Class information for:
Level 2: OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
1603 6553 15.4 37%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
366 30560 POSITIVE SOLUTION//FIXED POINT THEOREMS//NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Classes in level below (level 1)


ID, lev. below Publications Label for level below
1364 2603 OSCILLATION//NONOSCILLATION//NONOSCILLATORY SOLUTION
12653 828 RAZUMIKHIN TECHNIQUE//STATE DEPENDENT IMPULSES//VARIATIONAL LYAPUNOV METHOD
15837 620 VOLTERRA DIFFERENCE EQUATIONS//VOLTERRA DIFFERENCE EQUATION//DISCRETE VOLTERRA EQUATIONS
16268 597 TWO INDEPENDENT VARIABLES//INTEGRAL INEQUALITY//INTEGRAL INEQUALITIES
18965 461 WEAKLY INTEGRALLY POSITIVE//THIRD ORDER DELAY DIFFERENTIAL EQUATION//INTERMITTENT DAMPING
20046 415 TIME SCALES//DIAMOND ALPHA INTEGRAL//GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS
21768 349 LYAPUNOV TYPE INEQUALITY//OPIALS INEQUALITY//LYAPUNOV INEQUALITY
26160 216 LIENARD SYSTEM//MULTIPLE DEVIATING ARGUMENTS//GENERALIZED LIENARD EQUATION
26235 214 CONTINUOUS DISTRIBUTED DEVIATING ARGUMENTS//PARABOLIC DIFFERENTIAL EQUATION//DISTRIBUTED DEVIATING ARGUMENTS
30742 133 GLOBAL EQUIVALENCE//INTEGRO DYNAMIC EQUATION//INTEGRO DYNAMIC EQUATIONS
31878 117 CORRECT SOLVABILITY//ZERO DERIVATIVE POINT//LIOUVILLE GREEN ASYMPTOTICS

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of publ.
in class
1 OSCILLATION Author keyword 449 34% 16% 1066
2 NONOSCILLATION Author keyword 277 80% 3% 172
3 NONOSCILLATORY SOLUTION Author keyword 137 87% 1% 67
4 HALF LINEAR DIFFERENTIAL EQUATION Author keyword 134 96% 1% 43
5 LYAPUNOV TYPE INEQUALITY Author keyword 114 95% 1% 38
6 TIME SCALES Author keyword 101 31% 4% 269
7 INTERVAL CRITERIA Author keyword 98 94% 1% 34
8 RICCATI TECHNIQUE Author keyword 90 96% 0% 27
9 NONOSCILLATORY SOLUTIONS Author keyword 85 89% 1% 39
10 EVENTUALLY POSITIVE SOLUTION Author keyword 73 96% 0% 23

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of publ.
in class		 LCSH search Wikipedia search
1 OSCILLATION 449 34% 16% 1066 Search OSCILLATION Search OSCILLATION
2 NONOSCILLATION 277 80% 3% 172 Search NONOSCILLATION Search NONOSCILLATION
3 NONOSCILLATORY SOLUTION 137 87% 1% 67 Search NONOSCILLATORY+SOLUTION Search NONOSCILLATORY+SOLUTION
4 HALF LINEAR DIFFERENTIAL EQUATION 134 96% 1% 43 Search HALF+LINEAR+DIFFERENTIAL+EQUATION Search HALF+LINEAR+DIFFERENTIAL+EQUATION
5 LYAPUNOV TYPE INEQUALITY 114 95% 1% 38 Search LYAPUNOV+TYPE+INEQUALITY Search LYAPUNOV+TYPE+INEQUALITY
6 TIME SCALES 101 31% 4% 269 Search TIME+SCALES Search TIME+SCALES
7 INTERVAL CRITERIA 98 94% 1% 34 Search INTERVAL+CRITERIA Search INTERVAL+CRITERIA
8 RICCATI TECHNIQUE 90 96% 0% 27 Search RICCATI+TECHNIQUE Search RICCATI+TECHNIQUE
9 NONOSCILLATORY SOLUTIONS 85 89% 1% 39 Search NONOSCILLATORY+SOLUTIONS Search NONOSCILLATORY+SOLUTIONS
10 EVENTUALLY POSITIVE SOLUTION 73 96% 0% 23 Search EVENTUALLY+POSITIVE+SOLUTION Search EVENTUALLY+POSITIVE+SOLUTION

