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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1949 5724 18.6 30%


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
8907 1                   CONJOINED BASIS//LIMIT POINT CASE//TRANSMISSION CONDITIONS 1206
12972 1                   KREIN SPACE//DEFINITIZABLE OPERATOR//ANAL TECH MATH 868
13977 1                   HILL OPERATOR//DIFFERENTIAL EQUATIONS//REGULAR BOUNDARY CONDITIONS 801
21417 1                   WENTZELL BOUNDARY CONDITIONS//DYNAMICAL BOUNDARY CONDITIONS//FR CNRS MATH 2956 419
25276 1                   CP METHODS//STURM LIOUVILLE PROBLEM//ASYMPTOTIC CORRECTION 286
25628 1                   MULTIPARAMETER EIGENVALUE PROBLEM//TWO PARAMETER//NONLINEAR STURM LIOUVILLE 276
31353 1                   MAGNITOGORSK STATE PEDAG//RIESZ PROPERTY//SINE TYPE FUNCTION 154
31383 1                   AEROELASTIC MODES//ROOT VECTORS//CONVOLUTION INTEGRAL OPERATOR 153
35787 1                   OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//AFFINELY SELF SIMILAR FUNCTION 92
36573 1                   HAMILTONIAN SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS//NONLINEAR SELF ADJOINT EIGENVALUE PROBLEM//REDUNDANT CONDITIONS 78

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 STURM LIOUVILLE OPERATOR authKW 436062 2% 66% 124
2 STURM LIOUVILLE PROBLEM authKW 417987 3% 48% 164
3 INVERSE SPECTRAL PROBLEM authKW 388811 2% 68% 107
4 WEYL FUNCTION authKW 265949 1% 74% 67
5 INVERSE NODAL PROBLEM authKW 213433 1% 98% 41
6 DIFFERENTIAL EQUATIONS journal 156329 6% 9% 331
7 MATHEMATICS WoSSC 150076 69% 1% 3963
8 EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS authKW 144165 0% 97% 28
9 DEFICIENCY INDEX authKW 126684 0% 85% 28
10 TRANSMISSION CONDITIONS authKW 117750 1% 47% 47

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 150076 69% 1% 3963
2 Mathematics, Applied 65889 43% 1% 2443
3 Physics, Mathematical 6270 10% 0% 562
4 Multidisciplinary Sciences 1178 3% 0% 153
5 Mathematics, Interdisciplinary Applications 107 1% 0% 84
6 Mechanics 17 2% 0% 98
7 Engineering, General 11 1% 0% 51
8 Automation & Control Systems 7 1% 0% 37
9 Computer Science, Interdisciplinary Applications 4 1% 0% 52
10 Physics, Multidisciplinary 2 2% 0% 125

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 TECH MATH 80815 0% 63% 24
2 BRANCH HYDROACOUST 46085 0% 79% 11
3 MATH 36334 30% 0% 1726
4 FR CNRS MATH 2956 22218 0% 83% 5
5 LMPA JOSEPH LIOUVILLE ULCO 22218 0% 83% 5
6 ANAL SCI COMP 22075 1% 9% 44
7 MATH MECH 21967 2% 3% 121
8 FB MATH 08 16661 0% 63% 5
9 MATH MA 6 4 15998 0% 100% 3
10 SEZ INGN 14809 0% 56% 5

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 DIFFERENTIAL EQUATIONS 156329 6% 9% 331
2 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 79821 3% 8% 197
3 INTEGRAL EQUATIONS AND OPERATOR THEORY 75406 3% 8% 178
4 MATHEMATISCHE NACHRICHTEN 50362 3% 5% 195
5 MATHEMATICAL NOTES 41703 3% 4% 198
6 DOKLADY MATHEMATICS 39540 3% 5% 151
7 INVERSE PROBLEMS 32162 3% 4% 144
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 23524 5% 1% 307
9 JOURNAL OF DIFFERENTIAL EQUATIONS 21920 3% 2% 173
10 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 21102 1% 5% 83

