Class information for:
Level 1: GENERAL DECAY//RELAXATION FUNCTION//EXPONENTIAL DECAY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1480 2633 20.7 47%


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
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
1160 2             STRICHARTZ ESTIMATES//GLOBAL EXISTENCE//BLOW UP 9464
1480 1                   GENERAL DECAY//RELAXATION FUNCTION//EXPONENTIAL DECAY 2633

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 GENERAL DECAY authKW 845285 3% 90% 81
2 RELAXATION FUNCTION authKW 613781 3% 69% 77
3 EXPONENTIAL DECAY authKW 494564 5% 33% 128
4 ENERGY DECAY authKW 429684 2% 57% 65
5 POLYNOMIAL DECAY authKW 428290 2% 75% 49
6 TIMOSHENKO SYSTEM authKW 366517 1% 88% 36
7 ACOUSTIC BOUNDARY CONDITIONS authKW 318368 1% 89% 31
8 BOUNDARY DAMPING authKW 312454 1% 84% 32
9 WAVE EQUATION authKW 306681 8% 13% 202
10 UNIFORM DECAY authKW 298158 1% 86% 30

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 83443 70% 0% 1839
2 Mathematics 35045 50% 0% 1312
3 Automation & Control Systems 7431 11% 0% 297
4 Mechanics 225 4% 0% 112
5 Mathematics, Interdisciplinary Applications 103 2% 0% 50
6 Computer Science, Cybernetics 94 1% 0% 17
7 Physics, Mathematical 90 2% 0% 62
8 Operations Research & Management Science 72 2% 0% 44
9 Acoustics 27 1% 0% 25
10 Engineering, General 18 1% 0% 31

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 SCI TECH VALENCIENNES 121080 1% 34% 31
2 UNIV NAT SCI 97488 1% 28% 30
3 FR CNRS 2956 68180 1% 29% 20
4 EDUC ACCREDITAT 63127 0% 78% 7
5 PROGRAMA POS MATEMAT ESTAT 57977 0% 100% 5
6 ANAL CONTROL PARTIAL DIFFERENTIAL EQUAT 46381 0% 100% 4
7 RECH MATH AVANCEE 42275 2% 8% 44
8 LAMAV 40240 1% 12% 30
9 EQUIPE EDP AN 37104 0% 80% 4
10 ECOLE INGENIEURS BIZERTE 36232 0% 63% 5

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 EVOLUTION EQUATIONS AND CONTROL THEORY 62817 1% 18% 30
2 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 45483 5% 3% 119
3 SIAM JOURNAL ON CONTROL AND OPTIMIZATION 35646 4% 3% 106
4 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 34559 7% 2% 190
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 22090 8% 1% 201
6 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 20593 3% 2% 74
7 QUARTERLY OF APPLIED MATHEMATICS 18588 2% 3% 51
8 JOURNAL OF DIFFERENTIAL EQUATIONS 16623 4% 1% 102
9 ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 15045 1% 4% 32
10 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 13583 2% 2% 55

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 GENERAL DECAY 845285 3% 90% 81 Search GENERAL+DECAY Search GENERAL+DECAY
2 RELAXATION FUNCTION 613781 3% 69% 77 Search RELAXATION+FUNCTION Search RELAXATION+FUNCTION
3 EXPONENTIAL DECAY 494564 5% 33% 128 Search EXPONENTIAL+DECAY Search EXPONENTIAL+DECAY
4 ENERGY DECAY 429684 2% 57% 65 Search ENERGY+DECAY Search ENERGY+DECAY
5 POLYNOMIAL DECAY 428290 2% 75% 49 Search POLYNOMIAL+DECAY Search POLYNOMIAL+DECAY
6 TIMOSHENKO SYSTEM 366517 1% 88% 36 Search TIMOSHENKO+SYSTEM Search TIMOSHENKO+SYSTEM
7 ACOUSTIC BOUNDARY CONDITIONS 318368 1% 89% 31 Search ACOUSTIC+BOUNDARY+CONDITIONS Search ACOUSTIC+BOUNDARY+CONDITIONS
8 BOUNDARY DAMPING 312454 1% 84% 32 Search BOUNDARY+DAMPING Search BOUNDARY+DAMPING
9 WAVE EQUATION 306681 8% 13% 202 Search WAVE+EQUATION Search WAVE+EQUATION
10 UNIFORM DECAY 298158 1% 86% 30 Search UNIFORM+DECAY Search UNIFORM+DECAY

