Class information for:
Level 1: MILD SOLUTION//NONLOCAL CONDITION//APPROXIMATE CONTROLLABILITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3936 1877 22.1 42%


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
3936 1                   MILD SOLUTION//NONLOCAL CONDITION//APPROXIMATE CONTROLLABILITY 1877

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 MILD SOLUTION authKW 2070264 14% 49% 259
2 NONLOCAL CONDITION authKW 1510914 8% 61% 153
3 APPROXIMATE CONTROLLABILITY authKW 1382261 8% 59% 144
4 INFINITE DELAY authKW 694815 6% 40% 106
5 CONTROLLABILITY authKW 453395 12% 13% 217
6 ANALYTIC SEMIGROUP authKW 426936 4% 39% 67
7 STATE DEPENDENT DELAY authKW 271438 3% 32% 52
8 NONLOCAL INITIAL CONDITION authKW 260742 1% 70% 23
9 RESOLVENT OPERATOR authKW 248253 3% 29% 53
10 COMPACT SEMIGROUP authKW 236410 1% 58% 25

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 63253 72% 0% 1351
2 Mathematics 32615 57% 0% 1064
3 Automation & Control Systems 4322 10% 0% 192
4 Operations Research & Management Science 746 5% 0% 93
5 Statistics & Probability 369 4% 0% 74
6 Mathematics, Interdisciplinary Applications 317 3% 0% 64
7 Computer Science, Cybernetics 207 1% 0% 20
8 Engineering, General 72 2% 0% 38
9 Physics, Mathematical 55 2% 0% 42
10 Mechanics 4 2% 0% 30

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 COMP MATEMAT 84962 1% 33% 16
2 SARDAR VAL HBHAI PATEL TECHNOL 65066 0% 100% 4
3 STOCHAST MODELS STAT PLICAT 65066 0% 100% 4
4 THEORY INFORMAT 52051 0% 80% 4
5 MATH 34063 50% 0% 940
6 CHERNOVITSKII 32533 0% 100% 2
7 HIGHER ENGN 31872 0% 28% 7
8 COMPUTACAO MATEMAT 27104 0% 33% 5
9 MAINEGE 24397 0% 50% 3
10 CIENCIAS MATEMAT SAO CARLOS 23415 0% 24% 6

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 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 42660 9% 1% 178
2 ADVANCES IN DIFFERENCE EQUATIONS 28298 3% 3% 61
3 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 25157 4% 2% 69
4 JOURNAL OF INTEGRAL EQUATIONS 23947 1% 11% 14
5 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 22320 2% 4% 34
6 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 17687 1% 8% 14
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 16582 8% 1% 147
8 DYNAMIC SYSTEMS AND APPLICATIONS 16115 1% 4% 25
9 NONLINEAR ANALYSIS-HYBRID SYSTEMS 10621 1% 3% 19
10 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 9993 3% 1% 56

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 MILD SOLUTION 2070264 14% 49% 259 Search MILD+SOLUTION Search MILD+SOLUTION
2 NONLOCAL CONDITION 1510914 8% 61% 153 Search NONLOCAL+CONDITION Search NONLOCAL+CONDITION
3 APPROXIMATE CONTROLLABILITY 1382261 8% 59% 144 Search APPROXIMATE+CONTROLLABILITY Search APPROXIMATE+CONTROLLABILITY
4 INFINITE DELAY 694815 6% 40% 106 Search INFINITE+DELAY Search INFINITE+DELAY
5 CONTROLLABILITY 453395 12% 13% 217 Search CONTROLLABILITY Search CONTROLLABILITY
6 ANALYTIC SEMIGROUP 426936 4% 39% 67 Search ANALYTIC+SEMIGROUP Search ANALYTIC+SEMIGROUP
7 STATE DEPENDENT DELAY 271438 3% 32% 52 Search STATE+DEPENDENT+DELAY Search STATE+DEPENDENT+DELAY
8 NONLOCAL INITIAL CONDITION 260742 1% 70% 23 Search NONLOCAL+INITIAL+CONDITION Search NONLOCAL+INITIAL+CONDITION
9 RESOLVENT OPERATOR 248253 3% 29% 53 Search RESOLVENT+OPERATOR Search RESOLVENT+OPERATOR
10 COMPACT SEMIGROUP 236410 1% 58% 25 Search COMPACT+SEMIGROUP Search COMPACT+SEMIGROUP

