Class information for:
Level 1: MELENTIEV ENERGY SYST//MELENTEV POWER ENGN SYST//POWER ENGN SYST

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
36216 84 16.0 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
145 3       MATHEMATICS, APPLIED//SIAM JOURNAL ON NUMERICAL ANALYSIS//FRACTIONAL DIFFERENTIAL EQUATIONS 63904
2845 2             VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//BLOCK PULSE FUNCTIONS 2956
36216 1                   MELENTIEV ENERGY SYST//MELENTEV POWER ENGN SYST//POWER ENGN SYST 84

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 MELENTIEV ENERGY SYST address 2379391 14% 55% 12
2 MELENTEV POWER ENGN SYST address 1938767 10% 67% 8
3 POWER ENGN SYST address 727039 2% 100% 2
4 VOLTERRA TYPE EQUATION authKW 727039 2% 100% 2
5 BRANCHING SOLUTION authKW 363520 1% 100% 1
6 CHANGE OF TIME VARIABLE authKW 363520 1% 100% 1
7 CONTINUOUS LEADS authKW 363520 1% 100% 1
8 DEVELOPING SYSTEM authKW 363520 1% 100% 1
9 EVOLVING DYNAMICAL SYSTEMS authKW 363520 1% 100% 1
10 EXTENDED WEAK MINIMUM authKW 363520 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, Applied 1690 56% 0% 47
2 Automation & Control Systems 789 20% 0% 17
3 Mathematics 289 26% 0% 22
4 Instruments & Instrumentation 257 18% 0% 15
5 Operations Research & Management Science 175 11% 0% 9
6 Mechanics 68 11% 0% 9
7 Multidisciplinary Sciences 61 5% 0% 4
8 Physics, Mathematical 18 5% 0% 4
9 Statistics & Probability 5 2% 0% 2
10 Computer Science, Hardware & Architecture 2 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 MELENTIEV ENERGY SYST 2379391 14% 55% 12
2 MELENTEV POWER ENGN SYST 1938767 10% 67% 8
3 POWER ENGN SYST 727039 2% 100% 2
4 FOUMAN SHAFT BRANCH 60585 1% 17% 1
5 MATH ECON INFORMAT 60585 1% 17% 1
6 CENT MATH ECON 24233 1% 7% 1
7 INRIA SACLAY 13586 2% 2% 2
8 SYST DYNAM CONTROL THEORY 13403 4% 1% 3
9 SIBERIAN BRANCH 8487 29% 0% 24
10 CENT ECON MATH 8165 2% 1% 2

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 AUTOMATION AND REMOTE CONTROL 21822 18% 0% 15
2 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 5814 11% 0% 9
3 ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 3670 8% 0% 7
4 DIFFERENTIAL EQUATIONS 3503 7% 0% 6
5 APPLIED MATHEMATICS & INFORMATION SCIENCES 2802 4% 0% 3
6 SET-VALUED AND VARIATIONAL ANALYSIS 1424 1% 0% 1
7 MATHEMATICAL COMMUNICATIONS 1130 1% 0% 1
8 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 997 1% 0% 1
9 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 952 1% 0% 1
10 MATHEMATICS OF THE USSR-IZVESTIYA 738 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 VOLTERRA TYPE EQUATION 727039 2% 100% 2 Search VOLTERRA+TYPE+EQUATION Search VOLTERRA+TYPE+EQUATION
2 BRANCHING SOLUTION 363520 1% 100% 1 Search BRANCHING+SOLUTION Search BRANCHING+SOLUTION
3 CHANGE OF TIME VARIABLE 363520 1% 100% 1 Search CHANGE+OF+TIME+VARIABLE Search CHANGE+OF+TIME+VARIABLE
4 CONTINUOUS LEADS 363520 1% 100% 1 Search CONTINUOUS+LEADS Search CONTINUOUS+LEADS
5 DEVELOPING SYSTEM 363520 1% 100% 1 Search DEVELOPING+SYSTEM Search DEVELOPING+SYSTEM
6 EVOLVING DYNAMICAL SYSTEMS 363520 1% 100% 1 Search EVOLVING+DYNAMICAL+SYSTEMS Search EVOLVING+DYNAMICAL+SYSTEMS
7 EXTENDED WEAK MINIMUM 363520 1% 100% 1 Search EXTENDED+WEAK+MINIMUM Search EXTENDED+WEAK+MINIMUM
8 FREDHOLM POINT 363520 1% 100% 1 Search FREDHOLM+POINT Search FREDHOLM+POINT
9 IMPULSIVE VOLTERRA INTEGRAL EQUATIONS 363520 1% 100% 1 Search IMPULSIVE+VOLTERRA+INTEGRAL+EQUATIONS Search IMPULSIVE+VOLTERRA+INTEGRAL+EQUATIONS
10 INFINITE ODE SYSTEMS 363520 1% 100% 1 Search INFINITE+ODE+SYSTEMS Search INFINITE+ODE+SYSTEMS