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 ZHANG, ZY , LIU, ZH , GAN, XY , (2013) GLOBAL EXISTENCE AND GENERAL DECAY FOR A NONLINEAR VISCOELASTIC EQUATION WITH NONLINEAR LOCALIZED DAMPING AND VELOCITY-DEPENDENT MATERIAL DENSITY.APPLICABLE ANALYSIS. VOL. 92. ISSUE 10. P. 2021 -2048 47 90% 3
2 GUESMIA, A , (2015) ON INTEGRAL INEQUALITIES AND APPLICATIONS TO THE STABILITY OF SOME SYSTEMS DISTRIBUTED NON DISSIPATIVE.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 506. P. 4 -52 43 90% 0
3 GUESMIA, A , TATAR, NE , (2015) SOME WELL-POSEDNESS AND STABILITY RESULTS FOR ABSTRACT HYPERBOLIC EQUATIONS WITH INFINITE MEMORY AND DISTRIBUTED TIME DELAY.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. VOL. 14. ISSUE 2. P. 457 -491 37 100% 1
4 GUO, YQ , RAMMAHA, MA , SAKUNTASATHIEN, S , (2017) BLOW-UP OF A HYPERBOLIC EQUATION OF VISCOELASTICITY WITH SUPERCRITICAL NONLINEARITIES.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 262. ISSUE 3. P. 1956 -1979 36 90% 0
5 GUESMIA, A , (2015) ASYMPTOTIC BEHAVIOR FOR COUPLED ABSTRACT EVOLUTION EQUATIONS WITH ONE INFINITE MEMORY.APPLICABLE ANALYSIS. VOL. 94. ISSUE 1. P. 184 -217 32 100% 3
6 TEBOU, L , (2016) STABILIZATION OF SOME ELASTODYNAMIC SYSTEMS WITH LOCALIZED KELVIN-VOIGT DAMPING.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 36. ISSUE 12. P. 7117 -7136 42 78% 0
7 MESSAOUDI, SA , APALARA, TA , (2015) ASYMPTOTIC STABILITY OF THERMOELASTICITY TYPE III WITH DELAY TERM AND INFINITE MEMORY.IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION. VOL. 32. ISSUE 1. P. 75 -95 36 92% 0
8 TEBOU, L , (2013) SIMULTANEOUS STABILIZATION OF A SYSTEM OF INTERACTING PLATE AND MEMBRANE.EVOLUTION EQUATIONS AND CONTROL THEORY. VOL. 2. ISSUE 1. P. 153 -172 39 89% 0
9 APALARA, TA , MESSAOUDI, SA , (2015) AN EXPONENTIAL STABILITY RESULT OF A TIMOSHENKO SYSTEM WITH THERMOELASTICITY WITH SECOND SOUND AND IN THE PRESENCE OF DELAY.APPLIED MATHEMATICS AND OPTIMIZATION. VOL. 71. ISSUE 3. P. 449 -472 31 100% 2
10 LI, J , CHAI, SG , (2016) EXISTENCE AND ENERGY DECAY RATES OF SOLUTIONS TO THE VARIABLE-COEFFICIENT EULER BERNOULLI PLATE WITH A DELAY IN LOCALIZED NONLINEAR INTERNAL FEEDBACK.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 443. ISSUE 2. P. 981 -1006 29 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 20760 DISSIPATIVE WAVE EQUATION//DAMPED WAVE EQUATION//KIRCHHOFF EQUATION
2 31383 AEROELASTIC MODES//ROOT VECTORS//CONVOLUTION INTEGRAL OPERATOR
3 4237 CARLEMAN ESTIMATES//NULL CONTROLLABILITY//CARLEMAN INEQUALITIES
4 23840 DOUBLE DISPERSION EQUATION//DAMPED BOUSSINESQ EQUATION//BOUSSINESQ EQUATION
5 6597 BOUNDARY CONTROL//DISTRIBUTED PARAMETER SYSTEMS//INFINITE DIMENSIONAL SYSTEMS
6 21417 WENTZELL BOUNDARY CONDITIONS//DYNAMICAL BOUNDARY CONDITIONS//FR CNRS MATH 2956
7 4698 PULLBACK ATTRACTOR//GLOBAL ATTRACTOR//RANDOM ATTRACTOR
8 31189 TWO TIMESCALES PERTURBATION METHOD//GALERKIN AVERAGING METHOD//WEAKLY NONLINEAR BEAM EQUATION
9 22378 HEAVY BALL WITH FRICTION//KURDYKA LOJASIEWICZ INEQUALITY//DISSIPATIVE DYNAMICAL SYSTEM
10 29872 DIRAC HYDROGEN ATOM//QUANTIZED MAGNETIC FLUX//HYPOTHESIS FOR GENERALIZED GRAVITATIONAL THEORY

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