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 KLAMKA, J , BABIARZ, A , NIEZABITOWSKI, M , (2016) BANACH FIXED-POINT THEOREM IN SEMILINEAR CONTROLLABILITY PROBLEMS - A SURVEY.BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES. VOL. 64. ISSUE 1. P. 21 -35 50 85% 7
2 BABIARZ, A , NIEZABITOWSKI, A , (2017) CONTROLLABILITY PROBLEM OF FRACTIONAL NEUTRAL SYSTEMS: A SURVEY.MATHEMATICAL PROBLEMS IN ENGINEERING. VOL. . ISSUE . P. - 39 81% 0
3 YAN, ZM , LU, FX , (2017) APPROXIMATE CONTROLLABILITY OF A MULTI-VALUED FRACTIONAL IMPULSIVE STOCHASTIC PARTIAL INTEGRO-DIFFERENTIAL EQUATION WITH INFINITE DELAY.APPLIED MATHEMATICS AND COMPUTATION. VOL. 292. ISSUE . P. 425 -447 31 97% 0
4 MAHMUDOV, NI , VIJAYAKUMAR, V , MURUGESU, R , (2016) APPROXIMATE CONTROLLABILITY OF SECOND-ORDER EVOLUTION DIFFERENTIAL INCLUSIONS IN HILBERT SPACES.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 5. P. 3433 -3454 31 91% 1
5 SAKTHIVEL, R , GANESH, R , SUGANYA, S , (2012) APPROXIMATE CONTROLLABILITY OF FRACTIONAL NEUTRAL STOCHASTIC SYSTEM WITH INFINITE DELAY.REPORTS ON MATHEMATICAL PHYSICS. VOL. 70. ISSUE 3. P. 291-311 30 94% 37
6 MAHMUDOV, NI , (2013) APPROXIMATE CONTROLLABILITY OF SOME NONLINEAR SYSTEMS IN BANACH SPACES.BOUNDARY VALUE PROBLEMS. VOL. . ISSUE . P. 1-13 34 92% 3
7 FU, XL , LU, JH , YOU, YC , (2014) APPROXIMATE CONTROLLABILITY OF SEMILINEAR NEUTRAL EVOLUTION SYSTEMS WITH DELAY.INTERNATIONAL JOURNAL OF CONTROL. VOL. 87. ISSUE 4. P. 665 -681 32 91% 2
8 BALASUBRAMANIAM, P , TAMILALAGAN, P , (2015) APPROXIMATE CONTROLLABILITY OF A CLASS OF FRACTIONAL NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL INCLUSIONS WITH INFINITE DELAY BY USING MAINARDI'S FUNCTION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 256. ISSUE . P. 232 -246 25 93% 14
9 SAKTHIVEL, R , GANESH, R , ANTHONI, SM , (2013) APPROXIMATE CONTROLLABILITY OF FRACTIONAL NONLINEAR DIFFERENTIAL INCLUSIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 225. ISSUE . P. 708-717 28 93% 24
10 SAKTHIVEL, R , REN, Y , DEBBOUCHE, A , MAHMUDOV, NI , (2016) APPROXIMATE CONTROLLABILITY OF FRACTIONAL STOCHASTIC DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS.APPLICABLE ANALYSIS. VOL. 95. ISSUE 11. P. 2361 -2382 28 90% 1

Classes with closest relation at Level 1


Rank Class id link
1 4048 FRACTIONAL DIFFERENTIAL EQUATIONS//NONLINEAR DYNAM ANAL//FRACTIONAL DIFFERENTIAL INCLUSIONS
2 10427 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC
3 14605 SWEEPING PROCESS//DIFFERENTIAL INCLUSIONS//CONTINUOUS SELECTOR
4 20675 NEUTRAL TYPE SYSTEMS//MAXIMAL ASYMPTOTICS//NONLINEAR STOCHASTIC DELAY EQUATIONS
5 9809 MONOTONE ITERATIVE TECHNIQUE//IMPULSIVE DIFFERENTIAL EQUATIONS//PERIODIC BOUNDARY VALUE PROBLEM
6 14970 INTEGRATED SEMIGROUP//C SEMIGROUPS//ABSTRACT CAUCHY PROBLEM
7 18863 MEASURE OF NONCOMPACTNESS//QUADRATIC INTEGRAL EQUATION//FUNCTIONAL INTEGRAL EQUATION
8 12946 RAZUMIKHIN TECHNIQUE//IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS//IMPULSIVE DELAY DIFFERENTIAL EQUATION
9 23942 WEAKLY INTEGRALLY POSITIVE//UNIFORM ASYMPTOTIC STABILITY//INTEGRALLY POSITIVE
10 34131 GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT//GRP NUMER ANAL MATH MODELING NAM2//IDENTIFICATION PROBLEMS

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