Class information for:
Level 1: CONJOINED BASIS//LIMIT POINT CASE//TRANSMISSION CONDITIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8907 1206 17.5 31%


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
8907 1                   CONJOINED BASIS//LIMIT POINT CASE//TRANSMISSION CONDITIONS 1206

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 CONJOINED BASIS authKW 531676 2% 100% 21
2 LIMIT POINT CASE authKW 507507 2% 95% 21
3 TRANSMISSION CONDITIONS authKW 490106 4% 44% 44
4 LINEAR HAMILTONIAN SYSTEM authKW 441900 2% 73% 24
5 LIMIT CIRCLE CASE authKW 435224 2% 90% 19
6 COMPLETENESS OF THE SYSTEM OF EIGENVECTORS AND ASSOCIATED VECTORS authKW 405087 1% 100% 16
7 DISCRETE SYMPLECTIC SYSTEM authKW 405087 1% 100% 16
8 DISCRETE QUADRATIC FUNCTIONAL authKW 354451 1% 100% 14
9 LINEAR HAMILTONIAN DIFFERENCE SYSTEM authKW 329133 1% 100% 13
10 SYMPLECTIC DIFFERENCE SYSTEM authKW 329133 1% 100% 13

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 36706 74% 0% 898
2 Mathematics, Applied 22470 54% 0% 650
3 Physics, Mathematical 48 2% 0% 30
4 Automation & Control Systems 33 1% 0% 18
5 Multidisciplinary Sciences 28 1% 0% 13
6 COMPUTER APPLICATIONS & CYBERNETICS 8 0% 0% 1
7 Operations Research & Management Science 6 1% 0% 12
8 Computer Science, Software Engineering 2 1% 0% 10
9 Mathematics, Interdisciplinary Applications 0 1% 0% 7
10 Computer Science, Cybernetics -0 0% 0% 1

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 MATH PL STAT ACTUARIAL SCI 50636 0% 100% 2
2 CAIUS IACOB PL MECH 25318 0% 100% 1
3 DIPARTIMENTO MATEMAT INFORMAT ULISSE DINE 25318 0% 100% 1
4 FB3 MATH 25318 0% 100% 1
5 GOZTEPE KAMPUSU 25318 0% 100% 1
6 LMMCNRSURA 229 25318 0% 100% 1
7 SEVERODVINSK BRANCH 25318 0% 100% 1
8 MATEMAT LICADA INGN 25304 1% 13% 8
9 ABT MATH 5 20248 0% 20% 4
10 ANGEW ANAL 13458 0% 11% 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 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 88346 8% 4% 95
2 MATHEMATISCHE NACHRICHTEN 20468 5% 1% 57
3 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 19825 3% 2% 35
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 11242 8% 0% 97
5 JOURNAL OF DIFFERENTIAL EQUATIONS 10188 4% 1% 54
6 ADVANCES IN DIFFERENCE EQUATIONS 6799 2% 1% 24
7 DIFFERENTIAL EQUATIONS 5662 2% 1% 29
8 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 3016 2% 1% 19
9 QUARTERLY JOURNAL OF MATHEMATICS 2954 1% 1% 13
10 RESULTS IN MATHEMATICS 2904 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 CONJOINED BASIS 531676 2% 100% 21 Search CONJOINED+BASIS Search CONJOINED+BASIS
2 LIMIT POINT CASE 507507 2% 95% 21 Search LIMIT+POINT+CASE Search LIMIT+POINT+CASE
3 TRANSMISSION CONDITIONS 490106 4% 44% 44 Search TRANSMISSION+CONDITIONS Search TRANSMISSION+CONDITIONS
4 LINEAR HAMILTONIAN SYSTEM 441900 2% 73% 24 Search LINEAR+HAMILTONIAN+SYSTEM Search LINEAR+HAMILTONIAN+SYSTEM
5 LIMIT CIRCLE CASE 435224 2% 90% 19 Search LIMIT+CIRCLE+CASE Search LIMIT+CIRCLE+CASE
6 COMPLETENESS OF THE SYSTEM OF EIGENVECTORS AND ASSOCIATED VECTORS 405087 1% 100% 16 Search COMPLETENESS+OF+THE+SYSTEM+OF+EIGENVECTORS+AND+ASSOCIATED+VECTORS Search COMPLETENESS+OF+THE+SYSTEM+OF+EIGENVECTORS+AND+ASSOCIATED+VECTORS
7 DISCRETE SYMPLECTIC SYSTEM 405087 1% 100% 16 Search DISCRETE+SYMPLECTIC+SYSTEM Search DISCRETE+SYMPLECTIC+SYSTEM
8 DISCRETE QUADRATIC FUNCTIONAL 354451 1% 100% 14 Search DISCRETE+QUADRATIC+FUNCTIONAL Search DISCRETE+QUADRATIC+FUNCTIONAL
9 LINEAR HAMILTONIAN DIFFERENCE SYSTEM 329133 1% 100% 13 Search LINEAR+HAMILTONIAN+DIFFERENCE+SYSTEM Search LINEAR+HAMILTONIAN+DIFFERENCE+SYSTEM
10 SYMPLECTIC DIFFERENCE SYSTEM 329133 1% 100% 13 Search SYMPLECTIC+DIFFERENCE+SYSTEM Search SYMPLECTIC+DIFFERENCE+SYSTEM

