Class information for:
Level 1: WEAKLY INTEGRALLY POSITIVE//UNIFORM ASYMPTOTIC STABILITY//INTEGRALLY POSITIVE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23942 329 17.6 23%


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
23942 1                   WEAKLY INTEGRALLY POSITIVE//UNIFORM ASYMPTOTIC STABILITY//INTEGRALLY POSITIVE 329

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 WEAKLY INTEGRALLY POSITIVE authKW 1113745 4% 100% 12
2 UNIFORM ASYMPTOTIC STABILITY authKW 321249 5% 23% 15
3 INTEGRALLY POSITIVE authKW 278436 1% 100% 3
4 DAMPED LINEAR OSCILLATOR authKW 212138 1% 57% 4
5 INTERMITTENT DAMPING authKW 208826 1% 75% 3
6 LIAPUNOV FUNCTIONALS authKW 197720 2% 30% 7
7 ANNULUS ARGUMENT authKW 185624 1% 100% 2
8 LIMIT DIFFERENTIAL INCLUSION authKW 185624 1% 100% 2
9 LIMIT FUNCTIONAL authKW 185624 1% 100% 2
10 MEISSNERS EQUATION authKW 185624 1% 100% 2

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 7735 66% 0% 216
2 Mathematics, Applied 6394 55% 0% 181
3 Automation & Control Systems 201 5% 0% 18
4 Mechanics 145 8% 0% 27
5 Multidisciplinary Sciences 55 2% 0% 8
6 Instruments & Instrumentation 46 5% 0% 15
7 Language & Linguistics 3 1% 0% 2
8 Computer Science, Cybernetics 2 0% 0% 1
9 Engineering, General 1 1% 0% 3
10 Computer Science, Software Engineering 0 1% 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 SYST FUNCT CONSTRUCT 185624 1% 100% 2
2 NIZHI TAGIL TECHNOL 92812 0% 100% 1
3 SP TIMOSENKO MECH 92812 0% 100% 1
4 DYNAM CONTROL THEORY 61872 1% 33% 2
5 PE CASTELLANO NORTE 46405 0% 50% 1
6 RENYI ALFRED MATEMAT KUTATOINTEZETE 46405 0% 50% 1
7 TECHNOL INFORMAT SYST CITIS 46405 0% 50% 1
8 URA CNRS D1440 46405 0% 50% 1
9 NIZHNI TAGIL BRANCH 30936 0% 33% 1
10 NIZHNII TAGIL TECHNOL 23202 0% 25% 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 DIFFERENTIAL EQUATIONS 14312 7% 1% 24
2 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 12313 12% 0% 40
3 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS 12267 2% 3% 5
4 ACTA SCIENTIARUM MATHEMATICARUM 7882 2% 2% 5
5 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 7747 4% 1% 13
6 TOHOKU MATHEMATICAL JOURNAL 6099 3% 1% 9
7 ACTA TECHNICA ACADEMIAE SCIENTIARUM HUNGARICAE 5154 0% 6% 1
8 AUTOMATION AND REMOTE CONTROL 4832 4% 0% 14
9 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 4220 9% 0% 31
10 JOURNAL OF INTEGRAL EQUATIONS 2787 1% 2% 2

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 WEAKLY INTEGRALLY POSITIVE 1113745 4% 100% 12 Search WEAKLY+INTEGRALLY+POSITIVE Search WEAKLY+INTEGRALLY+POSITIVE
2 UNIFORM ASYMPTOTIC STABILITY 321249 5% 23% 15 Search UNIFORM+ASYMPTOTIC+STABILITY Search UNIFORM+ASYMPTOTIC+STABILITY
3 INTEGRALLY POSITIVE 278436 1% 100% 3 Search INTEGRALLY+POSITIVE Search INTEGRALLY+POSITIVE
4 DAMPED LINEAR OSCILLATOR 212138 1% 57% 4 Search DAMPED+LINEAR+OSCILLATOR Search DAMPED+LINEAR+OSCILLATOR
5 INTERMITTENT DAMPING 208826 1% 75% 3 Search INTERMITTENT+DAMPING Search INTERMITTENT+DAMPING
6 LIAPUNOV FUNCTIONALS 197720 2% 30% 7 Search LIAPUNOV+FUNCTIONALS Search LIAPUNOV+FUNCTIONALS
7 ANNULUS ARGUMENT 185624 1% 100% 2 Search ANNULUS+ARGUMENT Search ANNULUS+ARGUMENT
8 LIMIT DIFFERENTIAL INCLUSION 185624 1% 100% 2 Search LIMIT+DIFFERENTIAL+INCLUSION Search LIMIT+DIFFERENTIAL+INCLUSION
9 LIMIT FUNCTIONAL 185624 1% 100% 2 Search LIMIT+FUNCTIONAL Search LIMIT+FUNCTIONAL
10 MEISSNERS EQUATION 185624 1% 100% 2 Search MEISSNERS+EQUATION Search MEISSNERS+EQUATION

