×
Author ID: zettl.anton Recent zbMATH articles by "Zettl, Anton"
Published as: Zettl, Anton; Zettl, A.
Homepage: http://www.math.niu.edu/~zettl/
External Links: MGP · ORCID · ResearchGate · dblp
all top 5

Serials

26 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
19 Journal of Mathematical Analysis and Applications
13 Journal of Differential Equations
13 Proceedings of the American Mathematical Society
10 Results in Mathematics
8 Electronic Journal of Differential Equations (EJDE)
5 Journal of the London Mathematical Society. Second Series
4 Journal of Computational and Applied Mathematics
4 Linear Algebra and its Applications
4 SIAM Journal on Mathematical Analysis
3 Rocky Mountain Journal of Mathematics
3 ACM Transactions on Mathematical Software
3 Journal of Functional Analysis
3 Mathematische Nachrichten
3 Differential and Integral Equations
2 Houston Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Quaestiones Mathematicae
2 Transactions of the American Mathematical Society
2 SIAM Journal on Applied Mathematics
2 Communications in Applied Analysis
2 Journal of Inequalities and Applications
2 Electronic Journal of Qualitative Theory of Differential Equations
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Bulletin of the American Mathematical Society
2 Lecture Notes in Mathematics
2 Mathematical Surveys and Monographs
1 American Mathematical Monthly
1 Canadian Journal of Mathematics
1 Journal of Approximation Theory
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Pacific Journal of Mathematics
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Journal of Operator Theory
1 Applied Mathematics Letters
1 Applications of Mathematics
1 Panamerican Mathematical Journal
1 Dynamic Systems and Applications
1 Nieuw Archief voor Wiskunde. Derde Serie
1 SIAM Review
1 ETNA. Electronic Transactions on Numerical Analysis
1 Methods and Applications of Analysis
1 Taiwanese Journal of Mathematics
1 Cubo Matemática Educacional
1 Miskolc Mathematical Notes
1 De Gruyter Studies in Mathematics
1 Operators and Matrices
1 Journal of Applied Analysis and Computation
1 AIMS Mathematics

Publications by Year

Citations contained in zbMATH Open

165 Publications have been cited 2,443 times in 1,145 Documents Cited by Year
Sturm-Liouville theory. Zbl 1103.34001
Zettl, Anton
258
2005
Floquet theory for left-definite Sturm-Liouville problems. Zbl 1074.34030
Marletta, M.; Zettl, A.
135
2005
Eigenvalues of regular Sturm-Liouville problems. Zbl 0862.34020
Kong, Q.; Zettl, A.
81
1996
Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem. Zbl 0932.34081
Kong, Qingkai; Wu, Hongyou; Zettl, Anton
70
1999
Algorithm 810: The SLEIGN2 Sturm-Liouville code. Zbl 1070.65576
Bailey, P. B.; Everitt, W. N.; Zettl, A.
70
2001
Formally self-adjoint quasidifferential operators. Zbl 0443.34019
Zettl, A.
67
1975
Characterization of domains of self-adjoint ordinary differential operators. Zbl 1169.47033
Wang, Aiping; Sun, Jiong; Zettl, Anton
55
2009
The deficiency index problem for powers of ordinary differential expressions. Zbl 0367.34014
Kauffman, Robert M.; Read, Thomas T.; Zettl, Anton
54
1977
Singular Sturm-Liouville problems: The Friedrichs extension and comparison of eigenvalues. Zbl 0768.34015
Niessen, H.-D.; Zettl, A.
50
1992
Generalized symmetric ordinary differential expressions. I: The general theory. Zbl 0451.34009
Everitt, W. N.; Zettl, A.
44
1979
The classification of self-adjoint boundary conditions: separated, coupled, and mixed. Zbl 1170.34017
Wang, Aiping; Sun, Jiong; Zettl, Anton
43
2008
Norm inequalities for derivatives and differences. Zbl 0925.26011
Kwong, Man Kam; Zettl, Anton
42
1992
Integral inequalities and second order linear oscillation. Zbl 0498.34022
Man Kam Kwong; Zettl, A.
42
1982
Computing eigenvalues of singular Sturm-Liouville problems. Zbl 0755.65082
Bailey, P. B.; Everitt, W. N.; Zettl, A.
40
1991
Regular approximations of singular Sturm-Liouville problems. Zbl 0778.34015
Bailey, P. B.; Everitt, W. N.; Weidmann, J.; Zettl, A.
40
1993
Dependence of eigenvalues of Sturm-Liouville problems on the boundary. Zbl 0856.34027
Kong, Q.; Zettl, A.
37
1996
Sturm-Liouville problems with finite spectrum. Zbl 1001.34019
Kong, Q.; Wu, H.; Zettl, A.
35
2001
Left-definite Sturm-Liouville problems. Zbl 1002.34016
Kong, Q.; Wu, H.; Zettl, A.
33
2001
Sturm-Liouville differential operators in direct sum spaces. Zbl 0624.34020
Everitt, W. N.; Zettl, A.
33
1986
Matrix representations of Sturm-Liouville problems with finite spectrum. Zbl 1185.34032
Kong, Qingkai; Volkmer, Hans; Zettl, Anton
30
2009
The Friedrichs extension of singular differential operators. Zbl 0954.47012
Marletta, Marco; Zettl, Anton
29
2000
Geometric aspects of Sturm-Liouville problems. I: Structures on spaces of boundary conditions. Zbl 0957.34024
Kong, Q.; Wu, H.; Zettl, A.