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 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 34 97% 0
2 SUN, HQ , KONG, QK , SHI, YM , (2016) ESSENTIAL SPECTRUM OF SINGULAR DISCRETE LINEAR HAMILTONIAN SYSTEMS.MATHEMATISCHE NACHRICHTEN. VOL. 289. ISSUE 2-3. P. 343 -359 30 86% 0
3 SEPITKA, P , SIMON HILSCHER, R , (2015) RECESSIVE SOLUTIONS FOR NONOSCILLATORY DISCRETE SYMPLECTIC SYSTEMS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 469. ISSUE . P. 243 -275 28 88% 0
4 SIMON HILSCHER, R , (2012) OSCILLATION THEOREMS FOR DISCRETE SYMPLECTIC SYSTEMS WITH NONLINEAR DEPENDENCE IN SPECTRAL PARAMETER.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 437. ISSUE 12. P. 2922 -2960 24 96% 6
5 SIMON HILSCHER, R , ZEMANEK, P , (2014) LIMIT POINT AND LIMIT CIRCLE CLASSIFICATION FOR SYMPLECTIC SYSTEMS ON TIME SCALES.APPLIED MATHEMATICS AND COMPUTATION. VOL. 233. ISSUE . P. 623 -646 28 80% 1
6 SUN, HQ , SHI, YM , JIAN, WW , (2014) J-SELF-ADJOINT EXTENSIONS OF A CLASS OF HAMILTONIAN DIFFERENTIAL SYSTEMS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 462. ISSUE . P. 204 -232 26 84% 0
7 SIMON HILSCHER, R , ZEMANEK, P , (2013) WEYL DISKS AND SQUARE SUMMABLE SOLUTIONS FOR DISCRETE SYMPLECTIC SYSTEMS WITH JOINTLY VARYING ENDPOINTS.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 22 100% 0
8 ZHANG, C , SUN, SR , (2016) CLASSIFICATION AND CRITERIA OF LIMIT CASES FOR SINGULAR SECOND-ORDER LINEAR EQUATIONS WITH COMPLEX COEFFICIENTS ON TIME SCALES.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 23 88% 0
9 SIMON HILSCHER, R , ZEMANEK, P , (2011) WEYL-TITCHMARSH THEORY FOR TIME SCALE SYMPLECTIC SYSTEMS ON HALF LINE.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 29 78% 1
10 SIMON HILSCHER, R , ZEMANEK, P , (2014) WEYL-TITCHMARSH THEORY FOR DISCRETE SYMPLECTIC SYSTEMS WITH GENERAL LINEAR DEPENDENCE ON SPECTRAL PARAMETER.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 20. ISSUE 1. P. 84 -117 24 86% 1

Classes with closest relation at Level 1


Rank Class id link
1 7223 INVERSE SPECTRAL PROBLEM//INVERSE NODAL PROBLEM//STURM LIOUVILLE OPERATOR
2 12972 KREIN SPACE//DEFINITIZABLE OPERATOR//ANAL TECH MATH
3 25276 CP METHODS//STURM LIOUVILLE PROBLEM//ASYMPTOTIC CORRECTION
4 31773 ASTIGMATIC BEAM//LENSGUIDES//OAO LOMO
5 31383 AEROELASTIC MODES//ROOT VECTORS//CONVOLUTION INTEGRAL OPERATOR
6 23320 LYAPUNOV TYPE INEQUALITY//LYAPUNOV INEQUALITY//OPIALS INEQUALITY
7 35787 OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//AFFINELY SELF SIMILAR FUNCTION
8 23002 PICONE TYPE INEQUALITY//PICONE IDENTITY//STURMIAN COMPARISON THEOREM
9 12909 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
10 28514 STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS

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