Class information for:
Level 1: FUNCTIONAL DIFFERENTIAL EQUATION OF HYPERBOLIC TYPE//SCI FUNCT DIFFERENTIAL EQUAT//LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
28057 215 15.3 20%



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
609 3       FIXED POINT//HYERS ULAM STABILITY//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 14179
2302 2             FIXED POINT//COMMON FIXED POINT//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 4535
28057 1                   FUNCTIONAL DIFFERENTIAL EQUATION OF HYPERBOLIC TYPE//SCI FUNCT DIFFERENTIAL EQUAT//LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS 215

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 FUNCTIONAL DIFFERENTIAL EQUATION OF HYPERBOLIC TYPE authKW 426075 1% 100% 3
2 SCI FUNCT DIFFERENTIAL EQUAT address 426075 1% 100% 3
3 LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS authKW 393294 3% 46% 6
4 FOURTH ORDER LINEAR HYPERBOLIC EQUATION authKW 284050 1% 100% 2
5 LINEAR FUNCTIONAL DIFFERENTIAL SYSTEM authKW 284050 1% 100% 2
6 NICOLETTI PROBLEM authKW 284050 1% 100% 2
7 SOLUTIONS IN THE SENSE OF CARATHEODORY authKW 284050 1% 100% 2
8 TRANSPORT SYST TECHNOL address 243463 3% 29% 6
9 SYMMETRICAL EQUATIONS authKW 189365 1% 67% 2
10 FUNCTIONAL DIFFERENTIAL INEQUALITIES authKW 182600 1% 43% 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 8222 83% 0% 179
2 Mathematics, Applied 4604 58% 0% 124
3 Computer Science, Software Engineering 13 2% 0% 5
4 Physics, Mathematical 12 3% 0% 6
5 Computer Science, Interdisciplinary Applications 8 2% 0% 5
6 Multidisciplinary Sciences 3 1% 0% 2
7 Mechanics 1 2% 0% 4
8 Mathematics, Interdisciplinary Applications 1 1% 0% 2
9 Engineering, General 1 1% 0% 2
10 Statistics & Probability 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 SCI FUNCT DIFFERENTIAL EQUAT 426075 1% 100% 3
2 TRANSPORT SYST TECHNOL 243463 3% 29% 6
3 A RAZMANDZE MATH 142025 0% 100% 1
4 DZHAVAKHISHVILI TBILISI STATE UNIV 142025 0% 100% 1
5 RAZMADE MATH 142025 0% 100% 1
6 BRANCH BRNO 124260 3% 13% 7
7 NUMER MATH PROGRAMMING 71012 0% 50% 1
8 RAZMADZE MATH 58096 1% 14% 3
9 MATH MATH SIMULAT 47340 0% 33% 1
10 AM RAZMADZE MATH 35505 0% 25% 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 41478 15% 1% 33
2 NONLINEAR OSCILLATIONS 14857 1% 3% 3
3 GEORGIAN MATHEMATICAL JOURNAL 14825 3% 1% 7
4 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 13677 4% 1% 9
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 13633 16% 0% 34
6 UKRAINIAN MATHEMATICAL JOURNAL 7124 3% 1% 7
7 DOKLADY MATHEMATICS 3750 4% 0% 9
8 BOUNDARY VALUE PROBLEMS 3390 3% 0% 6
9 CZECHOSLOVAK MATHEMATICAL JOURNAL 3093 3% 0% 7
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 1936 8% 0% 17

