Class information for:
Level 1: OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//AFFINELY SELF SIMILAR FUNCTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
35787 92 15.3 19%


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
35787 1                   OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//AFFINELY SELF SIMILAR FUNCTION 92

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 OSCILLATION OF EIGENFUNCTIONS authKW 995727 3% 100% 3
2 SELF SIMILAR FUNCTION authKW 995721 7% 50% 6
3 AFFINELY SELF SIMILAR FUNCTION authKW 331909 1% 100% 1
4 APPROXIMATIONS OF MONOTONE FUNCTIONS BY STEP FUNCTIONS authKW 331909 1% 100% 1
5 ASTRONAUT SCI TECHNOL address 331909 1% 100% 1
6 COMPLEX VALUED DISTRIBUTIONAL POTENTIALS authKW 331909 1% 100% 1
7 CRITERION FOR THE SINGULARITY OF FUNCTIONS authKW 331909 1% 100% 1
8 DIFFERENTIAL OPERATORS WITH DISTRIBUTION COEFFICIENTS authKW 331909 1% 100% 1
9 DIFFERENTIAL OPERATORS WITH SINGULAR COEFFICIENTS authKW 331909 1% 100% 1
10 DIMITROV TECHNOL CONTROL DESIGN address 331909 1% 100% 1

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 3279 80% 0% 74
2 Multidisciplinary Sciences 129 7% 0% 6
3 Mathematics, Applied 69 12% 0% 11
4 Engineering, Aerospace 37 3% 0% 3
5 Mechanics 23 7% 0% 6
6 Physics, Mathematical 8 3% 0% 3
7 Instruments & Instrumentation 2 2% 0% 2
8 Engineering, General 0 1% 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 ASTRONAUT SCI TECHNOL 331909 1% 100% 1
2 DIMITROV TECHNOL CONTROL DESIGN 331909 1% 100% 1
3 DIMITROV BRANCH 82976 1% 25% 1
4 FED INFORMAT CONTROL 66380 1% 20% 1
5 SOUTHERN MATH 42823 2% 6% 2
6 DORODNITSYN COMPUTAT 30172 1% 9% 1
7 AA DORODNITSYN COMP 27657 1% 8% 1
8 VLADIKAVKAZ SCI 17937 2% 3% 2
9 VLADIKAVKAZ 16594 1% 5% 1
10 SOUTH MATH 15085 1% 5% 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 MATHEMATICAL NOTES 68349 35% 1% 32
2 DIFFERENTIAL EQUATIONS 8895 11% 0% 10
3 SBORNIK MATHEMATICS 5361 5% 0% 5
4 ST PETERSBURG MATHEMATICAL JOURNAL 3165 2% 0% 2
5 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 3065 4% 0% 4
6 DOKLADY MATHEMATICS 2708 5% 0% 5
7 RUSSIAN MATHEMATICAL SURVEYS 2157 4% 0% 4
8 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 1281 2% 0% 2
9 DOKLADY AKADEMII NAUK 921 5% 0% 5
10 INGENIEUR ARCHIV 804 1% 0% 1

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 OSCILLATION OF EIGENFUNCTIONS 995727 3% 100% 3 Search OSCILLATION+OF+EIGENFUNCTIONS Search OSCILLATION+OF+EIGENFUNCTIONS
2 SELF SIMILAR FUNCTION 995721 7% 50% 6 Search SELF+SIMILAR+FUNCTION Search SELF+SIMILAR+FUNCTION
3 AFFINELY SELF SIMILAR FUNCTION 331909 1% 100% 1 Search AFFINELY+SELF+SIMILAR+FUNCTION Search AFFINELY+SELF+SIMILAR+FUNCTION
4 APPROXIMATIONS OF MONOTONE FUNCTIONS BY STEP FUNCTIONS 331909 1% 100% 1 Search APPROXIMATIONS+OF+MONOTONE+FUNCTIONS+BY+STEP+FUNCTIONS Search APPROXIMATIONS+OF+MONOTONE+FUNCTIONS+BY+STEP+FUNCTIONS
5 COMPLEX VALUED DISTRIBUTIONAL POTENTIALS 331909 1% 100% 1 Search COMPLEX+VALUED+DISTRIBUTIONAL+POTENTIALS Search COMPLEX+VALUED+DISTRIBUTIONAL+POTENTIALS
6 CRITERION FOR THE SINGULARITY OF FUNCTIONS 331909 1% 100% 1 Search CRITERION+FOR+THE+SINGULARITY+OF+FUNCTIONS Search CRITERION+FOR+THE+SINGULARITY+OF+FUNCTIONS
7 DIFFERENTIAL OPERATORS WITH DISTRIBUTION COEFFICIENTS 331909 1% 100% 1 Search DIFFERENTIAL+OPERATORS+WITH+DISTRIBUTION+COEFFICIENTS Search DIFFERENTIAL+OPERATORS+WITH+DISTRIBUTION+COEFFICIENTS
8 DIFFERENTIAL OPERATORS WITH SINGULAR COEFFICIENTS 331909 1% 100% 1 Search DIFFERENTIAL+OPERATORS+WITH+SINGULAR+COEFFICIENTS Search DIFFERENTIAL+OPERATORS+WITH+SINGULAR+COEFFICIENTS
9 DISCONTINUOUS ARGUMENT 331909 1% 100% 1 Search DISCONTINUOUS+ARGUMENT Search DISCONTINUOUS+ARGUMENT
10 EULER LAGRANGE THEOREM 331909 1% 100% 1 Search EULER+LAGRANGE+THEOREM Search EULER+LAGRANGE+THEOREM

