Class information for:
Level 1: INVERSE SPECTRAL PROBLEM//INVERSE NODAL PROBLEM//STURM LIOUVILLE OPERATOR

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7223 1391 20.7 35%


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
549 3       MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE 18286
1949 2             STURM LIOUVILLE OPERATOR//STURM LIOUVILLE PROBLEM//INVERSE SPECTRAL PROBLEM 5724
7223 1                   INVERSE SPECTRAL PROBLEM//INVERSE NODAL PROBLEM//STURM LIOUVILLE OPERATOR 1391

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 INVERSE SPECTRAL PROBLEM authKW 1315414 7% 62% 97
2 INVERSE NODAL PROBLEM authKW 878538 3% 98% 41
3 STURM LIOUVILLE OPERATOR authKW 656671 5% 40% 75
4 SPECTRAL SINGULARITIES authKW 395096 2% 75% 24
5 DIFFERENTIAL PENCILS authKW 329256 1% 100% 15
6 WEYL FUNCTION authKW 298727 3% 39% 35
7 METHOD OF SPECTRAL MAPPINGS authKW 285356 1% 100% 13
8 INVERSE SPECTRAL THEORY authKW 229402 1% 58% 18
9 DISCONTINUOUS CONDITION authKW 219504 1% 100% 10
10 HALF INVERSE PROBLEM authKW 219504 1% 100% 10

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 27807 61% 0% 844
2 Mathematics, Applied 20878 49% 0% 675
3 Physics, Mathematical 8253 22% 0% 304
4 Mathematics, Interdisciplinary Applications 83 2% 0% 31
5 Engineering, General 38 2% 0% 25
6 Multidisciplinary Sciences 21 1% 0% 13
7 Physics, Multidisciplinary 20 4% 0% 50
8 Mechanics 0 1% 0% 17
9 Materials Science, Characterization, Testing -0 0% 0% 2
10 Computer Science, Software Engineering -0 0% 0% 6

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 BRANCH HYDROACOUST 189710 1% 79% 11
2 EDPPM 29266 0% 67% 2
3 MATH SCI GRP 23936 0% 18% 6
4 AREA ANAL MATEMAT LICACIONES 21950 0% 100% 1
5 CHAIR ELASTIC THEORY 21950 0% 100% 1
6 FAT CHEM MET 21950 0% 100% 1
7 INVEST MATEMAT LICADAS SITEMAS 21950 0% 100% 1
8 KYRPEHIR ARTS SCI 21950 0% 100% 1
9 MATEMAT MECH 21950 0% 100% 1
10 MATH JEAN LERAY SCI TECH 21950 0% 100% 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 INVERSE PROBLEMS 103610 9% 4% 127
2 INTEGRAL EQUATIONS AND OPERATOR THEORY 17273 3% 2% 42
3 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 14718 1% 4% 16
4 OPERATORS AND MATRICES 11849 1% 3% 16
5 INVERSE PROBLEMS IN SCIENCE AND ENGINEERING 11735 2% 3% 21
6 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 9196 2% 1% 33
7 DIFFERENTIAL EQUATIONS 8891 3% 1% 39
8 BOUNDARY VALUE PROBLEMS 8365 2% 2% 24
9 MATHEMATICAL NOTES 7346 3% 1% 41
10 ANALYSIS AND MATHEMATICAL PHYSICS 7311 0% 11% 3

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 INVERSE SPECTRAL PROBLEM 1315414 7% 62% 97 Search INVERSE+SPECTRAL+PROBLEM Search INVERSE+SPECTRAL+PROBLEM
2 INVERSE NODAL PROBLEM 878538 3% 98% 41 Search INVERSE+NODAL+PROBLEM Search INVERSE+NODAL+PROBLEM
3 STURM LIOUVILLE OPERATOR 656671 5% 40% 75 Search STURM+LIOUVILLE+OPERATOR Search STURM+LIOUVILLE+OPERATOR
4 SPECTRAL SINGULARITIES 395096 2% 75% 24 Search SPECTRAL+SINGULARITIES Search SPECTRAL+SINGULARITIES
5 DIFFERENTIAL PENCILS 329256 1% 100% 15 Search DIFFERENTIAL+PENCILS Search DIFFERENTIAL+PENCILS
6 WEYL FUNCTION 298727 3% 39% 35 Search WEYL+FUNCTION Search WEYL+FUNCTION
7 METHOD OF SPECTRAL MAPPINGS 285356 1% 100% 13 Search METHOD+OF+SPECTRAL+MAPPINGS Search METHOD+OF+SPECTRAL+MAPPINGS
8 INVERSE SPECTRAL THEORY 229402 1% 58% 18 Search INVERSE+SPECTRAL+THEORY Search INVERSE+SPECTRAL+THEORY
9 DISCONTINUOUS CONDITION 219504 1% 100% 10 Search DISCONTINUOUS+CONDITION Search DISCONTINUOUS+CONDITION
10 HALF INVERSE PROBLEM 219504 1% 100% 10 Search HALF+INVERSE+PROBLEM Search HALF+INVERSE+PROBLEM

