Class information for:
Level 1: THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO INTEGRAL VOLTERRA EQUATIONS//NONLINEAR VOLTERRA INTEGRAL EQUATIONS//GENERALIZED OSGOOD CONDITION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
26599 250 14.1 34%



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
26599 1                   THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO INTEGRAL VOLTERRA EQUATIONS//NONLINEAR VOLTERRA INTEGRAL EQUATIONS//GENERALIZED OSGOOD CONDITION 250

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 THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO INTEGRAL VOLTERRA EQUATIONS authKW 366424 1% 100% 3
2 NONLINEAR VOLTERRA INTEGRAL EQUATIONS authKW 249362 3% 29% 7
3 GENERALIZED OSGOOD CONDITION authKW 244283 1% 100% 2
4 NONLINEAR INTEGRAL VOLTERRA EQUATIONS authKW 244283 1% 100% 2
5 TRIVIAL SOLUTIONS authKW 244283 1% 100% 2
6 PHOTON TRANSPORT authKW 182283 4% 15% 10
7 BRANCH SLIVEN address 162854 1% 67% 2
8 THERMAL BLOW UP authKW 162854 1% 67% 2
9 45M20 authKW 122141 0% 100% 1
10 A SYSTEM OF NONLINEAR VOLTERRA INTEGRAL EQUATIONS authKW 122141 0% 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, Applied 3926 50% 0% 124
2 Mathematics 1729 36% 0% 91
3 Physics, Multidisciplinary 61 9% 0% 22
4 Multidisciplinary Sciences 57 3% 0% 7
5 Physics, Mathematical 55 5% 0% 12
6 Physics, Fluids & Plasmas 50 4% 0% 10
7 Engineering, General 22 3% 0% 7
8 Materials Science, Coatings & Films 18 2% 0% 6
9 Physics, Condensed Matter 16 6% 0% 16
10 Electrochemistry 11 2% 0% 6

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 BRANCH SLIVEN 162854 1% 67% 2
2 DIPARTIMENTO DAEIMI 122141 0% 100% 1
3 SIBERIAN PHYSICOCHIM 122141 0% 100% 1
4 DIPARTIMENTO INGN CICILE 61070 0% 50% 1
5 ETSI AERONAUTICOS 40712 0% 33% 1
6 ATSUGI SEMICOND 30534 0% 25% 1
7 WYDZIAL FIZ TECH MATEMAT STOSOWANEJ 30534 0% 25% 1
8 INFORMAT MATH E STUDIES 24427 0% 20% 1
9 ANALISE MATEMAT 21238 1% 9% 2
10 MATH COMP SCI ECONOMETR 17384 3% 2% 7

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 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 10849 2% 2% 4
2 TRANSPORT THEORY AND STATISTICAL PHYSICS 4444 2% 1% 4
3 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 4093 4% 0% 11
4 IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK 2712 0% 2% 1
5 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2578 6% 0% 16
6 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 2386 2% 0% 6
7 ACTA PHYSICA POLONICA A 2052 6% 0% 14
8 SEMICONDUCTORS 1800 4% 0% 10
9 DYNAMIC SYSTEMS AND APPLICATIONS 1742 1% 0% 3
10 SIAM JOURNAL ON APPLIED MATHEMATICS 1726 3% 0% 7

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 THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO INTEGRAL VOLTERRA EQUATIONS 366424 1% 100% 3 Search THE+EXISTENCE+AND+UNIQUENESS+OF+SOLUTIONS+TO+INTEGRAL+VOLTERRA+EQUATIONS Search THE+EXISTENCE+AND+UNIQUENESS+OF+SOLUTIONS+TO+INTEGRAL+VOLTERRA+EQUATIONS
2 NONLINEAR VOLTERRA INTEGRAL EQUATIONS 249362 3% 29% 7 Search NONLINEAR+VOLTERRA+INTEGRAL+EQUATIONS Search NONLINEAR+VOLTERRA+INTEGRAL+EQUATIONS
3 GENERALIZED OSGOOD CONDITION 244283 1% 100% 2 Search GENERALIZED+OSGOOD+CONDITION Search GENERALIZED+OSGOOD+CONDITION
4 NONLINEAR INTEGRAL VOLTERRA EQUATIONS 244283 1% 100% 2 Search NONLINEAR+INTEGRAL+VOLTERRA+EQUATIONS Search NONLINEAR+INTEGRAL+VOLTERRA+EQUATIONS
5 TRIVIAL SOLUTIONS 244283 1% 100% 2 Search TRIVIAL+SOLUTIONS Search TRIVIAL+SOLUTIONS
6 PHOTON TRANSPORT 182283 4% 15% 10 Search PHOTON+TRANSPORT Search PHOTON+TRANSPORT
7 THERMAL BLOW UP 162854 1% 67% 2 Search THERMAL+BLOW+UP Search THERMAL+BLOW+UP
8 45M20 122141 0% 100% 1 Search 45M20 Search 45M20
9 A SYSTEM OF NONLINEAR VOLTERRA INTEGRAL EQUATIONS 122141 0% 100% 1 Search A+SYSTEM+OF+NONLINEAR+VOLTERRA+INTEGRAL+EQUATIONS Search A+SYSTEM+OF+NONLINEAR+VOLTERRA+INTEGRAL+EQUATIONS
10 ABEL TYPE NONLINEAR INTEGRAL EQUATIONS 122141 0% 100% 1 Search ABEL+TYPE+NONLINEAR+INTEGRAL+EQUATIONS Search ABEL+TYPE+NONLINEAR+INTEGRAL+EQUATIONS

