Class information for:
Level 1: RAZUMIKHIN TECHNIQUE//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS//IMPULSIVE DELAY DIFFERENTIAL EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12946 870 16.1 44%


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
1287 2             DIFFERENCE EQUATIONS//MILD SOLUTION//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 8681
12946 1                   RAZUMIKHIN TECHNIQUE//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS//IMPULSIVE DELAY DIFFERENTIAL EQUATION 870

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 RAZUMIKHIN TECHNIQUE authKW 756379 4% 57% 38
2 IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS authKW 370677 3% 41% 26
3 IMPULSIVE DELAY DIFFERENTIAL EQUATION authKW 327559 2% 67% 14
4 STABILITY IN TERMS OF TWO MEASURES authKW 292469 1% 83% 10
5 IMPULSE authKW 291153 10% 10% 83
6 VARIATIONAL LYAPUNOV METHOD authKW 284281 1% 90% 9
7 TWO MEASURES authKW 269970 1% 77% 10
8 P MOMENT STABILITY authKW 258436 1% 82% 9
9 CONE VALUED LYAPUNOV FUNCTIONS authKW 245677 1% 100% 7
10 IMPULSIVE DIFFERENTIAL EQUATIONS authKW 178261 5% 12% 44

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 31045 74% 0% 644
2 Mathematics 10684 48% 0% 417
3 Automation & Control Systems 905 7% 0% 61
4 Mathematics, Interdisciplinary Applications 343 5% 0% 43
5 Physics, Mathematical 58 3% 0% 26
6 Computer Science, Interdisciplinary Applications 32 2% 0% 20
7 Computer Science, Software Engineering 29 2% 0% 16
8 Engineering, General 21 2% 0% 15
9 Mechanics 20 3% 0% 24
10 Operations Research & Management Science 13 1% 0% 12

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 CIENCIA MATEMAT COMPUT 35097 0% 100% 1
2 DEPARTMENT SOCIAL PL SCI 35097 0% 100% 1
3 ESCOL CIENCIAS 35097 0% 100% 1
4 FO TRY ENGN MOBILE STN 35097 0% 100% 1
5 INFORMAT ELECT ENGN ICE 35097 0% 100% 1
6 OPERAT MANAGEMENT OPTIMIZAT 35097 0% 100% 1
7 SCI ESENLER ISTANBUL 35097 0% 100% 1
8 TIMOSHENKO MATH 35097 0% 100% 1
9 PL MATH MODELING 32489 1% 19% 5
10 MATEMAT REALFAG TEKNOL 17547 0% 50% 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 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS 35156 3% 3% 30
2 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 21287 13% 1% 113
3 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 13015 8% 1% 67
4 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS 9086 1% 4% 7
5 APPLIED MATHEMATICS AND COMPUTATION 8937 8% 0% 67
6 DYNAMIC SYSTEMS AND APPLICATIONS 8011 1% 2% 12
7 ADVANCES IN DIFFERENCE EQUATIONS 7225 2% 1% 21
8 NONLINEAR OSCILLATIONS 6522 0% 5% 4
9 COMPUTERS & MATHEMATICS WITH APPLICATIONS 6418 5% 0% 42
10 APPLIED MATHEMATICS LETTERS 6351 4% 1% 31

