Class information for:
Level 1: REGULARLY VARYING SOLUTIONS//SLOWLY VARYING SOLUTIONS//REGULARLY VARYING FUNCTIONS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
31232 156 13.4 21%



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
31232 1                   REGULARLY VARYING SOLUTIONS//SLOWLY VARYING SOLUTIONS//REGULARLY VARYING FUNCTIONS 156

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 REGULARLY VARYING SOLUTIONS authKW 1821889 7% 85% 11
2 SLOWLY VARYING SOLUTIONS authKW 1505691 6% 77% 10
3 REGULARLY VARYING FUNCTIONS authKW 851324 12% 23% 19
4 EMDEN FOWLER DIFFERENTIAL EQUATIONS authKW 626368 3% 80% 4
5 QUASILINEAR DIFFERENTIAL EQUATIONS authKW 447403 3% 57% 4
6 KNESER PROBLEM authKW 391481 1% 100% 2
7 KNESER SOLUTIONS authKW 391481 1% 100% 2
8 SECOND ORDER QUASILINEAR DIFFERENTIAL EQUATIONS authKW 391481 1% 100% 2
9 EMDEN FOWLER SYSTEM authKW 352330 2% 60% 3
10 ASYMPTOTIC BEHAVIOR OF SOLUTIONS authKW 336512 9% 12% 14

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 5699 81% 0% 127
2 Mathematics, Applied 4064 63% 0% 99
3 Physics, Mathematical 3 2% 0% 3
4 Mechanics 3 3% 0% 4
5 Multidisciplinary Sciences 1 1% 0% 1
6 Statistics & Probability 0 1% 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 ANAL SCI SCI 195740 1% 100% 1
2 MATH INFORMAT U DINI 97869 1% 50% 1
3 MATH ANAL NUMER MATH 55914 4% 5% 6
4 MATH ECON MECH 32620 1% 8% 2
5 SCI MATH 21500 13% 1% 20
6 ECON MANAGEMENT INFORMAT SCI 11512 1% 6% 1
7 MATH PHYS INFORMAT 7796 6% 0% 9
8 HIGHER MATH 6423 2% 1% 3
9 A RAZMADZE MATH 3192 1% 1% 2
10 MATH DESIGN ENGN 3155 1% 2% 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 NONLINEAR OSCILLATIONS 20479 2% 3% 3
2 ANALYSIS MATHEMATICA 12313 2% 2% 3
3 UKRAINIAN MATHEMATICAL JOURNAL 9823 4% 1% 7
4 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 5816 3% 1% 5
5 DIFFERENTIAL EQUATIONS 5238 6% 0% 10
6 ANNALI DI MATEMATICA PURA ED APPLICATA 4912 4% 0% 6
7 HIROSHIMA MATHEMATICAL JOURNAL 4322 1% 1% 2
8 CZECHOSLOVAK MATHEMATICAL JOURNAL 4268 4% 0% 7
9 GEORGIAN MATHEMATICAL JOURNAL 3750 2% 1% 3
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 3354 12% 0% 19

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 REGULARLY VARYING SOLUTIONS 1821889 7% 85% 11 Search REGULARLY+VARYING+SOLUTIONS Search REGULARLY+VARYING+SOLUTIONS
2 SLOWLY VARYING SOLUTIONS 1505691 6% 77% 10 Search SLOWLY+VARYING+SOLUTIONS Search SLOWLY+VARYING+SOLUTIONS
3 REGULARLY VARYING FUNCTIONS 851324 12% 23% 19 Search REGULARLY+VARYING+FUNCTIONS Search REGULARLY+VARYING+FUNCTIONS
4 EMDEN FOWLER DIFFERENTIAL EQUATIONS 626368 3% 80% 4 Search EMDEN+FOWLER+DIFFERENTIAL+EQUATIONS Search EMDEN+FOWLER+DIFFERENTIAL+EQUATIONS
5 QUASILINEAR DIFFERENTIAL EQUATIONS 447403 3% 57% 4 Search QUASILINEAR+DIFFERENTIAL+EQUATIONS Search QUASILINEAR+DIFFERENTIAL+EQUATIONS
6 KNESER PROBLEM 391481 1% 100% 2 Search KNESER+PROBLEM Search KNESER+PROBLEM
7 KNESER SOLUTIONS 391481 1% 100% 2 Search KNESER+SOLUTIONS Search KNESER+SOLUTIONS
8 SECOND ORDER QUASILINEAR DIFFERENTIAL EQUATIONS 391481 1% 100% 2 Search SECOND+ORDER+QUASILINEAR+DIFFERENTIAL+EQUATIONS Search SECOND+ORDER+QUASILINEAR+DIFFERENTIAL+EQUATIONS
9 EMDEN FOWLER SYSTEM 352330 2% 60% 3 Search EMDEN+FOWLER+SYSTEM Search EMDEN+FOWLER+SYSTEM
10 ASYMPTOTIC BEHAVIOR OF SOLUTIONS 336512 9% 12% 14 Search ASYMPTOTIC+BEHAVIOR+OF+SOLUTIONS Search ASYMPTOTIC+BEHAVIOR+OF+SOLUTIONS

