Class information for:
Level 1: HILL OPERATOR//DIFFERENTIAL EQUATIONS//REGULAR BOUNDARY CONDITIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
13977 801 15.0 24%


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
13977 1                   HILL OPERATOR//DIFFERENTIAL EQUATIONS//REGULAR BOUNDARY CONDITIONS 801

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 HILL OPERATOR authKW 389855 2% 68% 15
2 DIFFERENTIAL EQUATIONS journal 335099 23% 5% 181
3 REGULAR BOUNDARY CONDITIONS authKW 266841 1% 100% 7
4 FRANKL PROBLEM authKW 158832 1% 83% 5
5 LAVRENTEV BITSADZE EQUATION authKW 158832 1% 83% 5
6 BASIS PROPERTY authKW 124751 1% 55% 6
7 BIRKHOFF REGULARITY authKW 121983 0% 80% 4
8 METHOD OF SIMILAR OPERATORS authKW 121983 0% 80% 4
9 BASIS PROPERTIES OF THE SYSTEM OF ROOT FUNCTIONS authKW 114360 0% 100% 3
10 EULER BERNOULLI EQUATION FOR THE VIBRATING BEAM authKW 114360 0% 100% 3

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 27182 79% 0% 629
2 Mathematics, Applied 3062 25% 0% 202
3 Multidisciplinary Sciences 1765 8% 0% 65
4 Physics, Mathematical 367 7% 0% 53
5 Mechanics 4 2% 0% 15
6 Automation & Control Systems -1 0% 0% 2
7 Statistics & Probability -1 0% 0% 3
8 Computer Science, Information Systems -3 0% 0% 1
9 Physics, Particles & Fields -5 0% 0% 2
10 Physics, Multidisciplinary -6 1% 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 NONHARMON ANAL 101651 0% 67% 4
2 MATH METHODS MODELING 68614 0% 60% 3
3 ANAL DYNAM OPTIMIERUNG 50826 0% 67% 2
4 MATH ANAL ALGEBRA GEOMETRY 50826 0% 67% 2
5 NAT PEDAGOG 38120 0% 100% 1
6 NON HARMON ANAL 38120 0% 100% 1
7 SHYMKENT 38120 0% 100% 1
8 MATH INFORMAT SPACE TECHNOL 38118 0% 50% 2
9 COMPUTAT MATH CYBERNET 23589 3% 3% 24
10 MATH MECH 19956 5% 1% 43

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 335099 23% 5% 181
2 DOKLADY MATHEMATICS 68230 9% 2% 74
3 MATHEMATICAL NOTES 9330 4% 1% 35
4 ACTA SCIENTIARUM MATHEMATICARUM 6340 1% 2% 7
5 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 4934 2% 1% 15
6 DOKLADY AKADEMII NAUK SSSR 4359 6% 0% 50
7 DOKLADY AKADEMII NAUK 3789 4% 0% 30
8 DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS 3088 0% 2% 4
9 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 3040 1% 1% 10
10 ASYMPTOTIC ANALYSIS 2597 1% 1% 9

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 HILL OPERATOR 389855 2% 68% 15 Search HILL+OPERATOR Search HILL+OPERATOR
2 REGULAR BOUNDARY CONDITIONS 266841 1% 100% 7 Search REGULAR+BOUNDARY+CONDITIONS Search REGULAR+BOUNDARY+CONDITIONS
3 FRANKL PROBLEM 158832 1% 83% 5 Search FRANKL+PROBLEM Search FRANKL+PROBLEM
4 LAVRENTEV BITSADZE EQUATION 158832 1% 83% 5 Search LAVRENTEV+BITSADZE+EQUATION Search LAVRENTEV+BITSADZE+EQUATION
5 BASIS PROPERTY 124751 1% 55% 6 Search BASIS+PROPERTY Search BASIS+PROPERTY
6 BIRKHOFF REGULARITY 121983 0% 80% 4 Search BIRKHOFF+REGULARITY Search BIRKHOFF+REGULARITY
7 METHOD OF SIMILAR OPERATORS 121983 0% 80% 4 Search METHOD+OF+SIMILAR+OPERATORS Search METHOD+OF+SIMILAR+OPERATORS
8 BASIS PROPERTIES OF THE SYSTEM OF ROOT FUNCTIONS 114360 0% 100% 3 Search BASIS+PROPERTIES+OF+THE+SYSTEM+OF+ROOT+FUNCTIONS Search BASIS+PROPERTIES+OF+THE+SYSTEM+OF+ROOT+FUNCTIONS
9 EULER BERNOULLI EQUATION FOR THE VIBRATING BEAM 114360 0% 100% 3 Search EULER+BERNOULLI+EQUATION+FOR+THE+VIBRATING+BEAM Search EULER+BERNOULLI+EQUATION+FOR+THE+VIBRATING+BEAM
10 MATHIEU HILL OPERATOR 114360 0% 100% 3 Search MATHIEU+HILL+OPERATOR Search MATHIEU+HILL+OPERATOR