28
2000
Dependence of eigenvalues on the problem. Zbl 0888.34017
Kong, Q.; Wu, H.; Zettl, A.
28
1997
Inequalities among eigenvalues of Sturm-Liouville problems. Zbl 0927.34017
Eastham, M. S. P.; Kong, Q.; Wu, H.; Zettl, A.
27
1999
Semi-boundedness of ordinary differential operators. Zbl 0817.34047
Möller, M.; Zettl, A.
27
1995
Symmetric differential operators and their Friedrichs extensions. Zbl 0817.34048
Möller, Manfred; Zettl, Anton
27
1995
Adjoint and self-adjoint boundary value problems with interface conditions. Zbl 0162.11201
Zettl, A.
27
1968
Differential operators generated by a countable number of quasi-differential expressions on the line. Zbl 0723.34022
Everitt, W. N.; Zettl, A.
24
1992
Indefinite Sturm-Liouville problems. Zbl 1056.34038
Kong, Q.; Wu, H.; Zettl, A.; Möller, M.
23
2003
Half inverse problems for quadratic pencils of Sturm-Liouville operators. Zbl 1256.34013
Yang, Chuan-Fu; Zettl, Anton
22
2012
The Friedrichs extension of regular ordinary differential operators. Zbl 0712.34020
Niessen, Heinz-Dieter; Zettl, Anton
21
1990
Oscillation of eigenfunctions of weighted regular Sturm-Liouville problems. Zbl 0529.34039
Everitt, W. N.; Kwong, Man Kam; Zettl, A.
21
1983
On a class of integral inequalities. Zbl 0388.26007
Everitt, W. N.; Zettl, A.
20
1978
Characterization of domains of self-adjoint ordinary differential operators. II. Zbl 1290.47046
Hao, Xiaoling; Sun, Jiong; Wang, Aiping; Zettl, Anton
20
2012
Singular self-adjoint Sturm-Liouville problems. Zbl 0723.34023
Krall, A. M.; Zettl, A.
20
1988
Full- and partial-range eigenfunction expansions for Sturm-Liouville problems with indefinite weights. Zbl 0558.47019
Kaper, Hans G.; Kwong, Man Kam; Lekkerkerker, C. G.; Zettl, A.
20
1984
Two-interval Sturm–Liouville operators in modified Hilbert spaces. Zbl 1116.47040
Wang, Aiping; Sun, Jiong; Zettl, Anton
19
2007
Differentiable dependence of eigenvalues of operators in Banach spaces. Zbl 0869.47004
Möller, Manfred; Zettl, Anton
18
1996
Linear ordinary differential equations. Zbl 0886.34007
Kong, Q.; Zettl, Anton
18
1994
Regular and singular Sturm-Liouville problems with coupled boundary conditions. Zbl 0855.34026
Bailey, P. B.; Everitt, W. N.; Zettl, A.
18
1996
Singular left-definite Sturm–Liouville problems. Zbl 1058.34029
Kong, Q.; Wu, H.; Zettl, A.
17
2004
Continuous spectrum and square-integrable solutions of differential operators with intermediate deficiency index. Zbl 1165.34052
Sun, Jiong; Wang, Aiping; Zettl, Anton
17
2008
Sturm-Liouville problems. Zbl 0882.34032
Zettl, Anton
16
1997
Discontinuous dependence of the \(n\)-th Sturm-Liouville eigenvalue. Zbl 0886.34023
Everitt, W. N.; Möller, M.; Zettl, A.
16
1997
Dirichlet and separation results for Schrödinger-type operators. Zbl 0397.47022
Evans, W. D.; Zettl, A.
14
1978
Real-parameter square-integrable solutions and the spectrum of differential operators. Zbl 1210.47087
Hao, Xiaoling; Sun, Jiong; Zettl, Anton
14
2011
The spectrum of singular Sturm-Liouville problems with eigenparameter dependent boundary conditions and its approximation. Zbl 1273.34034
Maozhu, Zhang; Sun, Jiong; Zettl, Anton
14
2013
Asymptotically constant functions and second order linear oscillation. Zbl 0525.34026
Kwong, Man Kam; Zettl, A.
14
1983
Canonical forms of self-adjoint boundary conditions for differential operators of order four. Zbl 1245.34018
Hao, Xiaoling; Sun, Jiong; Zettl, Anton
14
2012
Ramifications of Landau’s inequality. Zbl 0453.26007
Kwong, Man Kam; Zettl, A.
13
1980
Matrix representations of fourth order boundary value problems with finite spectrum. Zbl 1244.34019
Ao, Ji-Jun; Sun, Jiong; Zettl, Anton
13
2012
Eigenvalues of limit-point Sturm-Liouville problems. Zbl 1305.34147
Zhang, Maozhu; Sun, Jiong; Zettl, Anton
12
2014
Regular approximations of singular Sturm-Liouville problems with limit-circle endpoints. Zbl 1088.34018
Kong, L.; Kong, Q.; Wu, H.; Zettl, A.
12
2004
Survey article: Self-adjoint ordinary differential operators and their spectrum. Zbl 1369.47057
Zettl, Anton; Sun, Jiong
12
2015
Equivalence of fourth order boundary value problems and matrix eigenvalue problems. Zbl 1267.34036
Ao, Ji-Jun; Sun, Jiong; Zettl, Anton
12
2013
Discreteness conditions for the spectrum of ordinary differential operators. Zbl 0486.34018
Kwong, Man Kam; Zettl, A.
