Class information for:
Level 1: PARTIAL INTEGRAL OPERATORS//COMPONENTWISE EXPONENTIAL ASYMPTOTIC STABILITY//DIFFERENTIAL DIFFERENCE EQUAT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
29560 184 15.6 21%


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
460 3       POSITIVE SOLUTION//MATHEMATICS, APPLIED//DIFFERENCE EQUATIONS 24500
1287 2             DIFFERENCE EQUATIONS//MILD SOLUTION//JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 8681
29560 1                   PARTIAL INTEGRAL OPERATORS//COMPONENTWISE EXPONENTIAL ASYMPTOTIC STABILITY//DIFFERENTIAL DIFFERENCE EQUAT 184

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 PARTIAL INTEGRAL OPERATORS authKW 663810 3% 67% 6
2 COMPONENTWISE EXPONENTIAL ASYMPTOTIC STABILITY authKW 497861 2% 100% 3
3 DIFFERENTIAL DIFFERENCE EQUAT address 497861 2% 100% 3
4 PARTIAL INTEGRAL EQUATION authKW 497861 2% 100% 3
5 FUNDAMENTAL OPERATOR FUNCTION authKW 331907 1% 100% 2
6 HULL OF AN ALMOST PERIODIC MATRIX authKW 331907 1% 100% 2
7 INTEGRAL AND DIFFERENTIAL OPERATORS authKW 331907 1% 100% 2
8 LINEAR RELATION MULTIVALUED LINEAR OPERATOR authKW 331907 1% 100% 2
9 NEVANLINNA MEASURE authKW 331907 1% 100% 2
10 LINEAR RELATION authKW 224244 5% 14% 10

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 6113 78% 0% 143
2 Mathematics, Applied 628 24% 0% 44
3 Automation & Control Systems 68 4% 0% 8
4 Mechanics 38 6% 0% 11
5 Physics, Mathematical 5 2% 0% 4
6 Computer Science, Cybernetics 4 1% 0% 1
7 Computer Science, Software Engineering 1 1% 0% 2
8 Multidisciplinary Sciences 0 1% 0% 1
9 Computer Science, Interdisciplinary Applications 0 1% 0% 2
10 Computer Science, Theory & Methods 0 1% 0% 2

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 DIFFERENTIAL DIFFERENCE EQUAT 497861 2% 100% 3
2 CNRS 7035 165954 1% 100% 1
3 AUTOMAT CONTROL IND INFORMAT 147508 2% 22% 4
4 MATH ECON INFORMAT 27657 1% 17% 1
5 CORIDA 18438 1% 11% 1
6 MATEMAT LICADAS SISTEMAS COMPUTAC 16594 1% 10% 1
7 MMAS 11062 1% 7% 1
8 AUTOMAT CONTROL PL INFORMAT 3686 1% 2% 1
9 PL MATH MECH 3655 3% 0% 5
10 UMR 8506 2719 1% 2% 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 SIBERIAN MATHEMATICAL JOURNAL 31699 13% 1% 24
2 MATHEMATICAL NOTES 30004 16% 1% 30
3 DIFFERENTIAL EQUATIONS 27810 14% 1% 25
4 IZVESTIYA MATHEMATICS 9072 4% 1% 7
5 JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY 8992 2% 2% 3
6 SOVIET APPLIED MECHANICS 2538 2% 1% 3
7 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 2391 3% 0% 5
8 PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 2046 3% 0% 5
9 SBORNIK MATHEMATICS 1711 2% 0% 4
10 ST PETERSBURG MATHEMATICAL JOURNAL 1580 1% 0% 2

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 PARTIAL INTEGRAL OPERATORS 663810 3% 67% 6 Search PARTIAL+INTEGRAL+OPERATORS Search PARTIAL+INTEGRAL+OPERATORS
2 COMPONENTWISE EXPONENTIAL ASYMPTOTIC STABILITY 497861 2% 100% 3 Search COMPONENTWISE+EXPONENTIAL+ASYMPTOTIC+STABILITY Search COMPONENTWISE+EXPONENTIAL+ASYMPTOTIC+STABILITY
3 PARTIAL INTEGRAL EQUATION 497861 2% 100% 3 Search PARTIAL+INTEGRAL+EQUATION Search PARTIAL+INTEGRAL+EQUATION
4 FUNDAMENTAL OPERATOR FUNCTION 331907 1% 100% 2 Search FUNDAMENTAL+OPERATOR+FUNCTION Search FUNDAMENTAL+OPERATOR+FUNCTION
5 HULL OF AN ALMOST PERIODIC MATRIX 331907 1% 100% 2 Search HULL+OF+AN+ALMOST+PERIODIC+MATRIX Search HULL+OF+AN+ALMOST+PERIODIC+MATRIX
6 INTEGRAL AND DIFFERENTIAL OPERATORS 331907 1% 100% 2 Search INTEGRAL+AND+DIFFERENTIAL+OPERATORS Search INTEGRAL+AND+DIFFERENTIAL+OPERATORS
7 LINEAR RELATION MULTIVALUED LINEAR OPERATOR 331907 1% 100% 2 Search LINEAR+RELATION+MULTIVALUED+LINEAR+OPERATOR Search LINEAR+RELATION+MULTIVALUED+LINEAR+OPERATOR
8 NEVANLINNA MEASURE 331907 1% 100% 2 Search NEVANLINNA+MEASURE Search NEVANLINNA+MEASURE
9 LINEAR RELATION 224244 5% 14% 10 Search LINEAR+RELATION Search LINEAR+RELATION
10 COMPONENTWISE ASYMPTOTIC STABILITY 221270 1% 67% 2 Search COMPONENTWISE+ASYMPTOTIC+STABILITY Search COMPONENTWISE+ASYMPTOTIC+STABILITY

