Class information for:
Level 1: MULTIPARAMETER EIGENVALUE PROBLEM//TWO PARAMETER//NONLINEAR STURM LIOUVILLE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25628 276 15.3 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
549 3       MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE 18286
1949 2             STURM LIOUVILLE OPERATOR//STURM LIOUVILLE PROBLEM//INVERSE SPECTRAL PROBLEM 5724
25628 1                   MULTIPARAMETER EIGENVALUE PROBLEM//TWO PARAMETER//NONLINEAR STURM LIOUVILLE 276

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 MULTIPARAMETER EIGENVALUE PROBLEM authKW 338812 3% 44% 7
2 TWO PARAMETER authKW 331893 3% 33% 9
3 NONLINEAR STURM LIOUVILLE authKW 248927 1% 75% 3
4 ASYMPTOTIC LENGTH OF BIFURCATION CURVES authKW 221270 1% 100% 2
5 BIFURCATING FAMILY authKW 221270 1% 100% 2
6 DAMPED SIMPLE PENDULUM authKW 221270 1% 100% 2
7 IMFM TCS address 221270 1% 100% 2
8 INVERSE BIFURCATION PROBLEM authKW 221270 1% 100% 2
9 INVERSE BIFURCATION PROBLEMS authKW 221270 1% 100% 2
10 THREE TERM SPECTRAL ASYMPTOTICS authKW 221270 1% 100% 2

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 9389 79% 0% 217
2 Mathematics, Applied 6441 60% 0% 166
3 Physics, Mathematical 38 4% 0% 11
4 Multidisciplinary Sciences 6 1% 0% 3
5 Mechanics 1 2% 0% 5
6 Mathematics, Interdisciplinary Applications 0 1% 0% 2
7 Engineering, General 0 1% 0% 2
8 Mathematical & Computational Biology 0 0% 0% 1
9 Physics, Particles & Fields -0 1% 0% 2
10 Physics, Multidisciplinary -0 1% 0% 4

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 IMFM TCS 221270 1% 100% 2
2 MIZUKO KU 55317 0% 50% 1
3 PL PHYS COURSE 55315 1% 25% 2
4 MATH NWF 1 36877 0% 33% 1
5 TCS 16387 1% 7% 2
6 INTEGRATED ARTS SCI 12498 7% 1% 19
7 PL MATH GRP 5717 1% 2% 3
8 MATH INFORMAT SCI 4905 7% 0% 19
9 IMFM 4758 1% 1% 3
10 PL MATH 1467 8% 0% 23

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 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 26741 9% 1% 25
2 PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 23211 7% 1% 18
3 JOURNAL OF DIFFERENTIAL EQUATIONS 4963 7% 0% 18
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 3818 10% 0% 27
5 IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK 2457 0% 2% 1
6 NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2332 6% 0% 16
7 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 2296 3% 0% 8
8 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 1289 2% 0% 5
9 DIFFERENTIAL AND INTEGRAL EQUATIONS 1282 1% 0% 3
10 GLASGOW MATHEMATICAL JOURNAL 1204 1% 0% 4

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 MULTIPARAMETER EIGENVALUE PROBLEM 338812 3% 44% 7 Search MULTIPARAMETER+EIGENVALUE+PROBLEM Search MULTIPARAMETER+EIGENVALUE+PROBLEM
2 TWO PARAMETER 331893 3% 33% 9 Search TWO+PARAMETER Search TWO+PARAMETER
3 NONLINEAR STURM LIOUVILLE 248927 1% 75% 3 Search NONLINEAR+STURM+LIOUVILLE Search NONLINEAR+STURM+LIOUVILLE
4 ASYMPTOTIC LENGTH OF BIFURCATION CURVES 221270 1% 100% 2 Search ASYMPTOTIC+LENGTH+OF+BIFURCATION+CURVES Search ASYMPTOTIC+LENGTH+OF+BIFURCATION+CURVES
5 BIFURCATING FAMILY 221270 1% 100% 2 Search BIFURCATING+FAMILY Search BIFURCATING+FAMILY
6 DAMPED SIMPLE PENDULUM 221270 1% 100% 2 Search DAMPED+SIMPLE+PENDULUM Search DAMPED+SIMPLE+PENDULUM
7 INVERSE BIFURCATION PROBLEM 221270 1% 100% 2 Search INVERSE+BIFURCATION+PROBLEM Search INVERSE+BIFURCATION+PROBLEM
8 INVERSE BIFURCATION PROBLEMS 221270 1% 100% 2 Search INVERSE+BIFURCATION+PROBLEMS Search INVERSE+BIFURCATION+PROBLEMS
9 THREE TERM SPECTRAL ASYMPTOTICS 221270 1% 100% 2 Search THREE+TERM+SPECTRAL+ASYMPTOTICS Search THREE+TERM+SPECTRAL+ASYMPTOTICS
10 SIMPLE PENDULUM 181030 2% 27% 6 Search SIMPLE+PENDULUM Search SIMPLE+PENDULUM

