Class information for:
Level 1: SEMIREGULAR SOLUTION//DISCONTINUOUS NONLINEARITIES//POTENTIAL BOUNDS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
30482 168 14.4 23%


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
905 2             POSITIVE SOLUTION//PERIODIC SOLUTION//FIXED POINT INDEX 11262
30482 1                   SEMIREGULAR SOLUTION//DISCONTINUOUS NONLINEARITIES//POTENTIAL BOUNDS 168

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 SEMIREGULAR SOLUTION authKW 727035 2% 100% 4
2 DISCONTINUOUS NONLINEARITIES authKW 610767 10% 20% 17
3 POTENTIAL BOUNDS authKW 408956 2% 75% 3
4 COMPLEMENTARY BOUNDARY PROBLEM authKW 181759 1% 100% 1
5 CONE SEMIORDERING authKW 181759 1% 100% 1
6 CONTINUOUS BRANCH OF SOLUTIONS authKW 181759 1% 100% 1
7 DATA COMMUN PROBLEM address 181759 1% 100% 1
8 ELASTO ORTHOTROPIC PLATE authKW 181759 1% 100% 1
9 EQUATIONS OF ELLIPTIC TYPE authKW 181759 1% 100% 1
10 FIRST RETURN FUNCTION authKW 181759 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 2842 56% 0% 94
2 Mathematics, Applied 2617 49% 0% 83
3 Computer Science, Cybernetics 321 4% 0% 7
4 Mathematical & Computational Biology 197 7% 0% 11
5 Multidisciplinary Sciences 91 4% 0% 7
6 Biology 73 7% 0% 11
7 Computer Science, Artificial Intelligence 14 3% 0% 5
8 Mathematics, Interdisciplinary Applications 12 2% 0% 4
9 Computer Science, Theory & Methods 12 3% 0% 5
10 Automation & Control Systems 8 2% 0% 3

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 DATA COMMUN PROBLEM 181759 1% 100% 1
2 MOSCOW ELECT ENGN MATH 181759 1% 100% 1
3 NATURWISSEN FAK MATH 1 45438 1% 25% 1
4 SE FO T EXPT STN 12981 1% 7% 1
5 NWF MATH 1 8756 1% 2% 2
6 PROBLEMS DATA TRANSMISS 6989 1% 4% 1
7 INFORMAT TRANSMISS PROBLEMS 5454 4% 1% 6
8 ANAL GEOMETRIE PLICAT 3969 1% 1% 2
9 SCI ENGN ARCHITECTURE 3079 1% 2% 1
10 CNRS UMR 7539 2883 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 DIFFERENTIAL EQUATIONS 9541 8% 0% 14
2 JOURNAL OF MATHEMATICAL BIOLOGY 5007 5% 0% 8
3 JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL 4309 3% 0% 5
4 SIAM JOURNAL ON APPLIED MATHEMATICS 2575 4% 0% 7
5 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 2523 4% 0% 6
6 MATHEMATICAL ENGINEERING IN INDUSTRY 2488 1% 1% 1
7 IMA JOURNAL OF APPLIED MATHEMATICS 2006 2% 0% 4
8 FIXED POINT THEORY 1832 1% 1% 2
9 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 1549 2% 0% 4
10 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 1497 6% 0% 10

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 SEMIREGULAR SOLUTION 727035 2% 100% 4 Search SEMIREGULAR+SOLUTION Search SEMIREGULAR+SOLUTION
2 DISCONTINUOUS NONLINEARITIES 610767 10% 20% 17 Search DISCONTINUOUS+NONLINEARITIES Search DISCONTINUOUS+NONLINEARITIES
3 POTENTIAL BOUNDS 408956 2% 75% 3 Search POTENTIAL+BOUNDS Search POTENTIAL+BOUNDS
4 COMPLEMENTARY BOUNDARY PROBLEM 181759 1% 100% 1 Search COMPLEMENTARY+BOUNDARY+PROBLEM Search COMPLEMENTARY+BOUNDARY+PROBLEM
5 CONE SEMIORDERING 181759 1% 100% 1 Search CONE+SEMIORDERING Search CONE+SEMIORDERING
6 CONTINUOUS BRANCH OF SOLUTIONS 181759 1% 100% 1 Search CONTINUOUS+BRANCH+OF+SOLUTIONS Search CONTINUOUS+BRANCH+OF+SOLUTIONS
7 ELASTO ORTHOTROPIC PLATE 181759 1% 100% 1 Search ELASTO+ORTHOTROPIC+PLATE Search ELASTO+ORTHOTROPIC+PLATE
8 EQUATIONS OF ELLIPTIC TYPE 181759 1% 100% 1 Search EQUATIONS+OF+ELLIPTIC+TYPE Search EQUATIONS+OF+ELLIPTIC+TYPE
9 FIRST RETURN FUNCTION 181759 1% 100% 1 Search FIRST+RETURN+FUNCTION Search FIRST+RETURN+FUNCTION
10 FISHER APPROXIMATION 181759 1% 100% 1 Search FISHER+APPROXIMATION Search FISHER+APPROXIMATION