12
1981
The spectrum of differential operators and square-integrable solutions. Zbl 1271.34084
Hao, Xiaoling; Sun, Jiong; Zettl, Anton
12
2012
Interval limit-point criteria for differential expressions and their powers. Zbl 0356.34023
Evans, W. D.; Zettl, A.
11
1977
Limits of Sturm-Liouville eigenvalues when the interval shrinks to an end point. Zbl 1160.34022
Kong, Qingkai; Wu, Hongyou; Zettl, Anton
11
2008
Dependence of eigenvalues of fourth-order differential equations with discontinuous boundary conditions on the problem. Zbl 1372.34043
Lv, Xiao-Xia; Ao, Ji-Jun; Zettl, Anton
11
2017
Inverse Sturm-Liouville problems with finite spectrum. Zbl 1232.34023
Kong, Qingkai; Zettl, Anton
11
2012
On the deficiency indices of powers of real 2nth-order symmetric differential expressions. Zbl 0335.34007
Evans, W. D.; Zettl, A.
10
1976
Eigenvalue and eigenfunction computations for Sturm-Liouville problems. Zbl 0900.65255
Bailey, Paul B.; Garbow, Burton S.; Kaper, Hans G.; Zettl, Anton
10
1991
Characterizations of the Friedrichs extensions of singular Sturm- Liouville expressions. Zbl 0608.34022
Kaper, Hans G.; Kwong, Man Kam; Zettl, Anton
10
1986
Regularization of a Sturm-Liouville problem with an interior singularity using quasi-derivatives. Zbl 0715.34043
Atkinson, F. V.; Everitt, W. N.; Zettl, A.
10
1988
Characterization of domains of self-adjoint ordinary differential operators of any order, even or odd. Zbl 1424.47116
Hao, Xiaoling; Zhang, Maozhu; Sun, Jiong; Zettl, Anton
9
2017
Norm inequalities involving derivatives. Zbl 0409.26008
Evans, W. D.; Zettl, A.
9
1978
The study of Jacobi and cyclic Jacobi matrix eigenvalue problems using Sturm-Liouville theory. Zbl 1210.15011
Kong, Qingkai; Zettl, Anton
9
2011
Sturm-Liouville problems whose leading coefficient function changes sign. Zbl 1055.34051
Cao, Xifang; Kong, Qingkai; Wu, Hongyou; Zettl, Anton
9
2003
Lower bounds for the spectrum of ordinary differential operators. Zbl 0573.34020
Evans, W. D.; Kwong, M. K.; Zettl, A.
9
1983
Singular self-adjoint Sturm-Liouville problems. II: Interior singular points. Zbl 0682.34019
Krall, Allan M.; Zettl, Anton
9
1988
Geometric aspects of Sturm-Liouville problems. III. Level surfaces of the \(n\)th eigenvalue. Zbl 1133.34019
Cao, Xifang; Kong, Qingkai; Wu, Hongyou; Zettl, Anton
9
2007
Norm inequalities of product form in weighted \(L^ p\) spaces. Zbl 0475.26008
Kwong, M. K.; Zettl, A.
9
1981
The Sturm-Liouville Friedrichs extension. Zbl 1363.47039
Yao, Siqin; Sun, Jiong; Zettl, Anton
9
2015
Products of differential expressions without smoothness assumptions. Zbl 0397.34020
Everitt, W. N.; Zettl, A.
8
1978
Computing eigenvalues of regular Sturm-Liouville problems. Zbl 0810.34020
Dwyer, H. I.; Zettl, A.
8
1994
Weighted norm inequalities of sum form involving derivatives. Zbl 0463.26004
Kwong, Man Kam; Zettl, A.
8
1981
Two-interval Sturm-Liouville operators in direct sum spaces with inner product multiples. Zbl 1148.34024
Sun, Jiong; Wang, Aiping; Zettl, Anton
8
2006
Finite spectrum of \(2 n\)th order boundary value problems. Zbl 1319.34033
Ao, Ji-jun; Sun, Jiong; Zettl, Anton
7
2015
Eigenvalues of regular self-adjoint Sturm-Liouville problems. Zbl 1339.05209
Zettl, Anton
7
2014
Geometric aspects of Sturm-Liouville problems. II: Space of boundary conditions for left-definiteness. Zbl 1056.34037
Haertzen, Kevin; Kong, Qingkai; Wu, Hongyou; Zettl, Anton
7
2004
Inequalities among eigenvalues of singular Sturm-Liouville problems. Zbl 0942.34020
Kong, Q.; Wu, H.; Zettl, A.
7
1999
On the deficiency indices of powers of formally symmetric differential expressions. With three Addenda by T. T. Read, R. M. Kauffman and Anton Zettl. Zbl 0315.34010
Everitt, W. N.; Giertz, M.
6
1975
Deficiency indices of polynomials in symmetric differential expressions. II. Zbl 0333.34004
Zettl, Anton
6
1975
Multiplicity of Sturm–Liouville eigenvalues. Zbl 1069.34124
Kong, Q.; Wu, H.; Zettl, A.
6
2004
The classification of self-adjoint boundary conditions of differential operators with two singular endpoints. Zbl 1221.34048
Wang, Aiping; Sun, Jiong; Zettl, Anton
6
2011
Adjoint linear differential operators. Zbl 0139.03801
Zettl, A.
