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

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
376 3       MATHEMATICS, APPLIED//GLOBAL STABILITY//PERMANENCE 34459
1723 2             OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION 6920
23817 1                   LYAPUNOV TYPE INEQUALITY//LYAPUNOV INEQUALITY//OPIALS INEQUALITY 356

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LYAPUNOV TYPE INEQUALITY authKW 5067976 17% 94% 61
2 LYAPUNOV INEQUALITY authKW 2636794 12% 68% 44
3 OPIALS INEQUALITY authKW 1907960 7% 86% 25
4 OPIAL TYPE INEQUALITY authKW 1192816 4% 84% 16
5 LYAPUNOVS INEQUALITY authKW 997431 4% 87% 13
6 OPIAL INEQUALITY authKW 796761 3% 75% 12
7 DISFOCALITY authKW 737744 3% 83% 10
8 SECOND ORDER LINEAR DIFFERENTIAL EQUATION authKW 398381 2% 75% 6
9 GENERALIZED ZERO authKW 384900 3% 43% 10
10 LIAPUNOV TYPE INEQUALITY authKW 368872 1% 83% 5

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 11866 72% 0% 255
2 Mathematics 11108 76% 0% 269
3 Mathematics, Interdisciplinary Applications 38 3% 0% 10
4 Computer Science, Software Engineering 9 2% 0% 6
5 Computer Science, Interdisciplinary Applications 2 1% 0% 5
6 Computer Science, Theory & Methods 0 1% 0% 3
7 Statistics & Probability -0 1% 0% 2
8 Computer Science, Hardware & Architecture -0 0% 0% 1
9 Acoustics -0 0% 0% 1
10 Automation & Control Systems -0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 PE CASTELLANA NORTE 265589 1% 100% 3
2 BIG DATA ANALYT INTELLIGENT HEALTHCARE 88530 0% 100% 1
3 LIBERAL ARTS BASIC SCI IND TECHNOL 88530 0% 100% 1
4 NONLINEAR ANAL PL MATH SCI 88530 0% 100% 1
5 PE CASTELLANA N 88530 0% 100% 1
6 SAMARA HUMANITARIAN 88530 0% 100% 1
7 SHANXI PROVINCAL OPTOELECT INFORMAT INS 88530 0% 100% 1
8 VODAFONE CENT NETWORK OPERAT 88530 0% 100% 1
9 VODAFONE SPAIN 88530 0% 100% 1
10 INFORMAT SYST SECUR 74968 3% 7% 12

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATHEMATICAL INEQUALITIES & APPLICATIONS 55196 8% 2% 30
2 JOURNAL OF INEQUALITIES AND APPLICATIONS 24407 9% 1% 31
3 JOURNAL OF MATHEMATICAL INEQUALITIES 17832 3% 2% 11
4 DYNAMIC SYSTEMS AND APPLICATIONS 8810 2% 1% 8
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 8329 13% 0% 45
6 APPLIED MATHEMATICS LETTERS 7181 6% 0% 21
7 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 4860 2% 1% 7
8 TOKYO JOURNAL OF MATHEMATICS 3458 1% 1% 3
9 APPLIED MATHEMATICS AND COMPUTATION 2387 6% 0% 22
10 ABSTRACT AND APPLIED ANALYSIS 1997 3% 0% 10

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LYAPUNOV TYPE INEQUALITY 5067976 17% 94% 61 Search LYAPUNOV+TYPE+INEQUALITY Search LYAPUNOV+TYPE+INEQUALITY
2 LYAPUNOV INEQUALITY 2636794 12% 68% 44 Search LYAPUNOV+INEQUALITY Search LYAPUNOV+INEQUALITY
3 OPIALS INEQUALITY 1907960 7% 86% 25 Search OPIALS+INEQUALITY Search OPIALS+INEQUALITY
4 OPIAL TYPE INEQUALITY 1192816 4% 84% 16 Search OPIAL+TYPE+INEQUALITY Search OPIAL+TYPE+INEQUALITY
5 LYAPUNOVS INEQUALITY 997431 4% 87% 13 Search LYAPUNOVS+INEQUALITY Search LYAPUNOVS+INEQUALITY
6 OPIAL INEQUALITY 796761 3% 75% 12 Search OPIAL+INEQUALITY Search OPIAL+INEQUALITY
7 DISFOCALITY 737744 3% 83% 10 Search DISFOCALITY Search DISFOCALITY
8 SECOND ORDER LINEAR DIFFERENTIAL EQUATION 398381 2% 75% 6 Search SECOND+ORDER+LINEAR+DIFFERENTIAL+EQUATION Search SECOND+ORDER+LINEAR+DIFFERENTIAL+EQUATION
9 GENERALIZED ZERO 384900 3% 43% 10 Search GENERALIZED+ZERO Search GENERALIZED+ZERO
10 LIAPUNOV TYPE INEQUALITY 368872 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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 25499 RIGHT DISFOCALITY//RIGHT FOCAL BOUNDARY VALUE PROBLEM//NASH TYPE EQUILIBRIUM
2 21389 INTEGRAL INEQUALITY//TWO INDEPENDENT VARIABLES//RETARDED INTEGRAL INEQUALITY
3 13292 CONJOINED BASIS//LIMIT POINT CASE//DISCRETE SYMPLECTIC SYSTEM
4 12596 HARDYS INEQUALITY//HARDY OPERATOR//HARDY TYPE INEQUALITIES
5 27469 KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS
6 32959 REGULARLY VARYING SOLUTIONS//SLOWLY VARYING SOLUTIONS//EMDEN FOWLER TYPE EQUATION
7 7039 HERMITE HADAMARD INEQUALITY//OSTROWSKI INEQUALITY//CONVEX FUNCTION
8 10975 MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//IMPULSIVE INTEGRO DIFFERENTIAL EQUATION
9 6682 PERIODIC SOLUTION//DEVIATING ARGUMENT//BOUNDEDNESS OF SOLUTIONS
10 30661 ANALYTIC NUMERICAL SOLUTION//COUPLED DIFFUSION PROBLEM//MATRIX DIFFERENCE SCHEME

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