Class information for:
Level 1: LYAPUNOV TYPE INEQUALITY//LYAPUNOV INEQUALITY//OPIALS INEQUALITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23320 350 16.9 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
460 3       POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS 24500
2295 2             OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION 4557
23320 1                   LYAPUNOV TYPE INEQUALITY//LYAPUNOV INEQUALITY//OPIALS INEQUALITY 350

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 LYAPUNOV TYPE INEQUALITY authKW 4550179 16% 95% 55
2 LYAPUNOV INEQUALITY authKW 3026316 13% 75% 46
3 OPIALS INEQUALITY authKW 1794711 7% 86% 24
4 OPIAL TYPE INEQUALITY authKW 1240789 5% 89% 16
5 LYAPUNOVS INEQUALITY authKW 897355 3% 86% 12
6 DISFOCALITY authKW 793118 3% 91% 10
7 OPIAL INEQUALITY authKW 785183 3% 75% 12
8 SECOND ORDER LINEAR DIFFERENTIAL EQUATION authKW 392591 2% 75% 6
9 GENERALIZED ZERO authKW 379307 3% 43% 10
10 LIAPUNOV TYPE INEQUALITY authKW 363512 1% 83% 5

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 11142 70% 0% 245
2 Mathematics 10518 74% 0% 259
3 History of Social Sciences 72 1% 0% 4
4 Mathematics, Interdisciplinary Applications 30 3% 0% 9
5 Computer Science, Software Engineering 10 2% 0% 6
6 Computer Science, Interdisciplinary Applications 3 1% 0% 5
7 Education & Educational Research 2 1% 0% 4
8 Women’s Studies 1 0% 0% 1
9 Computer Science, Theory & Methods 0 1% 0% 3
10 Philosophy 0 0% 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 PE CASTELLANA NORTE 261730 1% 100% 3
2 CULTURE COMMUNITY STUDIES 87243 0% 100% 1
3 LIBERAL ARTS BASIC SCI IND TECHNOL 87243 0% 100% 1
4 NONLINEAR ANAL PL MATH SCI 87243 0% 100% 1
5 PE CASTELLANA N 87243 0% 100% 1
6 SAMARA HUMANITARIAN 87243 0% 100% 1
7 SHANXI PROVINCAL OPTOELECT INFORMAT INS 87243 0% 100% 1
8 VODAFONE CENT NETWORK OPERAT 87243 0% 100% 1
9 VODAFONE SPAIN 87243 0% 100% 1
10 INFORMAT SYST SECUR 76582 3% 7% 12

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 MATHEMATICAL INEQUALITIES & APPLICATIONS 52202 8% 2% 29
2 JOURNAL OF INEQUALITIES AND APPLICATIONS 19243 8% 1% 27
3 JOURNAL OF MATHEMATICAL INEQUALITIES 19102 3% 2% 11
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 8770 13% 0% 46
5 APPLIED MATHEMATICS LETTERS 7273 6% 0% 21
6 DYNAMIC SYSTEMS AND APPLICATIONS 4981 2% 1% 6
7 TOKYO JOURNAL OF MATHEMATICS 3940 1% 2% 3
8 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 3727 2% 1% 6
9 PAEDAGOGICA HISTORICA 3380 1% 1% 4
10 APPLIED MATHEMATICS AND COMPUTATION 2387 6% 0% 22

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 LYAPUNOV TYPE INEQUALITY 4550179 16% 95% 55 Search LYAPUNOV+TYPE+INEQUALITY Search LYAPUNOV+TYPE+INEQUALITY
2 LYAPUNOV INEQUALITY 3026316 13% 75% 46 Search LYAPUNOV+INEQUALITY Search LYAPUNOV+INEQUALITY
3 OPIALS INEQUALITY 1794711 7% 86% 24 Search OPIALS+INEQUALITY Search OPIALS+INEQUALITY
4 OPIAL TYPE INEQUALITY 1240789 5% 89% 16 Search OPIAL+TYPE+INEQUALITY Search OPIAL+TYPE+INEQUALITY
5 LYAPUNOVS INEQUALITY 897355 3% 86% 12 Search LYAPUNOVS+INEQUALITY Search LYAPUNOVS+INEQUALITY
6 DISFOCALITY 793118 3% 91% 10 Search DISFOCALITY Search DISFOCALITY
7 OPIAL INEQUALITY 785183 3% 75% 12 Search OPIAL+INEQUALITY Search OPIAL+INEQUALITY
8 SECOND ORDER LINEAR DIFFERENTIAL EQUATION 392591 2% 75% 6 Search SECOND+ORDER+LINEAR+DIFFERENTIAL+EQUATION Search SECOND+ORDER+LINEAR+DIFFERENTIAL+EQUATION
9 GENERALIZED ZERO 379307 3% 43% 10 Search GENERALIZED+ZERO Search GENERALIZED+ZERO
10 LIAPUNOV TYPE INEQUALITY 363512 1% 83% 5 Search LIAPUNOV+TYPE+INEQUALITY Search LIAPUNOV+TYPE+INEQUALITY