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 VOLKMER, H , (1988) MULTIPARAMETER EIGENVALUE PROBLEMS AND EXPANSION THEOREMS.LECTURE NOTES IN MATHEMATICS. VOL. 1356. ISSUE . P. 1-153 46 90% 5
2 SHIBATA, T , (2007) NEW ASYMPTOTIC FORMULA FOR EIGENVALUES OF NONLINEAR STURM-LIOUVILLE PROBLEMS.JOURNAL D ANALYSE MATHEMATIQUE. VOL. 102. ISSUE . P. 347-358 14 100% 0
3 SHIBATA, T , (2007) INVERSE SPECTRAL PROBLEMS FOR NONLINEAR STURM-LIOUVILLE PROBLEMS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 13 100% 0
4 SHIBATA, T , (2013) DIRECT AND INVERSE BIFURCATIONP ROBLEMS FOR NON-AUTONOMOUS LOGISTIC EQUATIONS.ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. . ISSUE . P. - 11 100% 0
5 SHIBATA, T , (2008) L-Q-INVERSE SPECTRAL PROBLEMS FOR SEMILINEAR STURM-LIOUVILLE PROBLEMS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 69. ISSUE 10. P. 3601-3609 12 100% 1
6 SHIBATA, T , (2005) PRECISE SPECTRAL ASYMPTOTICS FOR NONAUTONOMOUS LOGISTIC EQUATIONS OF POPULATION DYNAMICS IN A BALL.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE 6. P. 563 -573 13 100% 0
7 SHIBATA, T , (2007) GLOBAL BEHAVIOR OF THE BRANCH OF POSITIVE SOLUTIONS FOR NONLINEAR STURM-LIOUVILLE PROBLEMS.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 186. ISSUE 3. P. 525-537 12 100% 6
8 SHIBATA, T , (2007) ASYMPTOTIC BEHAVIOUR OF L-Q-NORM OF SOLUTIONS TO ELLIPTIC EIGENVALUE PROBLEMS ARISING IN POPULATION DYNAMICS.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 137. ISSUE . P. 1081-1090 12 100% 0
9 SHIBATA, T , (2012) ASYMPTOTIC APPROACH TO INVERSE BIFURCATION FOR NONLINEAR STURM-LIOUVILLE PROBLEMS.ADVANCED NONLINEAR STUDIES. VOL. 12. ISSUE 3. P. 465-479 11 92% 0
10 SHIBATA, T , (2014) INVERSE BIFURCATION PROBLEMS FOR DIFFUSIVE LOGISTIC EQUATION OF POPULATION DYNAMICS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 413. ISSUE 1. P. 495-501 10 91% 0

Classes with closest relation at Level 1


Rank Class id link
1 24203 EXACT MULTIPLICITY//TIME MAP//S SHAPED BIFURCATION CURVE
2 31974 P REGULARITY//ABNORMAL POINT//P FACTOR OPERATOR
3 16561 EQUIVARIANT DEGREE//INDEX BUNDLE//BOUNDING FUNCTIONS
4 12972 KREIN SPACE//DEFINITIZABLE OPERATOR//ANAL TECH MATH
5 36573 HAMILTONIAN SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS//NONLINEAR SELF ADJOINT EIGENVALUE PROBLEM//REDUNDANT CONDITIONS
6 8229 MATRIX POLYNOMIAL//POLYNOMIAL EIGENVALUE PROBLEM//STABILITY RADIUS
7 25276 CP METHODS//STURM LIOUVILLE PROBLEM//ASYMPTOTIC CORRECTION
8 30295 CUICBAS//ARBITRARY BOUNDARIES//INHOMOGENEOUS STRING
9 34131 GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT//GRP NUMER ANAL MATH MODELING NAM2//IDENTIFICATION PROBLEMS
10 26692 PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY

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