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 TIKHONOV, YV , SHEIPAK, IA , (2016) ON THE STRING EQUATION WITH A SINGULAR WEIGHT BELONGING TO THE SPACE OF MULTIPLIERS IN SOBOLEV SPACES WITH NEGATIVE INDEX OF SMOOTHNESS.IZVESTIYA MATHEMATICS. VOL. 80. ISSUE 6. P. 1242 -1256 10 77% 0
2 VALEEV, NF , ESKERMESULY, A , SULTANAEV, YT , (2016) ON THE DEFICIENCY INDEX OF A DIFFERENTIAL OPERATOR WITH FAST OSCILLATING COEFFICIENTS.MATHEMATICAL NOTES. VOL. 100. ISSUE 3-4. P. 486 -490 6 100% 0
3 VLADIMIROV, AA , (2016) ON THE PROBLEM OF OSCILLATION PROPERTIES OF POSITIVE DIFFERENTIAL OPERATORS WITH SINGULAR COEFFICIENTS.MATHEMATICAL NOTES. VOL. 100. ISSUE 5-6. P. 790 -795 6 100% 0
4 BEN AMARA, J , SHKALIKOV, AA , VLADIMIROV, AA , (2013) SPECTRAL AND OSCILLATORY PROPERTIES OF A LINEAR PENCIL OF FOURTH-ORDER DIFFERENTIAL OPERATORS.MATHEMATICAL NOTES. VOL. 94. ISSUE 1-2. P. 49 -59 6 75% 1
5 KUSSAINOVA, LK , MYRZAGALIYEVA, AK , SULTANAEV, YT , (2016) ON THE BOUNDEDNESS OF THE SCHRODINGER OPERATOR IN WEIGHTED SOBOLEV SPACES.MATHEMATICAL NOTES. VOL. 99. ISSUE 5-6. P. 948 -953 6 67% 0
6 VLADIMIROV, AA , SHEIPAK, IA , (2013) ON THE NEUMANN PROBLEM FOR THE STURM-LIOUVILLE EQUATION WITH CANTOR-TYPE SELF-SIMILAR WEIGHT.FUNCTIONAL ANALYSIS AND ITS APPLICATIONS. VOL. 47. ISSUE 4. P. 261-270 6 67% 1
7 BELYAEV, AA , (2014) CHARACTERIZATION OF SPACES OF MULTIPLIERS FOR BESSEL POTENTIAL SPACES.MATHEMATICAL NOTES. VOL. 96. ISSUE 5-6. P. 634 -646 5 71% 1
8 SHEIPAK, IA , (2015) ASYMPTOTICS OF THE SPECTRUM OF A DIFFERENTIAL OPERATOR WITH THE WEIGHT GENERATED BY THE MINKOWSKI FUNCTION.MATHEMATICAL NOTES. VOL. 97. ISSUE 1-2. P. 289 -294 4 80% 0
9 BELYAEV, AA , (2013) SUNGULAR PERTURBATIONS OF POWERS OF THE LAPLACIAN ON THE TORUS.MATHEMATICAL NOTES. VOL. 94. ISSUE 3-4. P. 594-598 3 100% 1
10 POKORNYI, YV , (2008) ZEROS OF THE GREEN'S FUNCTION FOR THE DE LA VALLEE-POUSSIN PROBLEM.SBORNIK MATHEMATICS. VOL. 199. ISSUE 5-6. P. 891-921 3 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 21417 WENTZELL BOUNDARY CONDITIONS//DYNAMICAL BOUNDARY CONDITIONS//FR CNRS MATH 2956
2 22477 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM
3 13977 HILL OPERATOR//DIFFERENTIAL EQUATIONS//REGULAR BOUNDARY CONDITIONS
4 28890 FBI BARGMANN TRANSFORM//COMPLEX PERTURBATION//INFINITE CURVATURE
5 33388 NEFTEKAMSK BRANCH//STATIC FLEXIBILITY//A DISC OF VARYING THICKNESS
6 12830 SMALL DEVIATIONS//SMALL BALL PROBABILITY//LARGE DEVIATION PROBABILITY
7 7223 INVERSE SPECTRAL PROBLEM//INVERSE NODAL PROBLEM//STURM LIOUVILLE OPERATOR
8 29560 PARTIAL INTEGRAL OPERATORS//COMPONENTWISE EXPONENTIAL ASYMPTOTIC STABILITY//DIFFERENTIAL DIFFERENCE EQUAT
9 19236 SIERPINSKI GASKET//ANALYSIS ON FRACTALS//DIRICHLET FORM
10 16950 TRANSPORT OPERATOR//FREDHOLM PERTURBATION//ANOMALOUS DIFFUSION LIMIT

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