEMIR, I , (2016) ASYMPTOTIC STABILITY OF SOLUTIONS FOR A CLASS OF NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS OF FRACTIONAL ORDER.STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. VOL. 53. ISSUE 2. P. 256 -288 24 92% 0
3 DARWISH, MA , (2011) NONDECREASING SOLUTIONS OF A FRACTIONAL QUADRATIC INTEGRAL EQUATION OF URYSOHN-VOLTERRA TYPE.DYNAMIC SYSTEMS AND APPLICATIONS. VOL. 20. ISSUE 4. P. 423-437 24 100% 3
4 DARWISH, MA , RZEPKA, B , (2014) ASYMPTOTICALLY STABLE SOLUTIONS OF A GENERALIZED FRACTIONAL QUADRATIC FUNCTIONAL-INTEGRAL EQUATION OF ERDELYI-KOBER TYPE.JOURNAL OF FUNCTION SPACES. VOL. . ISSUE . P. - 24 92% 0
5 BANAS, J , TAOUDI, MA , (2014) FIXED POINTS AND SOLUTIONS OF OPERATOR EQUATIONS FOR THE WEAK TOPOLOGY IN BANACH ALGEBRAS.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 18. ISSUE 3. P. 871 -893 20 95% 4
6 TAOUDI, MA , XIANG, T , (2014) WEAKLY NONCOMPACT FIXED POINT RESULTS OF THE SCHAUDER AND THE KRASNOSEL'SKII TYPE.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 11. ISSUE 2. P. 667-685 18 100% 1
7 DARWISH, MA , (2011) ON A PERTURBED QUADRATIC FRACTIONAL INTEGRAL EQUATION OF ABEL TYPE.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 61. ISSUE 2. P. 182-190 19 100% 5
8 HAMID, HA , AL SAYED, W , (2016) INTEGRABLE SOLUTIONS OF A GENERALIZED MIXED-TYPE FUNCTIONAL INTEGRAL EQUATION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 276. ISSUE . P. 356 -366 17 100% 0
9 XIA, ZN , (2013) GLOBAL ASYMPTOTIC STABILITY FOR NONLINEAR FUNCTIONAL INTEGRAL EQUATION OF MIXED TYPE.JOURNAL OF APPLIED MATHEMATICS. VOL. . ISSUE . P. - 18 100% 1
10 LATRACH, K , (2015) AN EXISTENCE RESULT FOR A CLASS OF NONLINEAR FUNCTIONAL INTEGRAL EQUATIONS.JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS. VOL. 27. ISSUE 2. P. 199 -218 17 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 32309 PICARD OPERATOR//STEP METHOD//FIBRE CONTRACTION PRINCIPLE
2 4048 FRACTIONAL DIFFERENTIAL EQUATIONS//NONLINEAR DYNAM ANAL//FRACTIONAL DIFFERENTIAL INCLUSIONS
3 19373 RANDOM FIXED POINT//RANDOM OPERATOR//RANDOM COINCIDENCE POINT
4 16950 TRANSPORT OPERATOR//FREDHOLM PERTURBATION//ANOMALOUS DIFFUSION LIMIT
5 3936 MILD SOLUTION//NONLOCAL CONDITION//APPROXIMATE CONTROLLABILITY
6 26599 THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO INTEGRAL VOLTERRA EQUATIONS//NONLINEAR VOLTERRA INTEGRAL EQUATIONS//GENERALIZED OSGOOD CONDITION
7 12909 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
8 23194 MULTIPLE DEVIATING ARGUMENTS//LIENARD SYSTEM//BOUNDEDNESS
9 10427 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC
10 12946 RAZUMIKHIN TECHNIQUE//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS//IMPULSIVE DELAY DIFFERENTIAL EQUATION

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