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 BASKAKOV, AG , (2013) ANALYSIS OF LINEAR DIFFERENTIAL EQUATIONS BY METHODS OF THE SPECTRAL THEORY OF DIFFERENCE OPERATORS AND LINEAR RELATIONS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 68. ISSUE 1. P. 69 -116 23 58% 12
2 BASKAKOV, AG , DUPLISCHEVA, AY , (2015) DIFFERENCE OPERATORS AND OPERATOR-VALUED MATRICES OF THE SECOND ORDER.IZVESTIYA MATHEMATICS. VOL. 79. ISSUE 2. P. 217 -232 13 93% 1
3 BICHEGKUEV, MS , (2016) LYAPUNOV TRANSFORMATION OF DIFFERENTIAL OPERATORS WITH UNBOUNDED OPERATOR COEFFICIENTS.MATHEMATICAL NOTES. VOL. 99. ISSUE 1-2. P. 24 -36 12 100% 0
4 BASKAKOV, AG , DIDENKO, VB , (2015) SPECTRAL ANALYSIS OF DIFFERENTIAL OPERATORS WITH UNBOUNDED PERIODIC COEFFICIENTS.DIFFERENTIAL EQUATIONS. VOL. 51. ISSUE 3. P. 325 -341 12 92% 1
5 BASKAKOV, AG , (2015) ESTIMATES FOR THE GREEN'S FUNCTION AND PARAMETERS OF EXPONENTIAL DICHOTOMY OF A HYPERBOLIC OPERATOR SEMIGROUP AND LINEAR RELATIONS.SBORNIK MATHEMATICS. VOL. 206. ISSUE 8. P. 1049 -1086 17 63% 1
6 BICHEGKUEV, MS , (2013) SPECTRAL ANALYSIS OF DIFFERENCE AND DIFFERENTIAL OPERATORS IN WEIGHTED SPACES.SBORNIK MATHEMATICS. VOL. 204. ISSUE 11. P. 1549 -1564 12 86% 2
7 CHSHIEV, AG , (2013) THE GEARHART-PRUSS THEOREM FOR A CLASS OF DEGENERATE SEMIGROUPS OF OPERATORS.MATHEMATICAL NOTES. VOL. 94. ISSUE 3-4. P. 400-413 10 91% 1
8 BICHEGKUEV, MS , (2014) SPECTRAL ANALYSIS OF DIFFERENTIAL OPERATORS WITH UNBOUNDED OPERATOR COEFFICIENTS IN WEIGHTED SPACES OF FUNCTIONS.MATHEMATICAL NOTES. VOL. 95. ISSUE 1-2. P. 15-21 9 90% 0
9 BRUK, VM , (2014) ON LINEAR RELATIONS GENERATED BY AN INTEGRO-DIFFERENTIAL EQUATION WITH NEVANLINNA MEASURE IN THE INFINITE-DIMENSIONAL CASE.MATHEMATICAL NOTES. VOL. 96. ISSUE 1-2. P. 10 -25 9 82% 0
10 KURBATOV, VG , KURBATOVA, IV , (2015) EXTENDED TENSOR PRODUCTS AND AN OPERATOR-VALUED SPECTRAL MAPPING THEOREM.IZVESTIYA MATHEMATICS. VOL. 79. ISSUE 4. P. 710 -739 6 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 12440 EXPONENTIAL DICHOTOMY//NONUNIFORM EXPONENTIAL DICHOTOMIES//UNIFORM EXPONENTIAL STABILITY
2 35251 BOUNDARY CONTROL THEORY//COMPUTATER//HIGHER ORDER PARTIAL DIFFERENTIAL EQUATION
3 23942 WEAKLY INTEGRALLY POSITIVE//UNIFORM ASYMPTOTIC STABILITY//INTEGRALLY POSITIVE
4 31383 AEROELASTIC MODES//ROOT VECTORS//CONVOLUTION INTEGRAL OPERATOR
5 33519 WEAK QUASI PERIODIC SOLUTION//NONLINEAR DUFFING EQUATIONS//ADVANCED RETARDED DIFFERENTIAL EQUATIONS
6 35787 OSCILLATION OF EIGENFUNCTIONS//SELF SIMILAR FUNCTION//AFFINELY SELF SIMILAR FUNCTION
7 29888 KELVIN VOIGT FLUID//DEGENERATE SEMIGROUP OF OPERATORS//GENERALIZED SHOWALTER SIDOROV PROBLEM
8 12972 KREIN SPACE//DEFINITIZABLE OPERATOR//ANAL TECH MATH
9 35563 SKI JUMPING//2 D VIDEOGRAPHY//EARLY FLIGHT PHASE
10 32445 ANISOTROPIC SINGULAR PERTURBATIONS//GENERALIZED INITIAL DATA//SHILOV PARABOLIC SYSTEMS WITH VARIABLE COEFFICIENTS

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