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 MYDLARCZYK, W , (2017) A SYSTEM OF VOLTERRA INTEGRAL EQUATIONS WITH BLOWING UP SOLUTIONS.COLLOQUIUM MATHEMATICUM. VOL. 146. ISSUE 1. P. 99 -110 10 100% 0
2 BRUNNER, H , YANG, ZW , (2012) BLOW-UP BEHAVIOR OF HAMMERSTEIN-TYPE VOLTERRA INTEGRAL EQUATIONS.JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS. VOL. 24. ISSUE 4. P. 487-512 15 71% 3
3 BENITEZ, R , BOLOS, VJ , (2015) BLOW-UP COLLOCATION SOLUTIONS OF NONLINEAR HOMOGENEOUS VOLTERRA INTEGRAL EQUATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 256. ISSUE . P. 754 -768 11 85% 0
4 MALOLEPSZY, T , (2011) NONLINEAR VOLTERRA INTEGRAL EQUATIONS AND THE SCHRODER FUNCTIONAL EQUATION.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 74. ISSUE 2. P. 424 -432 9 100% 3
5 MALOLEPSZY, T , OKRASINSKI, W , (2010) BLOW-UP TIME FOR SOLUTIONS TO SOME NONLINEAR VOLTERRA INTEGRAL EQUATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 366. ISSUE 1. P. 372-384 9 100% 4
6 MYDLARCZYK, W , (2015) A MULTIPLE NONLINEAR ABEL TYPE INTEGRAL EQUATION.JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS. VOL. 27. ISSUE 4. P. 555 -572 8 100% 0
7 JANAVICIUS, AJ , TURSKIENE, S , (2016) NONLINEAR DIFFUSION IN CUBIC CRYSTALS.ROMANIAN JOURNAL OF PHYSICS. VOL. 61. ISSUE 7-8. P. 1245 -1254 7 100% 0
8 ARIAS, MR , CASTILLO, JMF , (2001) EIGENVALUE TECHNIQUES IN NONLINEAR VOLTERRA EQUATIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 47. ISSUE 4. P. 2225-2236 10 100% 0
9 JANAVICIUS, AJ , TURSKIENE, S , (2013) NONLINEAR DIFFUSION IN A PLANE SURFACE.CANADIAN JOURNAL OF PHYSICS. VOL. 91. ISSUE 12. P. 1057 -1061 7 100% 1
10 ARIAS, MR , BENITEZ, R , (2003) ASPECTS OF THE BEHAVIOUR OF SOLUTIONS OF NONLINEAR ABEL EQUATIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 54. ISSUE 7. P. 1241-1249 9 100% 3

Classes with closest relation at Level 1



Rank Class id link
1 2307 BLOW UP//BLOW UP RATE//NONLOCAL SOURCE
2 18863 MEASURE OF NONCOMPACTNESS//QUADRATIC INTEGRAL EQUATION//FUNCTIONAL INTEGRAL EQUATION
3 35626 BINARY MOISTURE//HYGROTHERMOELASTICITY//CLIMB CREEP
4 22267 DISCONTINUOUS SELECTIONS//IMPLICIT ELLIPTIC EQUATIONS//DISCONTINUOUS DIFFERENTIAL EQUATIONS
5 36216 MELENTIEV ENERGY SYST//MELENTEV POWER ENGN SYST//POWER ENGN SYST
6 28993 MEAN ERGODIC OPERATOR//POWER BOUNDED OPERATOR//COHOMOLOGY EQUATION
7 22713 CONE SPECTRAL RADIUS//DENJOY WOLFF THEOREMS//CONCAVE OPERATOR
8 29635 SOVIET PHYSICS SEMICONDUCTORS-USSR//AIII B V//AMORPHOUS SILICON GERMANIUM MOBILITY GAP PROFILE
9 19784 THERMOPOWER WAVES//VARIABLE PRE EXPONENTIAL FACTOR//CHEMICAL FUEL
10 15087 INVERSE RADIATION PROBLEM//FLAME MONITORING//INVERSE RADIATION ANALYSIS

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