6
1965
Norm inequalities for derivatives. Zbl 0463.26005
Kwong, M. K.; Zettl, A.
6
1981
Eigenvalues of Sturm-Liouville problems with discontinuous boundary conditions. Zbl 1370.34046
Wang, Aiping; Zettl, Anton
6
2017
Factorization of differential operators. Zbl 0224.34010
Zettl, Anton
6
1971
Weighted norm inequalities for the quasi-derivatives of ordinary differential operators. Zbl 0787.34016
Möller, M.; Zettl, A.
6
1993
General theory of the factorization of ordinary linear differential operators. Zbl 0302.34007
Zettl, Anton
5
1974
Powers of real symmetric differential expressions without smoothness assumptions. Zbl 0343.34010
Zettl, Anton
5
1976
On the existence of an eigenvalue below the essential spectrum. Zbl 0934.34073
Brown, B. M.; McCormack, D. K. R.; Zettl, A.
5
1999
Sturm-Liouville problems with an infinite number of interior singularities. Zbl 0881.34039
Everitt, W. N.; Shubin, C.; Stolz, G.; Zettl, A.
5
1997
Norm inequalities for dissipative operators on inner product spaces. Zbl 0414.47022
Kwong, M. K.; Zettl, A.
5
1979
Remarks on best constants for norm inequalities among powers of an operator. Zbl 0415.41011
Kwong, M. K.; Zettl, A.
5
1979
Inequalities and eigenvalues of Sturm-Liouville problems near a singular boundary. Zbl 1006.34024
Everitt, W. N.; Marletta, M.; Zettl, A.
5
2001
Singular Sturm-Liouville problems with nonnegative and indefinite weights. Zbl 0535.34019
Kaper, Hans G.; Kwong, Man Kam; Zettl, Anton
5
1984
The Legendre equation and its self-adjoint operators. Zbl 1417.34206
Littlejohn, Lance L.; Zettl, Anton
5
2011
The Friedrichs extension of regular symmetric differential operators. Zbl 1486.34067
Bao, Qinglan; Wei, Guangsheng; Zettl, Anton
1
2022
Recent developments in Sturm-Liouville theory. Zbl 1479.34004
Zettl, Anton
3
2021
Characterization of self-adjoint domains for regular even order \(C\)-symmetric differential operators. Zbl 1449.47082
Sun, Jiong; Bao, Qinglan; Hao, Xiaoling; Zettl, Anton
4
2019
Ordinary differential operators. Zbl 1450.47001
Wang, Aiping; Zettl, Anton
4
2019
New canonical forms of self-adjoint boundary conditions for regular differential operators of order four. Zbl 1457.34044
Bao, Qinglan; Sun, Jiong; Hao, Xiaoling; Zettl, Anton
2
2019
Characterization of domains of symmetric and self-adjoint ordinary differential operators. Zbl 1386.34048
Wang, Aiping; Zettl, Anton
4
2018
A symmetric GKN-type theorem and symmetric differential operators. Zbl 1495.47046
Wang, Aiping; Zettl, Anton
1
2018
Dependence of eigenvalues of fourth-order differential equations with discontinuous boundary conditions on the problem. Zbl 1372.34043
Lv, Xiao-Xia; Ao, Ji-Jun; Zettl, Anton
11
2017
Characterization of domains of self-adjoint ordinary differential operators of any order, even or odd. Zbl 1424.47116
Hao, Xiaoling; Zhang, Maozhu; Sun, Jiong; Zettl, Anton
9
2017
Eigenvalues of Sturm-Liouville problems with discontinuous boundary conditions. Zbl 1370.34046
Wang, Aiping; Zettl, Anton
6
2017
Eigenvalues of periodic Sturm Liouville problems. Zbl 1366.34040
Yuan, Yaping; Sun, Jiong; Zettl, Anton
4
2017
Inequalities among eigenvalues of Sturm Liouville equations with periodic coefficients. Zbl 1386.34049
Yuan, Yaping; Sun, Jiong; Zettl, Anton
1
2017
A GKN theorem for symmetric operators. Zbl 1439.47030
Wang, Aiping; Zettl, Anton
1
2017
Self-adjoint Sturm-Liouville problems with an infinite number of boundary conditions. Zbl 1350.47023
Zhao, Yingchun; Sun, Jiong; Zettl, Anton
2
2016
Survey article: Self-adjoint ordinary differential operators and their spectrum. Zbl 1369.47057
Zettl, Anton; Sun, Jiong
12
2015
The Sturm-Liouville Friedrichs extension. Zbl 1363.47039
Yao, Siqin; Sun, Jiong; Zettl, Anton
9
2015
Finite spectrum of \(2 n\)th order boundary value problems. Zbl 1319.34033
Ao, Ji-jun; Sun, Jiong; Zettl, Anton
7
2015
Self-adjoint Sturm-Liouville problems with discontinuous boundary conditions. Zbl 1331.34040
Wang, Aiping; Zettl, Anton
3
2015
Eigenvalues of limit-point Sturm-Liouville problems. Zbl 1305.34147
Zhang, Maozhu; Sun, Jiong; Zettl, Anton
12
2014
Eigenvalues of regular self-adjoint Sturm-Liouville problems. Zbl 1339.05209
Zettl, Anton
7
2014
Symplectic geometry and dissipative differential operators. Zbl 1312.47047
Yao, Siqin; Sun, Jiong; Zettl, Anton
2
