Class information for:
Level 1: CAUSAL EQUATIONS//CRITICAL CASES OF STABILITY//FIRST LYAPUNOVS METHOD

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
30470 1                   CAUSAL EQUATIONS//CRITICAL CASES OF STABILITY//FIRST LYAPUNOVS METHOD 183

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CAUSAL EQUATIONS authKW 172224 1% 100% 1
2 CRITICAL CASES OF STABILITY authKW 172224 1% 100% 1
3 FIRST LYAPUNOVS METHOD authKW 172224 1% 100% 1
4 GLOBAL UNIFORM LIPSCHITZ STABILITY authKW 172224 1% 100% 1
5 LEVIN COMPARISON THEOREM authKW 172224 1% 100% 1
6 LIPSCHITZ STABILITY VOLTERRA INTEGRODIFFERENTIAL SYSTEM authKW 172224 1% 100% 1
7 MEAN SQUARE ASYMPTOTIC CONVERGENCE authKW 172224 1% 100% 1
8 N POINT BOUNDARY CONDITIONS authKW 172224 1% 100% 1
9 NONCONVOLUTION authKW 172224 1% 100% 1
10 NONLINEAR SUMMARY DIFFERENCE EQUATIONS authKW 172224 1% 100% 1

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 5179 66% 0% 121
2 Mathematics 2872 54% 0% 99
3 Automation & Control Systems 109 5% 0% 10
4 Mechanics 68 8% 0% 14
5 Multidisciplinary Sciences 23 2% 0% 4
6 Materials Science, Composites 7 1% 0% 2
7 Instruments & Instrumentation 3 2% 0% 4
8 Computer Science, Interdisciplinary Applications 2 2% 0% 3
9 Mathematics, Interdisciplinary Applications 1 1% 0% 2
10 Computer Science, Software Engineering 1 1% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DORODNICYN COMP 2343 2% 0% 3
2 DORODNITSYN COMP 1623 1% 1% 1
3 ENGN MATH 749 2% 0% 3
4 NUMER MATH 568 1% 0% 2
5 MATH STAT PL MATH 315 1% 0% 1
6 DIPARTMENTO MATEMAT 212 1% 0% 1
7 MATH 157 12% 0% 22
8 MATH COMP 139 1% 0% 1
9 MATH SCI 61 3% 0% 6
10 DIPARTIMENTO MATEMAT 45 1% 0% 2

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF INTEGRAL EQUATIONS 129473 5% 8% 10
2 ANALYSIS MATHEMATICA 9276 2% 2% 3
3 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 7684 7% 0% 13
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 7219 16% 0% 30
5 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 5377 4% 0% 8
6 QUARTERLY OF APPLIED MATHEMATICS 5144 4% 0% 7
7 SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES 4345 2% 1% 4
8 TOHOKU MATHEMATICAL JOURNAL 1237 2% 0% 3
9 CZECHOSLOVAK MATHEMATICAL JOURNAL 1201 2% 0% 4
10 APPLIED MATHEMATICS LETTERS 1135 3% 0% 6

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CAUSAL EQUATIONS 172224 1% 100% 1 Search CAUSAL+EQUATIONS Search CAUSAL+EQUATIONS
2 CRITICAL CASES OF STABILITY 172224 1% 100% 1 Search CRITICAL+CASES+OF+STABILITY Search CRITICAL+CASES+OF+STABILITY
3 FIRST LYAPUNOVS METHOD 172224 1% 100% 1 Search FIRST+LYAPUNOVS+METHOD Search FIRST+LYAPUNOVS+METHOD
4 GLOBAL UNIFORM LIPSCHITZ STABILITY 172224 1% 100% 1 Search GLOBAL+UNIFORM+LIPSCHITZ+STABILITY Search GLOBAL+UNIFORM+LIPSCHITZ+STABILITY
5 LEVIN COMPARISON THEOREM 172224 1% 100% 1 Search LEVIN+COMPARISON+THEOREM Search LEVIN+COMPARISON+THEOREM
6 LIPSCHITZ STABILITY VOLTERRA INTEGRODIFFERENTIAL SYSTEM 172224 1% 100% 1 Search LIPSCHITZ+STABILITY+VOLTERRA+INTEGRODIFFERENTIAL+SYSTEM Search LIPSCHITZ+STABILITY+VOLTERRA+INTEGRODIFFERENTIAL+SYSTEM
7 MEAN SQUARE ASYMPTOTIC CONVERGENCE 172224 1% 100% 1 Search MEAN+SQUARE+ASYMPTOTIC+CONVERGENCE Search MEAN+SQUARE+ASYMPTOTIC+CONVERGENCE
8 N POINT BOUNDARY CONDITIONS 172224 1% 100% 1 Search N+POINT+BOUNDARY+CONDITIONS Search N+POINT+BOUNDARY+CONDITIONS
9 NONCONVOLUTION 172224 1% 100% 1 Search NONCONVOLUTION Search NONCONVOLUTION
10 NONLINEAR SUMMARY DIFFERENCE EQUATIONS 172224 1% 100% 1 Search NONLINEAR+SUMMARY+DIFFERENCE+EQUATIONS Search NONLINEAR+SUMMARY+DIFFERENCE+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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 24367 WEAKLY INTEGRALLY POSITIVE//UNIFORM ASYMPTOTIC STABILITY//INTEGRALLY POSITIVE
2 11519 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
3 14466 RAZUMIKHIN TECHNIQUE//IMPULSIVE DELAY DIFFERENTIAL EQUATION//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS
4 27828 THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO INTEGRAL VOLTERRA EQUATIONS//GENERALIZED OSGOOD CONDITION//NONLINEAR INTEGRAL VOLTERRA EQUATIONS
5 22246 MULTIPLE DEVIATING ARGUMENTS//LIENARD SYSTEM//BOUNDEDNESS
6 9876 INFINITE DIMENSIONAL SYSTEMS//WELL POSED LINEAR SYSTEM//REGULAR LINEAR SYSTEM
7 30195 COMPUTER AIDED CONTROLLER SYNTHESIS//MODEL MATCHING CONTROLLER//PID AUTOTUNING
8 1539 OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION
9 21389 INTEGRAL INEQUALITY//TWO INDEPENDENT VARIABLES//RETARDED INTEGRAL INEQUALITY
10 19614 MEASURE OF NONCOMPACTNESS//QUADRATIC INTEGRAL EQUATION//FUNCTIONAL INTEGRAL EQUATION

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