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 SIDOROV, NA , SIDOROV, DN , (2014) ON THE SOLVABILITY OF A CLASS OF VOLTERRA OPERATOR EQUATIONS OF THE FIRST KIND WITH PIECEWISE CONTINUOUS KERNELS.MATHEMATICAL NOTES. VOL. 96. ISSUE 5-6. P. 811 -826 10 100% 0
2 APARTSIN, AS , SIDLER, IV , (2013) USING THE NONCLASSICAL VOLTERRA EQUATIONS OF THE FIRST KIND TO MODEL THE DEVELOPING SYSTEMS.AUTOMATION AND REMOTE CONTROL. VOL. 74. ISSUE 6. P. 899-910 8 100% 2
3 SIDOROV, DN , (2014) GENERALIZED SOLUTION TO THE VOLTERRA EQUATIONS WITH PIECEWISE CONTINUOUS KERNELS.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 37. ISSUE 3. P. 757 -768 6 100% 1
4 APARTSYN, AS , (2014) ON SOME CLASSES OF LINEAR VOLTERRA INTEGRAL EQUATIONS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 7 78% 1
5 DMITRUK, AV , OSMOLOVSKII, NP , (2015) NECESSARY CONDITIONS FOR A WEAK MINIMUM IN OPTIMAL CONTROL PROBLEMS WITH INTEGRAL EQUATIONS ON A VARIABLE TIME INTERVAL.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. VOL. 35. ISSUE 9. P. 4323 -4343 6 75% 1
6 APARTSIN, AS , (2013) POLYNOMIAL VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND AND THE LAMBERT FUNCTION.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 280. ISSUE . P. 26-38 6 75% 0
7 MALEKNEJAD, K , EBRAHIMZADEH, A , (2014) AN EFFICIENT HYBRID PSEUDO-SPECTRAL METHOD FOR SOLVING OPTIMAL CONTROL OF VOLTERRA INTEGRAL SYSTEMS.MATHEMATICAL COMMUNICATIONS. VOL. 19. ISSUE 2. P. 417 -435 7 58% 0
8 DMITRUK, AV , OSMOLOVSKII, NP , (2014) NECESSARY CONDITIONS FOR A WEAK MINIMUM IN OPTIMAL CONTROL PROBLEMS WITH INTEGRAL EQUATIONS SUBJECT TO STATE AND MIXED CONSTRAINTS.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 52. ISSUE 6. P. 3437 -3462 5 71% 1
9 BELBAS, SA , (2008) A REDUCTION METHOD FOR OPTIMAL CONTROL OF VOLTERRA INTEGRAL EQUATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 197. ISSUE 2. P. 880 -890 4 100% 4
10 MUFTAHOV, I , TYNDA, A , SIDOROV, D , (2017) NUMERIC SOLUTION OF VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND WITH DISCONTINUOUS KERNELS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 313. ISSUE . P. 119 -128 4 80% 0

Classes with closest relation at Level 1


Rank Class id link
1 31810 BEST PARAMETERS//BARBASHIN TYPE EQUATIONS//FUNCTIONALS WITH DEVIATING ARGUMENTS
2 5428 VOLTERRA INTEGRAL EQUATION//WEAKLY SINGULAR KERNEL//FREDHOLM INTEGRAL EQUATION
3 21756 VINTAGE CAPITAL MODELS//EQUIPMENT REPLACEMENT//VINTAGE CAPITAL
4 21700 MICHAELIS MENTEN REACTION//PROGRESS CURVE ANALYSIS//MICHAELIS MENTEN EQUATION
5 20798 TURNPIKE PROPERTY//GOOD FUNCTION//INFINITE HORIZON PROBLEMS
6 19397 NORMAL NECESSARY CONDITIONS//DISCRETE APPROXIMATIONS//MIXED CONSTRAINTS
7 29888 KELVIN VOIGT FLUID//DEGENERATE SEMIGROUP OF OPERATORS//GENERALIZED SHOWALTER SIDOROV PROBLEM
8 12210 BLOCK PULSE//HYBRID FUNCTIONS//INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
9 33019 DYNAMICS OF THE FIRM//ASNT LEVEL RT 3//DECOMPOSITION OF SERIAL SYSTEMS
10 5836 STATE CONSTRAINTS//OPTIMAL CONTROL PROBLEM//OPTIMAL CONTROL

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