2014
The spectrum of singular Sturm-Liouville problems with eigenparameter dependent boundary conditions and its approximation. Zbl 1273.34034
Maozhu, Zhang; Sun, Jiong; Zettl, Anton
14
2013
Equivalence of fourth order boundary value problems and matrix eigenvalue problems. Zbl 1267.34036
Ao, Ji-Jun; Sun, Jiong; Zettl, Anton
12
2013
Self-adjoint domains, symplectic geometry, and limit-circle solutions. Zbl 1262.34030
Yao, Siqin; Sun, Jiong; Zettl, Anton
4
2013
Green’s function for two-interval Sturm-Liouville problems. Zbl 1290.34038
Wang, Aiping; Zettl, Anton
2
2013
Half inverse problems for quadratic pencils of Sturm-Liouville operators. Zbl 1256.34013
Yang, Chuan-Fu; Zettl, Anton
22
2012
Characterization of domains of self-adjoint ordinary differential operators. II. Zbl 1290.47046
Hao, Xiaoling; Sun, Jiong; Wang, Aiping; Zettl, Anton
20
2012
Canonical forms of self-adjoint boundary conditions for differential operators of order four. Zbl 1245.34018
Hao, Xiaoling; Sun, Jiong; Zettl, Anton
14
2012
Matrix representations of fourth order boundary value problems with finite spectrum. Zbl 1244.34019
Ao, Ji-Jun; Sun, Jiong; Zettl, Anton
13
2012
The spectrum of differential operators and square-integrable solutions. Zbl 1271.34084
Hao, Xiaoling; Sun, Jiong; Zettl, Anton
12
2012
Inverse Sturm-Liouville problems with finite spectrum. Zbl 1232.34023
Kong, Qingkai; Zettl, Anton
11
2012
Sturm-Liouville eigenvalue characterizations. Zbl 1256.34076
Bailey, Paul B.; Zettl, Anton
3
2012
Fourth order canonical forms of singular self-adjoint boundary conditions. Zbl 1254.34041
Hao, Xiaoling; Sun, Jiong; Zettl, Anton
3
2012
Construction of regular and singular Green’s functions. Zbl 1251.34043
Wang, Aiping; Ridenhour, Jerry; Zettl, Anton
2
2012
Real-parameter square-integrable solutions and the spectrum of differential operators. Zbl 1210.47087
Hao, Xiaoling; Sun, Jiong; Zettl, Anton
14
2011
The study of Jacobi and cyclic Jacobi matrix eigenvalue problems using Sturm-Liouville theory. Zbl 1210.15011
Kong, Qingkai; Zettl, Anton
9
2011
The classification of self-adjoint boundary conditions of differential operators with two singular endpoints. Zbl 1221.34048
Wang, Aiping; Sun, Jiong; Zettl, Anton
6
2011
The Legendre equation and its self-adjoint operators. Zbl 1417.34206
Littlejohn, Lance L.; Zettl, Anton
5
2011
Characterization of domains of self-adjoint ordinary differential operators. Zbl 1169.47033
Wang, Aiping; Sun, Jiong; Zettl, Anton
55
2009
Matrix representations of Sturm-Liouville problems with finite spectrum. Zbl 1185.34032
Kong, Qingkai; Volkmer, Hans; Zettl, Anton
30
2009
An interesting matrix equation. Zbl 1199.47192
Wang, Aiping; Sun, Jiong; Zettl, Anton
1
2009
The classification of self-adjoint boundary conditions: separated, coupled, and mixed. Zbl 1170.34017
Wang, Aiping; Sun, Jiong; Zettl, Anton
43
2008
Continuous spectrum and square-integrable solutions of differential operators with intermediate deficiency index. Zbl 1165.34052
Sun, Jiong; Wang, Aiping; Zettl, Anton
17
2008
Limits of Sturm-Liouville eigenvalues when the interval shrinks to an end point. Zbl 1160.34022
Kong, Qingkai; Wu, Hongyou; Zettl, Anton
11
2008
Two-interval Sturm–Liouville operators in modified Hilbert spaces. Zbl 1116.47040
Wang, Aiping; Sun, Jiong; Zettl, Anton
19
2007
Geometric aspects of Sturm-Liouville problems. III. Level surfaces of the \(n\)th eigenvalue. Zbl 1133.34019
Cao, Xifang; Kong, Qingkai; Wu, Hongyou; Zettl, Anton
9
2007
Inverse spectral theory for Sturm-Liouville problems with finite spectrum. Zbl 1114.34015
Volkmer, Hans; Zettl, Anton
4
2007
Left-definite variations of the classical Fourier expansion theorem. Zbl 1181.47050
Littlejohn, L. L.; Zettl, A.
2
2007
Two-interval Sturm-Liouville operators in direct sum spaces with inner product multiples. Zbl 1148.34024
Sun, Jiong; Wang, Aiping; Zettl, Anton
8
2006
Sturm-Liouville theory. Zbl 1103.34001
Zettl, Anton
258
2005
Floquet theory for left-definite Sturm-Liouville problems. Zbl 1074.34030
Marletta, M.; Zettl, A.
135
2005
Sturm–Liouville problems with singular non-selfadjoint boundary conditions. Zbl 1090.34021
Eberhard, Walter; Freiling, Gerhard; Zettl, Anton
5
2005
Singular left-definite Sturm–Liouville problems. Zbl 1058.34029
Kong, Q.; Wu, H.; Zettl, A.