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 POTAPOV, DK , (2013) OPTIMAL CONTROL OF HIGHER ORDER ELLIPTIC DISTRIBUTED SYSTEMS WITH A SPECTRAL PARAMETER AND DISCONTINUOUS NONLINEARITY.JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL. VOL. 52. ISSUE 2. P. 180-185 9 82% 3
2 PAVLENKO, VN , (2016) STRONG SOLUTIONS OF PERIODIC PARABOLIC PROBLEMS WITH DISCONTINUOUS NONLINEARITIES.DIFFERENTIAL EQUATIONS. VOL. 52. ISSUE 4. P. 505 -516 8 80% 0
3 POTAPOV, DK , (2015) EXISTENCE OF SOLUTIONS, ESTIMATES FOR THE DIFFERENTIAL OPERATOR, AND A "SEPARATING" SET IN A BOUNDARY VALUE PROBLEM FOR A SECOND-ORDER DIFFERENTIAL EQUATION WITH A DISCONTINUOUS NONLINEARITY.DIFFERENTIAL EQUATIONS. VOL. 51. ISSUE 7. P. 967 -972 6 86% 3
4 PAVLENKO, VN , POTAPOV, DK , (2015) THE EXISTENCE OF SEMIREGULAR SOLUTIONS TO ELLIPTIC SPECTRAL PROBLEMS WITH DISCONTINUOUS NONLINEARITIES.SBORNIK MATHEMATICS. VOL. 206. ISSUE 9. P. 1281 -1298 9 56% 1
5 POTAPOV, DK , YEVSTAFYEVA, VV , (2013) LAVRENT'EV PROBLEM FOR SEPARATED FLOWS WITH AN EXTERNAL PERTURBATION.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 5 100% 2
6 POTAPOV, DK , (2012) ON A CLASS OF ELLIPTIC VARIATIONAL INEQUALITIES WITH A SPECTRAL PARAMETER AND DISCONTINUOUS NONLINEARITY.SIBERIAN MATHEMATICAL JOURNAL. VOL. 53. ISSUE 1. P. 168-173 5 100% 0
7 POTAPOV, DK , (2011) BIFURCATION PROBLEMS FOR EQUATIONS OF ELLIPTIC TYPE WITH DISCONTINUOUS NONLINEARITIES.MATHEMATICAL NOTES. VOL. 90. ISSUE 1-2. P. 260-264 5 100% 3
8 KAMACHKIN, AM , POTAPOV, DK , YEVSTAFYEVA, VV , (2016) NON-EXISTENCE OF PERIODIC SOLUTIONS TO NON-AUTONOMOUS SECOND-ORDER DIFFERENTIAL EQUATION WITH DISCONTINUOUS NONLINEARITY.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 5 83% 0
9 POTAPOV, DK , (2013) SPECTRAL PROBLEMS FOR VARIATIONAL INEQUALITIES WITH DISCONTINUOUS OPERATORS.MATHEMATICAL NOTES. VOL. 93. ISSUE 1-2. P. 288-296 5 83% 0
10 DEGUCHI, H , (2009) EXISTENCE, UNIQUENESS AND STABILITY OF WEAK SOLUTIONS OF PARABOLIC SYSTEMS WITH DISCONTINUOUS NONLINEARITIES.MONATSHEFTE FUR MATHEMATIK. VOL. 156. ISSUE 3. P. 211 -231 6 75% 1

Classes with closest relation at Level 1


Rank Class id link
1 25647 PROPAGATION FAILURE//LATTICE DIFFERENTIAL EQUATIONS//MIXED TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS
2 22267 DISCONTINUOUS SELECTIONS//IMPLICIT ELLIPTIC EQUATIONS//DISCONTINUOUS DIFFERENTIAL EQUATIONS
3 14605 SWEEPING PROCESS//DIFFERENTIAL INCLUSIONS//CONTINUOUS SELECTOR
4 19784 THERMOPOWER WAVES//VARIABLE PRE EXPONENTIAL FACTOR//CHEMICAL FUEL
5 24203 EXACT MULTIPLICITY//TIME MAP//S SHAPED BIFURCATION CURVE
6 22762 TWO PHASE CONDUCTORS//REARRANGEMENTS OF A FUNCTION//NANOSTRUCTURED QUANTUM DOTS
7 28617 JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL//CONTROLLABLE SERVICE TIMES//REAL TIME CONSTRAINTS
8 30597 FREE SPANNING SUBMARINE PIPELINES//GENERALIZED NAGHDI MODEL//MATH MODELLING TECHNOL PROC
9 20055 SMOLDERING//FILTRATION COMBUSTION//SMOLDERING COMBUSTION
10 32243 LOCAL MINIMAX METHOD//MULTIPLE SADDLE POINTS//GNGA

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