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 AGARWAL, RP , OZBEKLER, A , (2017) LYAPUNOV TYPE INEQUALITIES FOR MIXED NONLINEAR RIEMANN-LIOUVILLE FRACTIONAL DIFFERENTIAL EQUATIONS WITH A FORCING TERM.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 314. ISSUE . P. 69 -78 23 92% 1
2 TIRYAKI, A , CAKMAK, D , AKTAS, MF , (2014) LYAPUNOV-TYPE INEQUALITIES FOR TWO CLASSES OF DIRICHLET QUASILINEAR SYSTEMS.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 17. ISSUE 3. P. 843 -863 24 96% 1
3 CABRERA, I , SADARANGANI, K , SAMET, B , (2017) HARTMAN-WINTNER-TYPE INEQUALITIES FOR A CLASS OF NONLOCAL FRACTIONAL BOUNDARY VALUE PROBLEMS.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 40. ISSUE 1. P. 129 -136 10 100% 2
4 CAKMAK, D , (2014) ON LYAPUNOV-TYPE INEQUALITY FOR A CLASS OF QUASILINEAR SYSTEMS.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 9. P. 1 -10 23 92% 0
5 AKTAS, MF , CAKMAK, D , TIRYAKI, A , (2015) ON THE LYAPUNOV-TYPE INEQUALITIES OF A THREE-POINT BOUNDARY VALUE PROBLEM FOR THIRD ORDER LINEAR DIFFERENTIAL EQUATIONS.APPLIED MATHEMATICS LETTERS. VOL. 45. ISSUE . P. 1 -6 19 100% 4
6 AGARWAL, RP , CETIN, E , OZBEKLER, A , (2017) LYAPUNOV TYPE INEQUALITIES FOR SECOND-ORDER FORCED DYNAMIC EQUATIONS WITH MIXED NONLINEARITIES ON TIME SCALES.REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS. VOL. 111. ISSUE 1. P. 231 -246 19 100% 0
7 AGARWAL, RP , OZBEKLER, A , (2015) DISCONJUGACY VIA LYAPUNOV AND VALLEE-POUSSIN TYPE INEQUALITIES FOR FORCED DIFFERENTIAL EQUATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 265. ISSUE . P. 456 -468 19 100% 2
8 DHAR, S , KONG, QK , (2016) LYAPUNOV-TYPE INEQUALITIES FOR HIGHER ORDER HALF-LINEAR DIFFERENTIAL EQUATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 273. ISSUE . P. 114 -124 19 100% 0
9 AGARWAL, RP , OZBEKLER, A , (2015) LYAPUNOV TYPE INEQUALITIES FOR SECOND ORDER SUB AND SUPER-HALF-LINEAR DIFFERENTIAL EQUATIONS.DYNAMIC SYSTEMS AND APPLICATIONS. VOL. 24. ISSUE 1-2. P. 211 -219 19 100% 1
10 AGARWAL, RP , OZBEKLER, A , (2015) LYAPUNOV TYPE INEQUALITIES FOR EVEN ORDER DIFFERENTIAL EQUATIONS WITH MIXED NONLINEARITIES.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 17 100% 3

Classes with closest relation at Level 1


Rank Class id link
1 21985 INTEGRAL INEQUALITY//TWO INDEPENDENT VARIABLES//RETARDED INTEGRAL INEQUALITY
2 37464 ERDOS MORDELL INEQUALITY//FUNDAMENTAL TRIANGLE INEQUALITY//EULERS INEQUALITY
3 23002 PICONE TYPE INEQUALITY//PICONE IDENTITY//STURMIAN COMPARISON THEOREM
4 15723 EXPONENTIAL CONVEXITY//JENSENS INEQUALITY//SUPERQUADRATIC FUNCTIONS
5 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
6 31232 REGULARLY VARYING SOLUTIONS//SLOWLY VARYING SOLUTIONS//REGULARLY VARYING FUNCTIONS
7 8907 CONJOINED BASIS//LIMIT POINT CASE//TRANSMISSION CONDITIONS
8 36113 ACTOR MANAGER//DAHLEM HUMAN//DEPERTMENT EDUC STUDIES
9 26795 KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS
10 30091 ANALYTIC NUMERICAL SOLUTION//COUPLED DIFFUSION PROBLEM//A PRIORI ERROR BOUND

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