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 WANG, YP , YURKO, VA , (2016) ON THE INVERSE NODAL PROBLEMS FOR DISCONTINUOUS STURM-LIOUVILLE OPERATORS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 260. ISSUE 5. P. 4086 -4109 30 100% 0
2 ECKHARDT, J , GESZTESY, F , NICHOLS, R , TESCHL, G , (2013) INVERSE SPECTRAL THEORY FOR STURM-LIOUVILLE OPERATORS WITH DISTRIBUTIONAL POTENTIALS.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 88. ISSUE . P. 801-828 36 84% 1
3 YANG, CF , (2014) ON THE QUASINODAL MAP FOR THE DIFFUSION OPERATOR.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 266. ISSUE 7. P. 4236-4265 30 94% 0
4 YURKO, VA , (2016) INVERSE SPECTRAL PROBLEMS FOR DIFFERENTIAL OPERATORS ON SPATIAL NETWORKS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 71. ISSUE 3. P. 539 -584 30 83% 0
5 SAKHNOVICH, A , (2016) INVERSE PROBLEMS FOR SELF-ADJOINT DIRAC SYSTEMS: EXPLICIT SOLUTIONS AND STABILITY OF THE PROCEDURE.OPERATORS AND MATRICES. VOL. 10. ISSUE 4. P. 997 -1008 29 85% 0
6 YANG, CF , YANG, XP , (2011) INVERSE NODAL PROBLEMS FOR THE STURM-LIOUVILLE EQUATION WITH POLYNOMIALLY DEPENDENT ON THE EIGENPARAMETER.INVERSE PROBLEMS IN SCIENCE AND ENGINEERING. VOL. 19. ISSUE 7. P. 951-961 26 100% 6
7 WANG, YP , (2015) INVERSE PROBLEMS FOR DISCONTINUOUS STURM- LIOUVILLE OPERATORS WITH MIXED SPECTRAL DATA.INVERSE PROBLEMS IN SCIENCE AND ENGINEERING. VOL. 23. ISSUE 7. P. 1180 -1198 25 96% 0
8 XU, XC , YANG, CF , (2017) INVERSE SPECTRAL PROBLEMS FOR THE STURM-LIOUVILLE OPERATOR WITH DISCONTINUITY.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 262. ISSUE 3. P. 3093 -3106 23 96% 0
9 HRYNIV, R , PRONSKA, N , (2012) INVERSE SPECTRAL PROBLEMS FOR ENERGY-DEPENDENT STURM-LIOUVILLE EQUATIONS.INVERSE PROBLEMS. VOL. 28. ISSUE 8. P. - 24 96% 11
10 ECKHARDT, J , GESZTESY, F , NICHOLS, R , TESCHL, G , (2014) SUPERSYMMETRY AND SCHRODINGER-TYPE OPERATORS WITH DISTRIBUTIONAL MATRIX-VALUED POTENTIALS.JOURNAL OF SPECTRAL THEORY. VOL. 4. ISSUE 4. P. 715 -768 41 52% 7

Classes with closest relation at Level 1


Rank Class id link
1 25276 CP METHODS//STURM LIOUVILLE PROBLEM//ASYMPTOTIC CORRECTION
2 8907 CONJOINED BASIS//LIMIT POINT CASE//TRANSMISSION CONDITIONS
3 12972 KREIN SPACE//DEFINITIZABLE OPERATOR//ANAL TECH MATH
4 13977 HILL OPERATOR//DIFFERENTIAL EQUATIONS//REGULAR BOUNDARY CONDITIONS
5 31773 ASTIGMATIC BEAM//LENSGUIDES//OAO LOMO
6 31353 MAGNITOGORSK STATE PEDAG//RIESZ PROPERTY//SINE TYPE FUNCTION
7 35787 OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//AFFINELY SELF SIMILAR FUNCTION
8 31383 AEROELASTIC MODES//ROOT VECTORS//CONVOLUTION INTEGRAL OPERATOR
9 18752 GLOBAL RELATION//RIEMANN HILBERT PROBLEM//RIEMANN HILBERT PROBLEMS
10 7203 DOPPLER//TRAPPED MODES//POINT INTERACTIONS

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