17
2004
Regular approximations of singular Sturm-Liouville problems with limit-circle endpoints. Zbl 1088.34018
Kong, L.; Kong, Q.; Wu, H.; Zettl, A.
12
2004
Geometric aspects of Sturm-Liouville problems. II: Space of boundary conditions for left-definiteness. Zbl 1056.34037
Haertzen, Kevin; Kong, Qingkai; Wu, Hongyou; Zettl, Anton
7
2004
Multiplicity of Sturm–Liouville eigenvalues. Zbl 1069.34124
Kong, Q.; Wu, H.; Zettl, A.
6
2004
Indefinite Sturm-Liouville problems. Zbl 1056.34038
Kong, Q.; Wu, H.; Zettl, A.; Möller, M.
23
2003
Sturm-Liouville problems whose leading coefficient function changes sign. Zbl 1055.34051
Cao, Xifang; Kong, Qingkai; Wu, Hongyou; Zettl, Anton
9
2003
An alternate proof of Kato’s inequality. Zbl 1055.47028
Kwong, M. K.; Zettl, Anton
4
2003
On some eigenvalue problems in fuel-cell dynamics. Zbl 1056.34091
Bailey, P. B.; Billingham, J.; Cooper, R. J.; Everitt, W. N.; King, A. C.; Kong, Q.; Wu, H.; Zettl, A.
3
2003
Some spectral properties of the Heun differential equation. Zbl 1044.34048
Bailey, P. B.; Everitt, W. N.; Hinton, D. B.; Zettl, A.
1
2002
Algorithm 810: The SLEIGN2 Sturm-Liouville code. Zbl 1070.65576
Bailey, P. B.; Everitt, W. N.; Zettl, A.
70
2001
Sturm-Liouville problems with finite spectrum. Zbl 1001.34019
Kong, Q.; Wu, H.; Zettl, A.
35
2001
Left-definite Sturm-Liouville problems. Zbl 1002.34016
Kong, Q.; Wu, H.; Zettl, A.
33
2001
Inequalities and eigenvalues of Sturm-Liouville problems near a singular boundary. Zbl 1006.34024
Everitt, W. N.; Marletta, M.; Zettl, A.
5
2001
The Friedrichs extension of singular differential operators. Zbl 0954.47012
Marletta, Marco; Zettl, Anton
29
2000
Geometric aspects of Sturm-Liouville problems. I: Structures on spaces of boundary conditions. Zbl 0957.34024
Kong, Q.; Wu, H.; Zettl, A.
28
2000
A new proof of the inequalities among Sturm-Liouville eigenvalues. Zbl 0974.34024
Kong, Qingkai; Lin, Qun; Wu, Hongyou; Zettl, Anton
2
2000
On a computer assisted proof of the existence of eigenvalues below the essential spectrum of the Sturm-Liouville problem. Zbl 0971.65069
Brown, B. M.; McCormack, D. K. R.; Zettl, A.
2
2000
Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem. Zbl 0932.34081
Kong, Qingkai; Wu, Hongyou; Zettl, Anton
70
1999
Inequalities among eigenvalues of Sturm-Liouville problems. Zbl 0927.34017
Eastham, M. S. P.; Kong, Q.; Wu, H.; Zettl, A.
27
1999
Inequalities among eigenvalues of singular Sturm-Liouville problems. Zbl 0942.34020
Kong, Q.; Wu, H.; Zettl, A.
7
1999
On the existence of an eigenvalue below the essential spectrum. Zbl 0934.34073
Brown, B. M.; McCormack, D. K. R.; Zettl, A.
5
1999
Sturm-Liouville problems and discontinuous eigenvalues. Zbl 0933.34015
Everitt, W. N.; Möller, M.; Zettl, A.
4
1999
On the Friedrichs extension of singular differential operators. Zbl 0895.34018
Zettl, A.
4
1998
Dependence of eigenvalues on the problem. Zbl 0888.34017
Kong, Q.; Wu, H.; Zettl, A.
28
1997
Sturm-Liouville problems. Zbl 0882.34032
Zettl, Anton
16
1997
Discontinuous dependence of the \(n\)-th Sturm-Liouville eigenvalue. Zbl 0886.34023
Everitt, W. N.; Möller, M.; Zettl, A.
16
1997
Sturm-Liouville problems with an infinite number of interior singularities. Zbl 0881.34039
Everitt, W. N.; Shubin, C.; Stolz, G.; Zettl, A.
5
1997
Eigenvalues of regular Sturm-Liouville problems. Zbl 0862.34020
Kong, Q.; Zettl, A.
81
1996
Dependence of eigenvalues of Sturm-Liouville problems on the boundary. Zbl 0856.34027
Kong, Q.; Zettl, A.
37
1996
Differentiable dependence of eigenvalues of operators in Banach spaces. Zbl 0869.47004
Möller, Manfred; Zettl, Anton
18
1996
Regular and singular Sturm-Liouville problems with coupled boundary conditions. Zbl 0855.34026
Bailey, P. B.; Everitt, W. N.; Zettl, A.
18
1996
Semi-boundedness of ordinary differential operators. Zbl 0817.34047
Möller, M.; Zettl, A.
27
1995
Symmetric differential operators and their Friedrichs extensions. Zbl 0817.34048
Möller, Manfred; Zettl, Anton
27
1995
Eigenvalue computations for regular matrix Sturm-Liouville problems. Zbl 0824.34031
Dwyer, H. I.; Zettl, A.
4
1995
Interval oscillation conditions for difference equations. Zbl 0828.39002
Kong, Q.; Zettl, A.
