Class information for:
Level 1: PARTIAL DIFFERENCE EQUATIONS//PARTIAL DIFFERENCE EQUATION//PARABOLIC DIFFERENTIAL EQUATION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
24007 326 12.2 37%



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
2295 2             OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION 4557
24007 1                   PARTIAL DIFFERENCE EQUATIONS//PARTIAL DIFFERENCE EQUATION//PARABOLIC DIFFERENTIAL EQUATION 326

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 PARTIAL DIFFERENCE EQUATIONS authKW 786469 7% 37% 23
2 PARTIAL DIFFERENCE EQUATION authKW 676719 5% 43% 17
3 PARABOLIC DIFFERENTIAL EQUATION authKW 539685 3% 52% 11
4 CONTINUOUS DISTRIBUTED DEVIATING ARGUMENTS authKW 468331 2% 100% 5
5 DISCRETE SPATIOTEMPORAL SYSTEM authKW 468331 2% 100% 5
6 DISTRIBUTED DEVIATING ARGUMENTS authKW 435895 3% 42% 11
7 DELAY PARTIAL DIFFERENCE EQUATION authKW 374665 1% 100% 4
8 HYPERBOLIC DIFFERENTIAL EQUATION authKW 315498 2% 42% 8
9 FREQUENCY MEASURE authKW 280999 1% 100% 3
10 IMPULSIVE PARABOLIC EQUATIONS authKW 280999 1% 100% 3

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 11020 72% 0% 235
2 Mathematics 2642 39% 0% 128
3 Mathematics, Interdisciplinary Applications 66 4% 0% 12
4 Physics, Mathematical 37 4% 0% 12
5 Computer Science, Software Engineering 23 2% 0% 8
6 Computer Science, Interdisciplinary Applications 20 3% 0% 9
7 Mechanics 14 3% 0% 11
8 Multidisciplinary Sciences 11 1% 0% 4
9 Physics, Multidisciplinary 4 3% 0% 11
10 Engineering, Petroleum 1 0% 0% 1

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 TECH MATHEMAT 93666 0% 100% 1
2 MATH NICOLAS O MEUMR 6139 46832 0% 50% 1
3 WESTERN AUSTRALIAN EXCELLENCE IND OPTIMIZAT 46830 1% 25% 2
4 ELEC COMM ENG 31221 0% 33% 1
5 HUMAN ECON 23415 0% 25% 1
6 PHYS MATH TECH 23415 0% 25% 1
7 TECH MATH 17023 1% 5% 4
8 POWER NUCL ENGN 13379 0% 14% 1
9 MATH INFORMAT CYBERNET 8513 0% 9% 1
10 AUTOMAT CONTROL ENGN 6609 2% 1% 7