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 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 36 78% 18
2 GUNES, H , KERIMOV, NB , KAYA, U , (2015) SPECTRAL PROPERTIES OF FOURTH ORDER DIFFERENTIAL OPERATORS WITH PERIODIC AND ANTIPERIODIC BOUNDARY CONDITIONS.RESULTS IN MATHEMATICS. VOL. 68. ISSUE 3-4. P. 501 -518 19 100% 0
3 LUNYOV, AA , MALAMUD, MM , (2015) ON THE COMPLETENESS AND RIESZ BASIS PROPERTY OF ROOT SUBSPACES OF BOUNDARY VALUE PROBLEMS FOR FIRST ORDER SYSTEMS AND APPLICATIONS.JOURNAL OF SPECTRAL THEORY. VOL. 5. ISSUE 1. P. 17 -70 21 84% 2
4 KERIMOV, NB , KAYA, U , (2014) SPECTRAL ASYMPTOTICS AND BASIS PROPERTIES OF FOURTH ORDER DIFFERENTIAL OPERATORS WITH REGULAR BOUNDARY CONDITIONS.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 37. ISSUE 5. P. 698-710 17 100% 1
5 DJAKOV, P , MITYAGIN, B , (2012) CRITERIA FOR EXISTENCE OF RIESZ BASES CONSISTING OF ROOT FUNCTIONS OF HILL AND 1D DIRAC OPERATORS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 263. ISSUE 8. P. 2300-2332 20 80% 19
6 NUR, C , VELIEV, OA , (2014) ON THE BASIS PROPERTY OF THE ROOT FUNCTIONS OF SOME CLASS OF NON-SELF-ADJOINT STURM-LIOUVILLE OPERATORS.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 16 100% 0
7 LUNYOV, AA , MALAMUD, MM , (2016) ON THE RIESZ BASIS PROPERTY OF ROOT VECTORS SYSTEM FOR 2 X 2 DIRAC TYPE OPERATORS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 441. ISSUE 1. P. 57 -103 17 74% 2
8 VELIEV, OA , (2013) ASYMPTOTIC ANALYSIS OF NON-SELF-ADJOINT HILL OPERATORS.CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. VOL. 11. ISSUE 12. P. 2234-2256 15 100% 4
9 DJAKOV, P , MITYAGIN, BS , (2006) INSTABILITY ZONES OF PERIODIC 1-DIMENSIONAL SCHRODINGER AND DIRAC OPERATORS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 61. ISSUE 4. P. 663-766 20 83% 39
10 GESZTESY, F , TRACHENKO, V , (2009) A CRITERION FOR HILL OPERATORS TO BE SPECTRAL OPERATORS OF SCALAR TYPE.JOURNAL D ANALYSE MATHEMATIQUE. VOL. 107. ISSUE . P. 287-353 21 72% 15

Classes with closest relation at Level 1


Rank Class id link
1 35787 OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//AFFINELY SELF SIMILAR FUNCTION
2 7223 INVERSE SPECTRAL PROBLEM//INVERSE NODAL PROBLEM//STURM LIOUVILLE OPERATOR
3 22938 SIGMA FUNCTION//ELLIPTIC SOLITONS//ABELIAN FUNCTIONS
4 31353 MAGNITOGORSK STATE PEDAG//RIESZ PROPERTY//SINE TYPE FUNCTION
5 29560 PARTIAL INTEGRAL OPERATORS//COMPONENTWISE EXPONENTIAL ASYMPTOTIC STABILITY//DIFFERENTIAL DIFFERENCE EQUAT
6 37197 DIVERGENCE SETS//LACUNARY SEQUENCE OF PARTIAL SUMS//MATH ANAL GEOMETRY
7 31383 AEROELASTIC MODES//ROOT VECTORS//CONVOLUTION INTEGRAL OPERATOR
8 28890 FBI BARGMANN TRANSFORM//COMPLEX PERTURBATION//INFINITE CURVATURE
9 35251 BOUNDARY CONTROL THEORY//COMPUTATER//HIGHER ORDER PARTIAL DIFFERENTIAL EQUATION
10 20434 BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES

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