Class information for:
Level 1: PICONE TYPE INEQUALITY//PICONE IDENTITY//STURMIAN COMPARISON THEOREM

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
23002 362 15.6 29%



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
905 2             POSITIVE SOLUTION//PERIODIC SOLUTION//FIXED POINT INDEX 11262
23002 1                   PICONE TYPE INEQUALITY//PICONE IDENTITY//STURMIAN COMPARISON THEOREM 362

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 PICONE TYPE INEQUALITY authKW 590458 2% 100% 7
2 PICONE IDENTITY authKW 341612 2% 45% 9
3 STURMIAN COMPARISON THEOREM authKW 275539 2% 47% 7
4 RIGHT DISFOCALITY authKW 253053 1% 100% 3
5 RIGHT FOCAL BOUNDARY VALUE PROBLEM authKW 253053 1% 100% 3
6 STURM PICONE THEOREM authKW 253053 1% 100% 3
7 ABEL GONTSCHAROFF INTERPOLATION authKW 168702 1% 100% 2
8 ACROSS POINTS OF RESONANCE authKW 168702 1% 100% 2
9 POINTWISE AND UNIFORM ERROR BOUNDS authKW 168702 1% 100% 2
10 VARIATIONAL LEMMA authKW 168702 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, Applied 13318 75% 0% 272
2 Mathematics 8758 67% 0% 241
3 Computer Science, Software Engineering 20 2% 0% 8
4 Computer Science, Interdisciplinary Applications 12 2% 0% 8
5 Operations Research & Management Science 3 1% 0% 4
6 Mathematics, Interdisciplinary Applications 3 1% 0% 4
7 Automation & Control Systems 1 1% 0% 3
8 Audiology & Speech-Language Pathology 0 0% 0% 1
9 Mechanics -0 1% 0% 4
10 Statistics & Probability -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 VISHWAKARMA GOVT ENGN COMPLEX 168702 1% 100% 2
2 FUNDAMENTAL STUDIES 3031 1% 1% 3
3 MATH ANAL NUMER MATH 2674 1% 2% 2
4 ELE ON INFORMAT 2479 0% 3% 1
5 IND MATH GRP 2278 0% 3% 1
6 MATH 1324 23% 0% 84
7 MATH SCI TECHNOL 1143 1% 0% 3
8 MATH ANAL 835 1% 0% 4
9 NANKAI MATH 469 0% 1% 1
10 ADV MATH PHYS 292 0% 0% 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 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 13977 16% 0% 59
2 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 7928 5% 1% 17
3 JOURNAL OF DIFFERENTIAL EQUATIONS 7900 7% 0% 26
4 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 7401 5% 0% 18
5 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 5496 4% 0% 14
6 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 5078 7% 0% 27
7 DYNAMIC SYSTEMS AND APPLICATIONS 3343 1% 1% 5
8 JOURNAL OF APPROXIMATION THEORY 2973 3% 0% 11
9 COMPUTERS & MATHEMATICS WITH APPLICATIONS 2834 5% 0% 18
10 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 2501 1% 1% 5

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 PICONE TYPE INEQUALITY 590458 2% 100% 7 Search PICONE+TYPE+INEQUALITY Search PICONE+TYPE+INEQUALITY
2 PICONE IDENTITY 341612 2% 45% 9 Search PICONE+IDENTITY Search PICONE+IDENTITY
3 STURMIAN COMPARISON THEOREM 275539 2% 47% 7 Search STURMIAN+COMPARISON+THEOREM Search STURMIAN+COMPARISON+THEOREM
4 RIGHT DISFOCALITY 253053 1% 100% 3 Search RIGHT+DISFOCALITY Search RIGHT+DISFOCALITY
5 RIGHT FOCAL BOUNDARY VALUE PROBLEM 253053 1% 100% 3 Search RIGHT+FOCAL+BOUNDARY+VALUE+PROBLEM Search RIGHT+FOCAL+BOUNDARY+VALUE+PROBLEM
6 STURM PICONE THEOREM 253053 1% 100% 3 Search STURM+PICONE+THEOREM Search STURM+PICONE+THEOREM
7 ABEL GONTSCHAROFF INTERPOLATION 168702 1% 100% 2 Search ABEL+GONTSCHAROFF+INTERPOLATION Search ABEL+GONTSCHAROFF+INTERPOLATION
8 ACROSS POINTS OF RESONANCE 168702 1% 100% 2 Search ACROSS+POINTS+OF+RESONANCE Search ACROSS+POINTS+OF+RESONANCE
9 POINTWISE AND UNIFORM ERROR BOUNDS 168702 1% 100% 2 Search POINTWISE+AND+UNIFORM+ERROR+BOUNDS Search POINTWISE+AND+UNIFORM+ERROR+BOUNDS
10 VARIATIONAL LEMMA 168702 1% 100% 2 Search VARIATIONAL+LEMMA Search VARIATIONAL+LEMMA