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 RAZUMIKHIN TECHNIQUE 756379 4% 57% 38 Search RAZUMIKHIN+TECHNIQUE Search RAZUMIKHIN+TECHNIQUE
2 IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS 370677 3% 41% 26 Search IMPULSIVE+FUNCTIONAL+DIFFERENTIAL+EQUATIONS Search IMPULSIVE+FUNCTIONAL+DIFFERENTIAL+EQUATIONS
3 IMPULSIVE DELAY DIFFERENTIAL EQUATION 327559 2% 67% 14 Search IMPULSIVE+DELAY+DIFFERENTIAL+EQUATION Search IMPULSIVE+DELAY+DIFFERENTIAL+EQUATION
4 STABILITY IN TERMS OF TWO MEASURES 292469 1% 83% 10 Search STABILITY+IN+TERMS+OF+TWO+MEASURES Search STABILITY+IN+TERMS+OF+TWO+MEASURES
5 IMPULSE 291153 10% 10% 83 Search IMPULSE Search IMPULSE
6 VARIATIONAL LYAPUNOV METHOD 284281 1% 90% 9 Search VARIATIONAL+LYAPUNOV+METHOD Search VARIATIONAL+LYAPUNOV+METHOD
7 TWO MEASURES 269970 1% 77% 10 Search TWO+MEASURES Search TWO+MEASURES
8 P MOMENT STABILITY 258436 1% 82% 9 Search P+MOMENT+STABILITY Search P+MOMENT+STABILITY
9 CONE VALUED LYAPUNOV FUNCTIONS 245677 1% 100% 7 Search CONE+VALUED+LYAPUNOV+FUNCTIONS Search CONE+VALUED+LYAPUNOV+FUNCTIONS
10 IMPULSIVE DIFFERENTIAL EQUATIONS 178261 5% 12% 44 Search IMPULSIVE+DIFFERENTIAL+EQUATIONS Search IMPULSIVE+DIFFERENTIAL+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 CHENG, P , WU, Z , WANG, LL , (2012) NEW RESULTS ON GLOBAL EXPONENTIAL STABILITY OF IMPULSIVE FUNCTIONAL DIFFERENTIAL SYSTEMS WITH DELAYED IMPULSES.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 32 94% 0
2 AGARWAL, RP , KARAKOC, F , (2010) A SURVEY ON OSCILLATION OF IMPULSIVE DELAY DIFFERENTIAL EQUATIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 60. ISSUE 6. P. 1648 -1685 31 76% 10
3 CHENG, P , YAO, FQ , HUA, MG , (2014) STABILITY ANALYSIS OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH DELAYED IMPULSES VIA COMPARISON PRINCIPLE AND IMPULSIVE DELAY DIFFERENTIAL INEQUALITY.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 23 92% 1
4 CHENG, P , DENG, FQ , YAO, FQ , (2014) EXPONENTIAL STABILITY ANALYSIS OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS WITH DELAYED IMPULSES.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION. VOL. 19. ISSUE 6. P. 2104 -2114 25 71% 14
5 WANG, CQ , (2016) A CLASS OF IMPULSIVE STOCHASTIC PARABOLIC FUNCTIONAL DIFFERENTIAL EQUATIONS AND THEIR ASYMPTOTICS.ACTA APPLICANDAE MATHEMATICAE. VOL. 146. ISSUE 1. P. 163 -186 26 63% 0
6 CHENG, P , DENG, FQ , DAI, XS , (2010) RAZUMIKHIN-TYPE THEOREMS FOR ASYMPTOTIC STABILITY OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS.JOURNAL OF SYSTEMS SCIENCE AND SYSTEMS ENGINEERING. VOL. 19. ISSUE 1. P. 72-84 19 95% 11
7 LIN, DW , LI, XD , O'REGAN, D , (2012) STABILITY ANALYSIS OF GENERALIZED IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS.MATHEMATICAL AND COMPUTER MODELLING. VOL. 55. ISSUE 5-6. P. 1682 -1690 18 90% 11
8 CHENG, P , DENG, FQ , WANG, LL , (2013) THE METHOD OF LYAPUNOV FUNCTION AND EXPONENTIAL STABILITY OF IMPULSIVE DELAY SYSTEMS WITH DELAYED IMPULSES.MATHEMATICAL PROBLEMS IN ENGINEERING. VOL. . ISSUE . P. - 23 72% 0
9 YAO, FQ , DENG, FQ , (2012) STABILITY OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS IN TERMS OF TWO MEASURES VIA COMPARISON APPROACH.SCIENCE CHINA-INFORMATION SCIENCES. VOL. 55. ISSUE 6. P. 1313-1322 19 86% 5
10 SUN, LJ , LIU, CY , LI, XD , (2014) PRACTICAL STABILITY OF IMPULSIVE DISCRETE SYSTEMS WITH TIME DELAYS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 18 86% 2

Classes with closest relation at Level 1


Rank Class id link
1 23942 WEAKLY INTEGRALLY POSITIVE//UNIFORM ASYMPTOTIC STABILITY//INTEGRALLY POSITIVE
2 9809 MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//PERIODIC BOUNDARY VALUE PROBLEM
3 37426 METHOD OF LYAPUNOV FUNCTIONALS CONSTRUCTION//MATH INFORMAT COMP//LYAPUNOV TYPE THEOREMS
4 12909 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
5 36343 RESET CONTROL//RESET CONTROL SYSTEMS//RESET LAW
6 24007 PARTIAL DIFFERENCE EQUATIONS//PARTIAL DIFFERENCE EQUATION//PARABOLIC DIFFERENTIAL EQUATION
7 400 GLOBAL EXPONENTIAL STABILITY//TIME VARYING DELAY//COHEN GROSSBERG NEURAL NETWORKS
8 1672 OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION
9 3936 MILD SOLUTION//NONLOCAL CONDITION//APPROXIMATE CONTROLLABILITY
10 834 POSITIVE PERIODIC SOLUTION//PERMANENCE//PREDATOR PREY SYSTEM

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