4
1995
Linear ordinary differential equations. Zbl 0886.34007
Kong, Q.; Zettl, Anton
18
1994
Computing eigenvalues of regular Sturm-Liouville problems. Zbl 0810.34020
Dwyer, H. I.; Zettl, A.
8
1994
Computing continuous spectra. Zbl 0906.34059
Zettl, Anton
2
1994
Regular approximations of singular Sturm-Liouville problems. Zbl 0778.34015
Bailey, P. B.; Everitt, W. N.; Weidmann, J.; Zettl, A.
40
1993
Weighted norm inequalities for the quasi-derivatives of ordinary differential operators. Zbl 0787.34016
Möller, M.; Zettl, A.
6
1993
Singular Sturm-Liouville problems: The Friedrichs extension and comparison of eigenvalues. Zbl 0768.34015
Niessen, H.-D.; Zettl, A.
50
1992
Norm inequalities for derivatives and differences. Zbl 0925.26011
Kwong, Man Kam; Zettl, Anton
42
1992
Differential operators generated by a countable number of quasi-differential expressions on the line. Zbl 0723.34022
Everitt, W. N.; Zettl, A.
24
1992
Computing eigenvalues of singular Sturm-Liouville problems. Zbl 0755.65082
Bailey, P. B.; Everitt, W. N.; Zettl, A.
40
1991
Eigenvalue and eigenfunction computations for Sturm-Liouville problems. Zbl 0900.65255
Bailey, Paul B.; Garbow, Burton S.; Kaper, Hans G.; Zettl, Anton
10
1991
Norm inequalities for derivatives and differences. Zbl 0732.26015
Kwong, Man Kam; Zettl, Anton
3
1991
Algorithm 700: A FORTRAN software package for Sturm-Liouville problems. Zbl 0900.65253
Bailey, Paul B.; Garbow, Burton S.; Kaper, Hans G.; Zettl, Anton
1
1991
The Friedrichs extension of regular ordinary differential operators. Zbl 0712.34020
Niessen, Heinz-Dieter; Zettl, Anton
21
1990
...and 65 more Documents
all top 5

Cited by 1,094 Authors