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 ANDREEV, AS , (2009) THE LYAPUNOV FUNCTIONALS METHOD IN STABILITY PROBLEMS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS.AUTOMATION AND REMOTE CONTROL. VOL. 70. ISSUE 9. P. 1438-1486 21 95% 7
2 HATA, S , SUGIE, J , (2013) A NECESSARY AND SUFFICIENT CONDITION FOR THE GLOBAL ASYMPTOTIC STABILITY OF DAMPED HALF-LINEAR OSCILLATORS.ACTA MATHEMATICA HUNGARICA. VOL. 138. ISSUE 1-2. P. 156 -172 12 100% 1
3 SUGIE, J , ONITSUKA, M , (2014) GROWTH CONDITIONS FOR UNIFORM ASYMPTOTIC STABILITY OF DAMPED OSCILLATORS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 98. ISSUE . P. 83-103 15 71% 0
4 SUGIE, J , KIRA, K , (2015) UNIFORM GLOBAL ASYMPTOTIC STABILITY FOR OSCILLATORS WITH SUPERLINEAR DAMPING.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 425. ISSUE 2. P. 827 -853 15 68% 0
5 SUGIE, J , (2013) SMITH-TYPE CRITERION FOR THE ASYMPTOTIC STABILITY OF A PENDULUM WITH TIME-DEPENDENT DAMPING.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 141. ISSUE 7. P. 2419-2427 9 100% 1
6 SUGIE, J , (2011) GLOBAL ASYMPTOTIC STABILITY FOR DAMPED HALF-LINEAR OSCILLATORS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 74. ISSUE 18. P. 7151 -7167 14 67% 1
7 HATVANI, L , (2002) ON THE ASYMPTOTIC STABILITY FOR NONAUTONOMOUS FUNCTIONAL DIFFERENTIAL EQUATIONS BY LYAPUNOV FUNCTIONALS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 354. ISSUE 9. P. 3555 -3571 14 82% 9
8 HATVANI, L , (2000) ON THE ASYMPTOTIC STABILITY FOR FUNCTIONAL DIFFERENTIAL EQUATIONS BY LYAPUNOV FUNCTIONALS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 40. ISSUE 1-8. P. 251 -263 14 82% 5
9 ZHENG, W , SUGIE, J , (2016) PARAMETER DIAGRAM FOR GLOBAL ASYMPTOTIC STABILITY OF DAMPED HALF-LINEAR OSCILLATORS.MONATSHEFTE FUR MATHEMATIK. VOL. 179. ISSUE 1. P. 149 -160 11 65% 0
10 HATVANI, L , (2001) ON THE ASYMPTOTIC STABILITY FOR FUNCTIONAL DIFFERENTIAL EQUATIONS BY LYAPUNOV FUNCTIONALS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 47. ISSUE 7. P. 4333 -4343 11 92% 3

Classes with closest relation at Level 1


Rank Class id link
1 12946 RAZUMIKHIN TECHNIQUE//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS//IMPULSIVE DELAY DIFFERENTIAL EQUATION
2 23194 MULTIPLE DEVIATING ARGUMENTS//LIENARD SYSTEM//BOUNDEDNESS
3 12909 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
4 29560 PARTIAL INTEGRAL OPERATORS//COMPONENTWISE EXPONENTIAL ASYMPTOTIC STABILITY//DIFFERENTIAL DIFFERENCE EQUAT
5 18936 INTERNATIONAL APPLIED MECHANICS//SP TIMOSHENKO MECH//ASYMMETRIC FOLLOWER FORCE
6 20482 PARAMETRIC ROLL//SHIP STABILITY//SURF RIDING
7 31079 CAUSAL MAPPINGS//ABSTRACT DIFFERENTIAL DELAY EQUATIONS//ABSTRACT NONLINEAR DIFFERENTIAL DELAY EQUATIONS
8 30733 ADJOINT FLOQUET SOLUTIONS//STABILITY IN NONLINEAR APPROXIMATION//PERIODIC PERTURBATIONS
9 10427 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC
10 3936 MILD SOLUTION//NONLOCAL CONDITION//APPROXIMATE CONTROLLABILITY

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