Class information for:
Level 2: STURM LIOUVILLE PROBLEM//STURM LIOUVILLE OPERATOR//INVERSE SPECTRAL PROBLEM

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
468 3       PHYSICS, MATHEMATICAL//MATHEMATICS//JOURNAL OF MATHEMATICAL PHYSICS 25817
1864 2             STURM LIOUVILLE PROBLEM//STURM LIOUVILLE OPERATOR//INVERSE SPECTRAL PROBLEM 6417
5435 1                   INVERSE NODAL PROBLEM//INVERSE SPECTRAL PROBLEM//STURM LIOUVILLE OPERATOR 1655
7700 1                   POINT INTERACTIONS//QUANTUM GRAPHS//SELF ADJOINT EXTENSION 1362
13292 1                   CONJOINED BASIS//LIMIT POINT CASE//DISCRETE SYMPLECTIC SYSTEM 877
15820 1                   HILL OPERATOR//REGULAR BOUNDARY CONDITIONS//METHOD OF SIMILAR OPERATORS 717
17753 1                   KREIN SPACE//DEFINITIZABLE OPERATOR//J SELF ADJOINT OPERATOR 612
25176 1                   TWO PARAMETER EIGENVALUE PROBLEM//MULTIPARAMETER EIGENVALUE PROBLEM//QUADRATIC TWO PARAMETER EIGENVALUE PROBLEM 312
25965 1                   SPECTRAL PARAMETER POWER SERIES//PSEUDOANALYTIC FUNCTION//CP METHODS 288
28309 1                   LAVRENTEV BITSADZE EQUATION//FRANKL PROBLEM//BASIS PROPERTY 228
28636 1                   AEROELASTIC MODES//ROOT VECTORS//CONVOLUTION INTEGRAL OPERATOR 221
32960 1                   OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//STRATIFIED SET 145

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 STURM LIOUVILLE PROBLEM authKW 431874 3% 50% 177
2 STURM LIOUVILLE OPERATOR authKW 405992 2% 65% 127
3 INVERSE SPECTRAL PROBLEM authKW 388530 2% 68% 116
4 WEYL FUNCTION authKW 259682 1% 77% 69
5 INVERSE NODAL PROBLEM authKW 216124 1% 98% 45
6 SELF ADJOINT EXTENSION authKW 212901 1% 53% 82
7 QUANTUM GRAPHS authKW 163598 1% 56% 60
8 POINT INTERACTIONS authKW 151504 1% 58% 53
9 TRANSMISSION CONDITIONS authKW 144955 1% 52% 57
10 EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS authKW 137629 0% 97% 29

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 136846 63% 1% 4028
2 Mathematics, Applied 61975 39% 1% 2518
3 Physics, Mathematical 16909 15% 0% 950
4 Multidisciplinary Sciences 857 2% 0% 144
5 Physics, Multidisciplinary 802 7% 0% 437
6 Mathematics, Interdisciplinary Applications 65 1% 0% 78
7 Mechanics 36 2% 0% 125
8 Engineering, General 17 1% 0% 61
9 COMPUTER APPLICATIONS & CYBERNETICS 4 0% 0% 2
10 Automation & Control Systems 2 1% 0% 35

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DOPPLER MATH PHYS PL MATH 86203 1% 53% 33
2 DOPPLER 83721 1% 37% 46
3 ANAL TECH MATH 62513 0% 58% 22
4 BRANCH HYDROACOUST 42428 0% 79% 11
5 MATH 40383 30% 0% 1941
6 FB MATH 08 22090 0% 75% 6
7 MATH MECH 21344 2% 3% 127
8 LMPA JOSEPH LIOUVILLE ULCO 20455 0% 83% 5
9 DISAT SEZ MATEMAT 19638 0% 100% 4
10 PHYS MATH MATH PL 19638 0% 100% 4

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIFFERENTIAL EQUATIONS 131659 5% 8% 323
2 INTEGRAL EQUATIONS AND OPERATOR THEORY 75022 3% 8% 187
3 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 72470 3% 8% 197
4 MATHEMATISCHE NACHRICHTEN 50116 3% 5% 206
5 MATHEMATICAL NOTES 42051 3% 4% 210
6 DOKLADY MATHEMATICS 31458 2% 5% 143
7 INVERSE PROBLEMS 27876 2% 4% 142
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 24612 5% 2% 331
9 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 22541 1% 5% 90
10 OPERATORS AND MATRICES 18372 1% 9% 43

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 STURM LIOUVILLE PROBLEM 431874 3% 50% 177 Search STURM+LIOUVILLE+PROBLEM Search STURM+LIOUVILLE+PROBLEM
2 STURM LIOUVILLE OPERATOR 405992 2% 65% 127 Search STURM+LIOUVILLE+OPERATOR Search STURM+LIOUVILLE+OPERATOR
3 INVERSE SPECTRAL PROBLEM 388530 2% 68% 116 Search INVERSE+SPECTRAL+PROBLEM Search INVERSE+SPECTRAL+PROBLEM
4 WEYL FUNCTION 259682 1% 77% 69 Search WEYL+FUNCTION Search WEYL+FUNCTION
5 INVERSE NODAL PROBLEM 216124 1% 98% 45 Search INVERSE+NODAL+PROBLEM Search INVERSE+NODAL+PROBLEM
6 SELF ADJOINT EXTENSION 212901 1% 53% 82 Search SELF+ADJOINT+EXTENSION Search SELF+ADJOINT+EXTENSION
7 QUANTUM GRAPHS 163598 1% 56% 60 Search QUANTUM+GRAPHS Search QUANTUM+GRAPHS
8 POINT INTERACTIONS 151504 1% 58% 53 Search POINT+INTERACTIONS Search POINT+INTERACTIONS
9 TRANSMISSION CONDITIONS 144955 1% 52% 57 Search TRANSMISSION+CONDITIONS Search TRANSMISSION+CONDITIONS
10 EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS 137629 0% 97% 29 Search EIGENPARAMETER+DEPENDENT+BOUNDARY+CONDITIONS Search EIGENPARAMETER+DEPENDENT+BOUNDARY+CONDITIONS

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.

Classes with closest relation at Level 2


rank cluster_id2 link
1 1257 ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//RANDOM SCHRODINGER OPERATORS
2 1402 HOMOGENIZATION//TWO SCALE CONVERGENCE//MATHEMATICS
3 2496 INVERSE PROBLEMS//INVERSE SCATTERING//TRANSMISSION EIGENVALUES
4 1712 CARLEMAN ESTIMATES//NULL CONTROLLABILITY//GENERAL DECAY
5 1723 OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION
6 1071 NIKIFOROV UVAROV METHOD//DIRAC EQUATION//SUPERSYMMETRIC QUANTUM MECHANICS
7 2680 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC
8 1123 COMPOSITION OPERATOR//TOEPLITZ OPERATOR//BERGMAN SPACE
9 3166 ANALYTIC TORSION//NONCOMMUTATIVE RESIDUE//ETA INVARIANT
10 1067 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//LINEAR ALGEBRA AND ITS APPLICATIONS//MATRIX EQUATION

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