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 COMPUTERS & MATHEMATICS WITH APPLICATIONS 11304 10% 0% 34
2 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS 8440 3% 1% 9
3 APPLIED MATHEMATICS AND COMPUTATION 5807 10% 0% 33
4 DYNAMIC SYSTEMS AND APPLICATIONS 5349 2% 1% 6
5 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 5318 4% 0% 13
6 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 4457 7% 0% 22
7 NONLINEAR OSCILLATIONS 4353 1% 2% 2
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 3469 9% 0% 28
9 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 2307 2% 0% 8
10 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS 1978 1% 1% 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 PARTIAL DIFFERENCE EQUATIONS 786469 7% 37% 23 Search PARTIAL+DIFFERENCE+EQUATIONS Search PARTIAL+DIFFERENCE+EQUATIONS
2 PARTIAL DIFFERENCE EQUATION 676719 5% 43% 17 Search PARTIAL+DIFFERENCE+EQUATION Search PARTIAL+DIFFERENCE+EQUATION
3 PARABOLIC DIFFERENTIAL EQUATION 539685 3% 52% 11 Search PARABOLIC+DIFFERENTIAL+EQUATION Search PARABOLIC+DIFFERENTIAL+EQUATION
4 CONTINUOUS DISTRIBUTED DEVIATING ARGUMENTS 468331 2% 100% 5 Search CONTINUOUS+DISTRIBUTED+DEVIATING+ARGUMENTS Search CONTINUOUS+DISTRIBUTED+DEVIATING+ARGUMENTS
5 DISCRETE SPATIOTEMPORAL SYSTEM 468331 2% 100% 5 Search DISCRETE+SPATIOTEMPORAL+SYSTEM Search DISCRETE+SPATIOTEMPORAL+SYSTEM
6 DISTRIBUTED DEVIATING ARGUMENTS 435895 3% 42% 11 Search DISTRIBUTED+DEVIATING+ARGUMENTS Search DISTRIBUTED+DEVIATING+ARGUMENTS
7 DELAY PARTIAL DIFFERENCE EQUATION 374665 1% 100% 4 Search DELAY+PARTIAL+DIFFERENCE+EQUATION Search DELAY+PARTIAL+DIFFERENCE+EQUATION
8 HYPERBOLIC DIFFERENTIAL EQUATION 315498 2% 42% 8 Search HYPERBOLIC+DIFFERENTIAL+EQUATION Search HYPERBOLIC+DIFFERENTIAL+EQUATION
9 FREQUENCY MEASURE 280999 1% 100% 3 Search FREQUENCY+MEASURE Search FREQUENCY+MEASURE
10 IMPULSIVE PARABOLIC EQUATIONS 280999 1% 100% 3 Search IMPULSIVE+PARABOLIC+EQUATIONS Search IMPULSIVE+PARABOLIC+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 ZHANG, BG , AGARWAL, RP , (2003) THE OSCILLATION AND STABILITY OF DELAY PARTIAL DIFFERENCE EQUATIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 45. ISSUE 6-9. P. 1253-1295 25 83% 12
2 PRAKASH, P , HARIKRISHNAN, S , (2012) OSCILLATION OF SOLUTIONS OF IMPULSIVE VECTOR HYPERBOLIC DIFFERENTIAL EQUATIONS WITH DELAYS.APPLICABLE ANALYSIS. VOL. 91. ISSUE 3. P. 459-473 13 93% 0
3 LI, WN , HAN, MA , (2007) OSCILLATION OF SOLUTIONS FOR CERTAIN IMPULSIVE VECTOR PARABOLIC DIFFERENTIAL EQUATIONS WITH DELAYS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 326. ISSUE 1. P. 363-371 12 100% 3
4 ZHANG, B , (2001) OSCILLATION OF DELAY PARTIAL DIFFERENCE EQUATIONS.PROGRESS IN NATURAL SCIENCE-MATERIALS INTERNATIONAL. VOL. 11. ISSUE 5. P. 321-330 14 93% 5
5 ZHANG, BG , ZHOU, Y , (2005) NONEXISTENCE OF MONOTONE SOLUTIONS OF NEUTRAL PARTIAL DIFFERENCE EQUATIONS.DYNAMIC SYSTEMS AND APPLICATIONS. VOL. 14. ISSUE 2. P. 225-243 11 100% 3
6 LIU, AP , LIU, T , ZOU, M , (2011) OSCILLATION OF NONLINEAR IMPULSIVE PARABOLIC DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 41. ISSUE 3. P. 833 -850 10 91% 1
7 LI, CF , ZHOU, Y , (2007) EXISTENCE OF BOUNDED AND UNBOUNDED NON-OSCILLATORY SOLUTIONS FOR PARTIAL DIFFERENCE EQUATIONS.MATHEMATICAL AND COMPUTER MODELLING. VOL. 45. ISSUE 7-8. P. 825-833 10 100% 2
8 LIU, YJ , ZHANG, JW , YAN, JR , (2015) OSCILLATION PROPERTIES FOR SYSTEMS OF HIGHER-ORDER PARTIAL DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS.DISCRETE DYNAMICS IN NATURE AND SOCIETY. VOL. . ISSUE . P. - 8 100% 0
9 LIU, A , XIAO, L , LIU, T , ZOU, M , (2007) OSCILLATION OF NONLINEAR IMPULSIVE HYPERBOLIC EQUATION WITH SEVERAL DELAYS.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 37. ISSUE 5. P. 1669-1684 10 91% 0
10 AGARWAL, RP , KARAKOC, F , ZAFER, A , (2012) OSCILLATION OF NONLINEAR IMPULSIVE PARTIAL DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLES.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 18. ISSUE 6. P. 1101-1114 8 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 1672 OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION
2 12946 RAZUMIKHIN TECHNIQUE//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS//IMPULSIVE DELAY DIFFERENTIAL EQUATION
3 21865 NONLINEAR ESTIMATES OF THE PERRON TYPE//INTERPOLATING OPERATORS//MONOTONE ITERATIONS
4 21230 CORRECT SOLVABILITY//POSITIVE EVANESCENT SOLUTIONS//SUBSOLUTION AND SUPERSOLUTION METHOD
5 25986 GENERALIZED SEPARABLE SOLUTIONS//FUNCTIONAL SEPARABLE SOLUTIONS//DELAY REACTION DIFFUSION EQUATIONS
6 21985 INTEGRAL INEQUALITY//TWO INDEPENDENT VARIABLES//RETARDED INTEGRAL INEQUALITY
7 22378 HEAVY BALL WITH FRICTION//KURDYKA LOJASIEWICZ INEQUALITY//DISSIPATIVE DYNAMICAL SYSTEM
8 23194 MULTIPLE DEVIATING ARGUMENTS//LIENARD SYSTEM//BOUNDEDNESS
9 12909 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
10 26584 CHAOTIFICATION//ANTICONTROL//ANTICONTROL OF CHAOS

Go to start page