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 NONOSCILLATORY SOLUTIONS 147 94% 1% 51
2 KAMENEV TYPE THEOREMS 124 100% 1% 35
3 OSCILLATION CRITERIA 124 81% 1% 74
4 NONOSCILLATION 105 83% 1% 59
5 GRONWALL LIKE INEQUALITY 59 90% 0% 26
6 LIAPUNOV TYPE INEQUALITY 49 94% 0% 17
7 INTERVAL CRITERIA 48 100% 0% 17
8 NABLA DERIVATIVES 38 84% 0% 21
9 MIXED NONLINEARITIES 37 100% 0% 14
10 EXPLICIT BOUNDS 35 81% 0% 21

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 DYNAMIC SYSTEMS AND APPLICATIONS 25 20% 2% 113
2 ADVANCES IN DIFFERENCE EQUATIONS 22 11% 3% 184
3 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 18 11% 2% 155
4 ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 15 15% 1% 94
5 DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS 4 13% 0% 25
6 NONLINEAR OSCILLATIONS 2 15% 0% 13

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
A Survey on Oscillation of Impulsive Ordinary Differential Equations 2010 5 16 100%
Partial stability and control: The state-of-the-art and development prospects 2005 21 53 40%
Oscillation of delay partial difference equations 2001 5 15 93%
STABILITY AND STABILIZATION OF MOTION - RESEARCH APPROACHES, RESULTS, DISTINCTIVE CHARACTERISTICS 1993 4 16 75%
The advancement of oscillation theory of functional differential equations 1998 0 16 81%
The physics and mathematics of the second law of thermodynamics 1999 0 8 63%
GENERALIZED DIRECT LYAPUNOV METHOD FOR ABSTRACT SEMIDYNAMICAL PROCESSES .1. SEMIDYNAMICAL PROCESSES AS SEMIDYNAMIC SYSTEMS - LOCALIZATION OF LIMIT-SETS OF AUTONOMOUS AND ASYMPTOTICALLY AUTONOMOUS SEMIDYNAMIC PROCESSES 1986 0 2 100%
BOGOLYUBOV,N.N. AND NONLINEAR MECHANICS 1994 1 3 33%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 ELECT ELECT ENGN EDUCATORS 21 90% 0.1% 9
2 MATH INFORMAT ULISSE DINI 12 86% 0.1% 6
3 LINDA 8 100% 0.1% 5
4 PYD 8 100% 0.1% 5
5 RAMANUJAN ADV STUDY MATH 8 25% 0.4% 28
6 MATH SKILLS 6 71% 0.1% 5
7 ETUD RECH MATH PL 4 75% 0.0% 3
8 MATH COMP INFORMAT ENGN 4 75% 0.0% 3
9 PL MATH MODELING 4 36% 0.1% 8
10 ELECT ELECT ENGN EDUC 3 100% 0.0% 3

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000018945 POSITIVE SOLUTION//FIXED POINT THEOREMS//MONOTONE ITERATIVE TECHNIQUE
2 0.0000013674 EXPONENTIAL DICHOTOMY//ALMOST AUTOMORPHIC//PIECEWISE CONSTANT ARGUMENT
3 0.0000010456 INVERSE NODAL PROBLEM//STURM LIOUVILLE PROBLEMS//EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS
4 0.0000010128 PERMANENCE//GLOBAL ATTRACTIVITY//GLOBAL STABILITY
5 0.0000005614 GLOBAL EXPONENTIAL STABILITY//CELLULAR NEURAL NETWORKS//COHEN GROSSBERG NEURAL NETWORKS
6 0.0000005054 HERMITE HADAMARD INEQUALITY//MATHEMATICAL INEQUALITIES & APPLICATIONS//OPERATOR MEAN
7 0.0000003515 ORBIT FLIP//HOPF BIFURCATION//DOUBLE HOPF BIFURCATION
8 0.0000003404 CRITICAL SOBOLEV EXPONENT//P LAPLACIAN//NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
9 0.0000003351 HOMOCLINIC SOLUTIONS//SECOND ORDER HAMILTONIAN SYSTEMS//KAM ITERATION
10 0.0000002995 FIBONACCI QUARTERLY//PASCAL MATRIX//BOUNDED MOVEMENT