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 TRAJKOVIC, AB , MANOJLOVIC, JV , (2016) ASYMPTOTIC BEHAVIOR OF INTERMEDIATE SOLUTIONS OF FOURTH-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH REGULARLY VARYING COEFFICIENTS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 16 94% 0
2 MATUCCI, S , REHAK, P , (2015) EXTREMAL SOLUTIONS TO A SYSTEM OF N NONLINEAR DIFFERENTIAL EQUATIONS AND REGULARLY VARYING FUNCTIONS.MATHEMATISCHE NACHRICHTEN. VOL. 288. ISSUE 11-12. P. 1413 -1430 10 77% 4
3 MILOSEVIC, J , MANOJLOVIC, JV , (2015) ASYMPTOTIC ANALYSIS OF FOURTH ORDER QUASILINEAR DIFFERENTIAL EQUATIONS IN THE FRAMEWORK OF REGULAR VARIATION.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 19. ISSUE 5. P. 1415 -1456 8 100% 0
4 MILOSEVIC, J , (2015) ASYMPTOTIC BEHAVIOR OF INCREASING POSITIVE SOLUTIONS OF SECOND ORDER QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS IN THE FRAMEWORK OF REGULAR VARIATION.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 8 89% 0
5 MATUCCI, S , REHAK, P , (2014) ASYMPTOTICS OF DECREASING SOLUTIONS OF COUPLED P-LAPLACIAN SYSTEMS IN THE FRAMEWORK OF REGULAR VARIATION.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 193. ISSUE 3. P. 837-858 9 75% 8
6 JAROS, J , KUSANO, T , (2014) ON STRONGLY MONOTONE SOLUTIONS OF A CLASS OF CYCLIC SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 417. ISSUE 2. P. 996-1017 7 100% 3
7 JAROS, J , TAKASI, K , TANIGAWA, T , (2016) REGULARLY VARYING SOLUTIONS WITH INTERMEDIATE GROWTH FOR CYCLIC DIFFERENTIAL SYSTEMS OF SECOND ORDER.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 9 75% 0
8 TAKASI, K , MANOJLOVIC, JV , MILOSEVIC, J , (2014) INTERMEDIATE SOLUTIONS OF FOURTH ORDER QUASILINEAR DIFFERENTIAL EQUATIONS IN THE FRAMEWORK OF REGULAR VARIATION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 248. ISSUE . P. 246 -272 7 100% 0
9 OZBEKLER, A , (2016) ON THE OSCILLATION OF VOLTERRA INTEGRAL EQUATIONS WITH POSITIVE AND NEGATIVE NONLINEARITIES.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 39. ISSUE 6. P. 1388 -1394 6 100% 0
10 CHATZARAKIS, GE , TAKASI, K , STAVROULAKIS, IP , (2014) PRECISE ASYMPTOTIC BEHAVIOR OF STRONGLY DECREASING SOLUTIONS OF FIRST-ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 6 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 1672 OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION
2 23134 TIME SINGULARITIES//CONSTANT ASTIGMATISM EQUATION//TIME SINGULARITY OF THE FIRST KIND
3 21230 CORRECT SOLVABILITY//POSITIVE EVANESCENT SOLUTIONS//SUBSOLUTION AND SUPERSOLUTION METHOD
4 23320 LYAPUNOV TYPE INEQUALITY//LYAPUNOV INEQUALITY//OPIALS INEQUALITY
5 31934 RAPIDLY VARYING SEQUENCE//RAPIDLY VARYING FUNCTION//REGULARLY VARYING SEQUENCE
6 12909 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
7 32093 SYNTHETIC DIFFERENTIAL GEOMETRY//C INFINITY RING//GLOBAL EQUIVALENCE
8 23194 MULTIPLE DEVIATING ARGUMENTS//LIENARD SYSTEM//BOUNDEDNESS
9 23002 PICONE TYPE INEQUALITY//PICONE IDENTITY//STURMIAN COMPARISON THEOREM
10 11417 LARGE SOLUTIONS//BOUNDARY BLOW UP//KARAMATA REGULAR VARIATION THEORY

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