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 STURM LIOUVILLE OPERATOR 436062 2% 66% 124 Search STURM+LIOUVILLE+OPERATOR Search STURM+LIOUVILLE+OPERATOR
2 STURM LIOUVILLE PROBLEM 417987 3% 48% 164 Search STURM+LIOUVILLE+PROBLEM Search STURM+LIOUVILLE+PROBLEM
3 INVERSE SPECTRAL PROBLEM 388811 2% 68% 107 Search INVERSE+SPECTRAL+PROBLEM Search INVERSE+SPECTRAL+PROBLEM
4 WEYL FUNCTION 265949 1% 74% 67 Search WEYL+FUNCTION Search WEYL+FUNCTION
5 INVERSE NODAL PROBLEM 213433 1% 98% 41 Search INVERSE+NODAL+PROBLEM Search INVERSE+NODAL+PROBLEM
6 EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS 144165 0% 97% 28 Search EIGENPARAMETER+DEPENDENT+BOUNDARY+CONDITIONS Search EIGENPARAMETER+DEPENDENT+BOUNDARY+CONDITIONS
7 DEFICIENCY INDEX 126684 0% 85% 28 Search DEFICIENCY+INDEX Search DEFICIENCY+INDEX
8 TRANSMISSION CONDITIONS 117750 1% 47% 47 Search TRANSMISSION+CONDITIONS Search TRANSMISSION+CONDITIONS
9 FRIEDRICHS EXTENSION 114328 0% 79% 27 Search FRIEDRICHS+EXTENSION Search FRIEDRICHS+EXTENSION
10 SPECTRAL SINGULARITIES 112644 0% 81% 26 Search SPECTRAL+SINGULARITIES Search SPECTRAL+SINGULARITIES

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 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 64 81% 7
2 ZETTL, A , SUN, J , (2015) SURVEY ARTICLE: SELF-ADJOINT ORDINARY DIFFERENTIAL OPERATORS AND THEIR SPECTRUM.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 45. ISSUE 3. P. 763 -886 35 100% 0
3 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 38 88% 1
4 GESZTESY, F , TKACHENKO, V , (2012) A SCHAUDER AND RIESZ BASIS CRITERION FOR NON-SELF-ADJOINT SCHRODINGER OPERATORS WITH PERIODIC AND ANTIPERIODIC BOUNDARY CONDITIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 253. ISSUE 2. P. 400-437 38 83% 18
5 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
6 BRUNNHUBER, R , ECKHARDT, J , KOSTENKO, A , TESCHL, G , (2014) SINGULAR WEYL-TITCHMARSH-KODAIRA THEORY FOR ONE-DIMENSIONAL DIRAC OPERATORS.MONATSHEFTE FUR MATHEMATIK. VOL. 174. ISSUE 4. P. 515 -547 30 97% 5
7 YANG, CF , (2014) ON THE QUASINODAL MAP FOR THE DIFFUSION OPERATOR.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 266. ISSUE 7. P. 4236-4265 31 97% 0
8 YURKO, VA , (2016) INVERSE SPECTRAL PROBLEMS FOR DIFFERENTIAL OPERATORS ON SPATIAL NETWORKS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 71. ISSUE 3. P. 539 -584 32 89% 0
9 CLARK, S , ZEMANEK, P , (2010) ON A WEYL-TITCHMARSH THEORY FOR DISCRETE SYMPLECTIC SYSTEMS ON A HALF LINE.APPLIED MATHEMATICS AND COMPUTATION. VOL. 217. ISSUE 7. P. 2952-2976 37 86% 5
10 BEHRNDT, J , PHILIPP, F , TRUNK, C , (2013) BOUNDS ON THE NON-REAL SPECTRUM OF DIFFERENTIAL OPERATORS WITH INDEFINITE WEIGHTS.MATHEMATISCHE ANNALEN. VOL. 357. ISSUE 1. P. 185-213 28 100% 7

Classes with closest relation at Level 2


Rank Class id link
1 1111 ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//SCHRODINGER OPERATOR
2 2295 OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION
3 1984 INVERSE PROBLEMS//INVERSE SCATTERING//TOPOLOGICAL DERIVATIVE
4 1160 STRICHARTZ ESTIMATES//GLOBAL EXISTENCE//BLOW UP
5 2139 DISTRIBUTED PARAMETER SYSTEMS//CARLEMAN ESTIMATES//NULL CONTROLLABILITY
6 1108 COMPOSITION OPERATOR//TOEPLITZ OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY
7 3515 INFINITE GRAPHS//GROMOV HYPERBOLICITY//INFINITE MATROID
8 4124 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR
9 905 POSITIVE SOLUTION//PERIODIC SOLUTION//FIXED POINT INDEX
10 943 LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE

Go to start page