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 FUNCTIONAL DIFFERENTIAL EQUATION OF HYPERBOLIC TYPE 426075 1% 100% 3 Search FUNCTIONAL+DIFFERENTIAL+EQUATION+OF+HYPERBOLIC+TYPE Search FUNCTIONAL+DIFFERENTIAL+EQUATION+OF+HYPERBOLIC+TYPE
2 LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS 393294 3% 46% 6 Search LINEAR+FUNCTIONAL+DIFFERENTIAL+EQUATIONS Search LINEAR+FUNCTIONAL+DIFFERENTIAL+EQUATIONS
3 FOURTH ORDER LINEAR HYPERBOLIC EQUATION 284050 1% 100% 2 Search FOURTH+ORDER+LINEAR+HYPERBOLIC+EQUATION Search FOURTH+ORDER+LINEAR+HYPERBOLIC+EQUATION
4 LINEAR FUNCTIONAL DIFFERENTIAL SYSTEM 284050 1% 100% 2 Search LINEAR+FUNCTIONAL+DIFFERENTIAL+SYSTEM Search LINEAR+FUNCTIONAL+DIFFERENTIAL+SYSTEM
5 NICOLETTI PROBLEM 284050 1% 100% 2 Search NICOLETTI+PROBLEM Search NICOLETTI+PROBLEM
6 SOLUTIONS IN THE SENSE OF CARATHEODORY 284050 1% 100% 2 Search SOLUTIONS+IN+THE+SENSE+OF+CARATHEODORY Search SOLUTIONS+IN+THE+SENSE+OF+CARATHEODORY
7 SYMMETRICAL EQUATIONS 189365 1% 67% 2 Search SYMMETRICAL+EQUATIONS Search SYMMETRICAL+EQUATIONS
8 FUNCTIONAL DIFFERENTIAL INEQUALITIES 182600 1% 43% 3 Search FUNCTIONAL+DIFFERENTIAL+INEQUALITIES Search FUNCTIONAL+DIFFERENTIAL+INEQUALITIES
9 A PRIORI BOUNDEDNESS OF SOLUTIONS 142025 0% 100% 1 Search A+PRIORI+BOUNDEDNESS+OF+SOLUTIONS Search A+PRIORI+BOUNDEDNESS+OF+SOLUTIONS
10 AN EXTENSION OF DUGUNDJIS THEOREM 142025 0% 100% 1 Search AN+EXTENSION+OF+DUGUNDJIS+THEOREM Search AN+EXTENSION+OF+DUGUNDJIS+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 BRAVYI, E , (2011) ON THE SOLVABILITY OF THE PERIODIC PROBLEM FOR SYSTEMS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH REGULAR OPERATORS.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 59. P. 1 -16 15 100% 0
2 ASANOVA, AT , (2015) ON SOLVABILITY OF NONLINEAR BOUNDARY VALUE PROBLEMS WITH INTEGRAL CONDITION FOR THE SYSTEM OF HYPERBOLIC EQUATIONS.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 63. P. - 12 86% 0
3 ASANOVA, AT , DZHUMABAEV, DS , (2013) WELL-POSEDNESS OF NONLOCAL BOUNDARY VALUE PROBLEMS WITH INTEGRAL CONDITION FOR THE SYSTEM OF HYPERBOLIC EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 402. ISSUE 1. P. 167 -178 10 100% 2
4 BRAVYI, EI , (2015) SOLVABILITY OF THE PERIODIC PROBLEM FOR HIGHER-ORDER LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS.DIFFERENTIAL EQUATIONS. VOL. 51. ISSUE 5. P. 571 -585 9 100% 1
5 BRAVYI, E , (2011) ON THE SOLVABILITY OF PERTURBATIONS OF LINEAR BOUNDARY VALUE PROBLEMS AT RESONANCE FOR FUNCTIONAL DIFFERENTIAL EQUATIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 74. ISSUE 17. P. 6387 -6396 10 100% 0
6 BRAVYI, E , (2016) ON SOLVABILITY OF PERIODIC BOUNDARY VALUE PROBLEMS FOR SECOND ORDER LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS.ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE 5. P. 1 -18 14 64% 0
7 LOMTATIDZE, A , SREMR, J , (2014) CARATHEODORY SOLUTIONS TO A HYPERBOLIC DIFFERENTIAL INEQUALITY WITH A NON-POSITIVE COEFFICIENT AND DELAYED ARGUMENTS.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 9 100% 0
8 KIGURADZE, I , KIGURADZE, T , (2008) ON SOLVABILITY OF BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER NONLINEAR HYPERBOLIC EQUATIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 69. ISSUE 7. P. 1914-1933 11 92% 4
9 MUKHIGULASHVILI, S , PARTSVANIA, N , PUZA, B , (2011) ON A PERIODIC PROBLEM FOR HIGHER-ORDER DIFFERENTIAL EQUATIONS WITH A DEVIATING ARGUMENT.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 74. ISSUE 10. P. 3232 -3241 10 77% 2
10 KIGURADZE, I , PARTSVANIA, N , PUZA, B , (2008) ON PERIODIC SOLUTIONS OF HIGHER-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. - 8 100% 3

Classes with closest relation at Level 1



Rank Class id link
1 32309 PICARD OPERATOR//STEP METHOD//FIBRE CONTRACTION PRINCIPLE
2 34512 EDPNL HIST MATH//NON REGULAR DOMAINS//PROBLEMS WITHOUT INITIAL CONDITION
3 6703 PERIODIC SOLUTION//DEVIATING ARGUMENT//BOUNDEDNESS OF SOLUTIONS
4 24073 QUASINORMAL FORM//DIFFUSION CHAOS//DYNAMICS OF THE LOGISTIC DELAY EQUATION
5 9809 MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//PERIODIC BOUNDARY VALUE PROBLEM
6 29888 KELVIN VOIGT FLUID//DEGENERATE SEMIGROUP OF OPERATORS//GENERALIZED SHOWALTER SIDOROV PROBLEM
7 31591 INTERVAL OF DEGENERACY//TIME DEPENDENT HEAT TRANSFER//ACCELERATED PLATE
8 12909 VOLTERRA DIFFERENCE EQUATIONS//ASYMPTOTIC EQUILIBRIUM//DISCRETE VOLTERRA EQUATIONS
9 23002 PICONE TYPE INEQUALITY//PICONE IDENTITY//STURMIAN COMPARISON THEOREM
10 23194 MULTIPLE DEVIATING ARGUMENTS//LIENARD SYSTEM//BOUNDEDNESS

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