79 Zettl, Anton
47 Sun, Jiong
35 Ao, Jijun
28 Kong, Qingkai
27 Everitt, William Norrie
26 Shi, Yuming
22 Li, Kun
22 Zheng, Zhaowen
21 Kwong, Man Kam
21 Qi, Jiangang
20 Sun, Huaqing
19 Ugurlu, Ekin
17 Wu, Hongyou
16 Hao, Xiaoling
16 Marletta, Marco
16 Wei, Guangsheng
15 Littlejohn, Lance L.
14 Chanane, Bilal
14 Gesztesy, Fritz
13 Allahverdiev, Bilender Paşaoğlu
13 Zhang, Maozhu
12 Behrndt, Jussi
12 Brown, B. Malcolm
12 Trunk, Carsten
12 Zhang, Meirong
11 Binding, Paul Anthony
11 Tuna, Hüseyin
11 Wang, Wanyi
10 Aydemir, Kadriye
10 Chen, Shaozhu
10 Hinton, Don Barker
10 Ibrahim, Sobhy El-Sayed
10 Mukhtarov, Oktay Sh.
10 Zhu, Hao
9 O’Regan, Donal
9 Wang, Aiping
8 Browne, Patrick J.
8 El-Gebeily, Mohamed A.
8 Evans, William Desmond
8 Frentzen, Hilbert
8 Mirzoev, Karakhan Agakhan
8 Möller, Manfred
8 Shi, Guoliang
8 Volkmer, Hans W.
7 Cai, Jinming
7 Frymark, Dale
7 Kong, Lingju
7 Liaw, Constanze
7 Read, Thomas T.
7 Wang, Zhong
7 Wong, James S. W.
7 Yao, Siqin
7 Zinsou, Bertin
6 Bairamov, Elgiz
6 Băleanu, Dumitru I.
6 Fucci, Guglielmo
6 Graef, John R.
6 Harris, Bernard J.
6 Kirsten, Klaus
6 Kostenko, Aleksey S.
6 Liu, Yan
6 Ren, Guojing
6 Schultze, Bernd
6 Skorokhodov, Dmytro S.
6 Weikard, Rudi
6 Wellman, Richard
6 Xie, Bing
6 Yan, Jun
6 Yan, Ping
6 Zemánek, Petr
6 Zhang, Haiyan Henry
5 Agarwal, Ravi P.
5 Atia, Hany A.
5 Bao, Qinglan
5 Boumenir, Amin A.
5 Ćurgus, Branko
5 Hasil, Petr
5 Ismailov, Zameddin Ismailovich
5 Kofanov, V. A.
5 Nichols, Roger
5 Parfinovych, Nataliia Viktorivna
5 Race, David
5 Stanfill, Jonathan
5 Teschl, Gerald
5 Xu, Meizhen
4 Amirov, Rauf Kh.
4 Arestov, Vitaliĭ Vladimirovich
4 Babenko, Vladyslav Fedorovych
4 Behncke, Horst
4 Braeutigam, Irina N.
4 Dappiaggi, Claudio
4 Datchev, Kiril R.
4 Došlý, Ondřej
4 Filatova, Maria A.
4 İpek Al, Pembe
4 Kaper, Hans G.
4 Katatbeh, Qutaibeh Deeb
4 Meng, Fanwei
4 Meng, Gang
4 Mingarelli, Angelo Bernado
...and 994 more Authors
all top 5

Cited in 269 Serials

100 Journal of Mathematical Analysis and Applications
71 Journal of Differential Equations
64 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
43 Applied Mathematics and Computation
37 Journal of Computational and Applied Mathematics
29 Mathematische Nachrichten
24 Boundary Value Problems
22 Proceedings of the American Mathematical Society
22 Results in Mathematics
22 Linear Algebra and its Applications
18 Quaestiones Mathematicae
17 Integral Equations and Operator Theory
16 Journal of Functional Analysis
15 Rocky Mountain Journal of Mathematics
14 Applicable Analysis
14 Computers & Mathematics with Applications
14 Ukrainian Mathematical Journal
14 Turkish Journal of Mathematics
13 Mediterranean Journal of Mathematics
12 Journal of Mathematical Physics
12 Transactions of the American Mathematical Society
12 Advances in Difference Equations
12 Complex Analysis and Operator Theory
11 Mathematical Methods in the Applied Sciences
10 Abstract and Applied Analysis
10 Operators and Matrices
9 Mathematical Notes
8 Czechoslovak Mathematical Journal
8 Monatshefte für Mathematik
8 Journal of Applied Analysis and Computation
7 Journal of Approximation Theory
7 Applied Mathematics Letters
7 Journal of Mathematical Sciences (New York)
6 Bulletin of the Australian Mathematical Society
6 Advances in Mathematics
5 Communications in Mathematical Physics
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Acta Applicandae Mathematicae
5 SIAM Journal on Mathematical Analysis
5 Filomat
5 Journal of High Energy Physics
5 Differential Equations
5 Journal of Physics A: Mathematical and Theoretical
5 Ufimskiĭ Matematicheskiĭ Zhurnal
5 Journal of Spectral Theory
5 Analysis and Mathematical Physics
5 Open Mathematics
4 Computer Physics Communications
4 Mathematics of Computation
4 Mathematical and Computer Modelling
4 Journal of Difference Equations and Applications
4 Communications in Nonlinear Science and Numerical Simulation
4 Lobachevskii Journal of Mathematics
4 Researches in Mathematics
3 International Journal of Engineering Science
3 Journal of Engineering Mathematics
3 Linear and Multilinear Algebra
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Physics Letters. B
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Archiv der Mathematik
3 Glasgow Mathematical Journal
3 Journal of Optimization Theory and Applications
3 Mathematische Annalen
3 Numerical Algorithms
3 Stochastic Processes and their Applications
3 Journal of Dynamics and Differential Equations
3 Russian Mathematics
3 Applied Mathematics. Series B (English Edition)
3 Opuscula Mathematica
3 Differential Equations and Dynamical Systems
3 Discrete Dynamics in Nature and Society
3 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
3 Acta Mathematica Sinica. English Series
3 Qualitative Theory of Dynamical Systems
3 Journal of Nonlinear Mathematical Physics
3 Acta Mathematica Scientia. Series A. (Chinese Edition)
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Mathematical Control and Related Fields
3 International Journal of Analysis and Applications
3 International Journal of Applied and Computational Mathematics
2 International Journal of Heat and Mass Transfer
2 International Journal of Theoretical Physics
2 Journal d’Analyse Mathématique
2 Journal of Computational Physics
2 Journal of Mathematical Biology
2 Letters in Mathematical Physics
2 Moscow University Mathematics Bulletin
2 Reports on Mathematical Physics
2 Journal of Geometry and Physics
2 Annales de l’Institut Fourier
2 Journal of Applied Probability
2 Mathematika
2 Numerical Functional Analysis and Optimization
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 SIAM Journal on Control and Optimization
2 Studies in Applied Mathematics
2 Transactions of the Moscow Mathematical Society
2 Zeitschrift für Analysis und ihre Anwendungen
...and 169 more Serials
all top 5

Cited in 49 Fields

810 Ordinary differential equations (34-XX)
386 Operator theory (47-XX)
131 Partial differential equations (35-XX)
97 Numerical analysis (65-XX)
51 Difference and functional equations (39-XX)
50 Real functions (26-XX)
47 Quantum theory (81-XX)
37 Dynamical systems and ergodic theory (37-XX)
34 Special functions (33-XX)
34 Approximations and expansions (41-XX)
33 Functional analysis (46-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
21 Global analysis, analysis on manifolds (58-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
19 Probability theory and stochastic processes (60-XX)
18 Fluid mechanics (76-XX)
17 Integral equations (45-XX)
17 Differential geometry (53-XX)
16 Mechanics of deformable solids (74-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
15 Relativity and gravitational theory (83-XX)
15 Systems theory; control (93-XX)
14 Statistical mechanics, structure of matter (82-XX)
11 Biology and other natural sciences (92-XX)
9 Combinatorics (05-XX)
8 Optics, electromagnetic theory (78-XX)
6 Statistics (62-XX)
6 Mechanics of particles and systems (70-XX)
6 Operations research, mathematical programming (90-XX)
5 Functions of a complex variable (30-XX)
5 Integral transforms, operational calculus (44-XX)
4 Potential theory (31-XX)
4 Abstract harmonic analysis (43-XX)
4 Geometry (51-XX)
4 Computer science (68-XX)
4 Geophysics (86-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
3 Number theory (11-XX)
3 Measure and integration (28-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
2 Astronomy and astrophysics (85-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)

Citations by Year