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 ELOE, P , HENDERSON, J , (2011) UNIQUENESS IMPLIES EXISTENCE AND UNIQUENESS CONDITIONS FOR A CLASS OF (K PLUS J)-POINT BOUNDARY VALUE PROBLEMS FOR NTH ORDER DIFFERENTIAL EQUATIONS.MATHEMATISCHE NACHRICHTEN. VOL. 284. ISSUE 2-3. P. 229-239 14 100% 3
2 ELOE, PW , HENDERSON, J , KHAN, RA , (2012) UNIQUENESS IMPLIES EXISTENCE AND UNIQUENESS CONDITIONS FOR A CLASS OF (K PLUS J)-POINT BOUNDARY VALUE PROBLEMS FOR N-TH ORDER DIFFERENTIAL EQUATIONS.CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES. VOL. 55. ISSUE 2. P. 285-296 13 100% 1
3 CHANG, XJ , HUANG, QD , (2009) TWO-POINT BOUNDARY VALUE PROBLEMS FOR DUFFING EQUATIONS ACROSS RESONANCE.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 140. ISSUE 3. P. 419 -430 12 100% 2
4 TIRYAKI, A , (2014) STURM-PICONE TYPE THEOREMS FOR SECOND-ORDER NONLINEAR ELLIPTIC DIFFERENTIAL EQUATIONS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 10 100% 0
5 TIRYAKI, A , SAHINER, S , MISIRLI, E , (2016) STURM COMPARISON THEOREMS FOR SOME ELLIPTIC TYPE EQUATIONS VIA PICONE-TYPE INEQUALITIES.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 10 91% 0
6 BAXTER, LH , LYONS, J , NEUGEBAUER, JT , (2016) DIFFERENTIATING SOLUTIONS OF A BOUNDARY VALUE PROBLEM ON A TIME SCALE.BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 94. ISSUE 1. P. 101 -109 9 100% 0
7 HENDERSON, J , (2011) EXISTENCE AND UNIQUENESS OF SOLUTIONS OF (K+2)-POINT NONLOCAL BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 74. ISSUE 7. P. 2576-2584 9 100% 7
8 AGARWAL, RP , LALLI, BS , (1993) DISCRETE POLYNOMIAL INTERPOLATION, GREEN-FUNCTIONS, MAXIMUM-PRINCIPLES, ERROR-BOUNDS AND BOUNDARY-VALUE-PROBLEMS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 25. ISSUE 8. P. 3-39 17 89% 13
9 LYONS, JW , (2011) DIFFERENTIATION OF SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS WITH RESPECT TO BOUNDARY DATA.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 51. P. 1-11 11 79% 2
10 ELOE, PW , HENDERSON, J , (2007) UNIQUENESS IMPLIES EXISTENCE AND UNIQUENESS CONDITIONS FOR NONLOCAL BOUNDARY VALUE PROBLEMS FOR NTH ORDER DIFFERENTIAL EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 331. ISSUE 1. P. 240-247 9 100% 12

Classes with closest relation at Level 1



Rank Class id link
1 561 POSITIVE SOLUTION//CONE//FIXED POINT INDEX
2 13872 HOMOCLINIC SOLUTIONS//DISCRETE VARIATIONAL THEORY//MODERN BUSINESS MANAGEMENT
3 23320 LYAPUNOV TYPE INEQUALITY//LYAPUNOV INEQUALITY//OPIALS INEQUALITY
4 21865 NONLINEAR ESTIMATES OF THE PERRON TYPE//INTERPOLATING OPERATORS//MONOTONE ITERATIONS
5 17000 NON POLYNOMIAL SPLINE//SINGULAR TWO POINT BOUNDARY VALUE PROBLEMS//END CONDITIONS
6 32188 SHEPARD OPERATOR//COMBINED SHEPARD OPERATORS//SHEPARD METHOD
7 9809 MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//PERIODIC BOUNDARY VALUE PROBLEM
8 1672 OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION
9 28057 FUNCTIONAL DIFFERENTIAL EQUATION OF HYPERBOLIC TYPE//SCI FUNCT DIFFERENTIAL EQUAT//LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
10 8907 CONJOINED BASIS//LIMIT POINT CASE//TRANSMISSION CONDITIONS

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