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Author ID: brown.b-malcolm Recent zbMATH articles by "Brown, B. Malcolm"
Published as: Brown, B. M.; Brown, B. Malcolm; Brown, B.
all top 5

Serials

15 Journal of Computational and Applied Mathematics
11 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
5 Journal of Mathematical Analysis and Applications
5 Mathematische Nachrichten
4 Inverse Problems
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Integral Equations and Operator Theory
4 Journal of the London Mathematical Society. Second Series
2 The Mathematical Gazette
2 Bulletin of the London Mathematical Society
2 Canadian Mathematical Bulletin
2 Journal of Differential Equations
2 Results in Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Inequalities and Applications
2 LMS Journal of Computation and Mathematics
2 Operator Theory: Advances and Applications
1 Communications in Mathematical Physics
1 IMA Journal of Numerical Analysis
1 Journal of Mathematical Physics
1 Studia Mathematica
1 Archiv der Mathematik
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Applied Numerical Mathematics
1 Journal of Symbolic Computation
1 Constructive Approximation
1 Journal of Physics A: Mathematical and General
1 SIAM Journal on Mathematical Analysis
1 Expositiones Mathematicae
1 Journal of Computational Analysis and Applications
1 Complex Analysis and Operator Theory
1 Journal of Physics A: Mathematical and Theoretical
1 Proceedings A. Royal Society of London

Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 546 times in 390 Documents Cited by Year
A Borg-Levinson theorem for trees. Zbl 1370.34051
Brown, B. M.; Weikard, R.
48
2005
\(M\)-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems. Zbl 1167.47057
Brown, B. M.; Grubb, G.; Wood, I. G.
41
2009
On the spectrum of second-order differential operators with complex coefficients. Zbl 0944.34018
Brown, B. M.; McCormack, D. K. R.; Evans, W. D.; Plum, M.
29
1999
A variational approach to an elastic inverse problem. Zbl 1274.35407
Brown, B. M.; Jais, M.; Knowles, I. W.
18
2005
Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems. Zbl 1055.34048
Brown, B. M.; Evans, W. D.; Plum, M.
17
2003
On the inverse resonance problem. Zbl 1050.34004
Brown, B. M.; Knowles, I.; Weikard, R.
16
2003
Spectral inclusion and spectral exactness for singular non-self-adjoint Sturm-Liouville problems. Zbl 0992.34017
Brown, B. M.; Marletta, M.
15
2001
Spectral inclusion and spectral exactness for singular non-self-adjoint Hamiltonian systems. Zbl 1078.34064
Brown, B. M.; Marletta, M.
15
2003
The Askey-Wilson polynomials and \(q\)-Sturm-Liouville problems. Zbl 0860.33012
Brown, B. Malcolm; Evans, W. Desmond; Ismail, Mourad E. H.
15
1996
Inverse spectral and scattering theory for the half-line left-definite Sturm-Liouville problem. Zbl 1178.37095
Bennewitz, C.; Brown, B. M.; Weikard, R.
14
2009
Periodic differential operators. Zbl 1267.34001
Brown, B. Malcolm; Eastham, Michael S. P.; Schmidt, Karl Michael
13
2013
Computing eigenvalues and Fučik-spectrum of the radially symmetric \(p\)-Laplacian. Zbl 1020.65083
Brown, B. M.; Reichel, W.
12
2002
Spectral concentration and rapidly decaying potentials. Zbl 0886.34022
Brown, B. M.; Eastham, M. S. P.; McCormack, D. K. R.
11
1997
Inverse spectral problem for the Sturm-Liouville equation. Zbl 1021.65037
Brown, B. M.; Samko, V. S.; Knowles, I. W.; Marletta, M.
10
2003
Spectral inclusion and spectral exactness for PDEs on exterior domains. Zbl 1057.65079
Brown, B. M.; Marletta, M.
10
2004
On the Krein and Friedrichs extensions of a positive Jacobi operator. Zbl 1078.39019
Brown, B. Malcolm; Christiansen, Jacob S.
10
2005
A numerical investigation of the solution of a class of fourth-order eigenvalue problems. Zbl 0977.65101
Brown, B. M.; Davies, E. B.; Jimack, P. K.
10
2000
Eigenvalues of the radially symmetric \(p\)-Laplacian in \(\mathbb{R}^n\). Zbl 1058.34114
Brown, B. M.; Reichel, W.
9
2004
A right inverse of the Askey-Wilson operator. Zbl 0828.33013
Brown, B. Malcolm; Ismail, Mourad E. H.
9
1995
A local Borg-Marchenko theorem for complex potentials. Zbl 1019.34025
Brown, B. M.; Peacock, R. A.; Weikard, R.
8
2002
A limit point criterion with applications to nonselfadjoint equations. Zbl 1019.34037
Bennewitz, C.; Brown, B. M.
8
2002
Scattering and inverse scattering for a left-definite Sturm-Liouville problem. Zbl 1323.34096
Bennewitz, C.; Brown, B. M.; Weikard, R.
8
2012
On the distribution of the zeros of a polynomial. Zbl 0136.25305
Brown, B. M.
8
1965
Inverse problems for boundary triples with applications. Zbl 1422.47007
Brown, B. M.; Marletta, M.; Naboko, S.; Wood, I.
8
2017
Uniqueness for an inverse problem in electromagnetism with partial data. Zbl 1351.35259
Brown, B. M.; Marletta, M.; Reyes, J. M.
7
2016
The inverse resonance problem for Jacobi operators. Zbl 1148.39305
Brown, B. M.; Naboko, S.; Weikard, R.
7
2005
Analytic continuation and resonance-free regions for Sturm-Liouville potentials with power decay. Zbl 1019.34032
Brown, B. M.; Eastham, M. S. P.
6
2002
Welsh eigenvalues of radially periodic Schrödinger operators. Zbl 0915.35076
Brown, B. Malcolm; Eastham, Michael S. P.; Hinz, Andreas M.; Kriecherbauer, Thomas; McCormack, Daniel K. R.; Schmidt, Karl Michael
6
1998
Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics. Zbl 1301.76083
Brown, B. Malcolm; Langer, Matthias; Marletta, Marco; Tretter, Christiane; Wagenhofer, Markus
6
2010
Selfadjoint and \(m\) sectorial extensions of Sturm-Liouville operators. Zbl 1394.47030
Brown, B. M.; Evans, W. D.
6
2016
Safe numerical bounds for the Titchmarsh-Weyl \(m(\lambda)\)-function. Zbl 0837.65089
Brown, B. M.; Kirby, V. G.; Evans, W. D.; Plum, M.
5
1993
Absolute continuity and spectral concentration for slowly decaying potentials. Zbl 0928.34023
Brown, B. M.; Eastham, M. S. P.; McCormack, D. K. R.
5
1998
On the existence of an eigenvalue below the essential spectrum. Zbl 0934.34073
Brown, B. M.; McCormack, D. K. R.; Zettl, A.
5
1999
Eigenvalue bounds for the singular Sturm-Liouville problem with a complex potential. Zbl 1058.34113
Brown, B. M.; Langer, M.; Marletta, M.; Tretter, C.; Wagenhofer, M.
5
2003
Spectral concentration and perturbed discrete spectra. Zbl 0893.34020
Brown, B. M.; Eastham, M. S. P.; McCormack, D. K. R.
5
1997
On an extension of Copson’s inequality for infinite series. Zbl 0754.26010
Brown, B. M.; Evans, W. D.
5
1992
Estimates for the lowest eigenvalue of a star graph. Zbl 1194.05082
Brown, B. M.; Eastham, M. S. P.; Wood, I. G.
5
2009
The inverse resonance problem for perturbations of algebro-geometric potentials. Zbl 1053.34009
Brown, B. M.; Weikard, R.
4
2004
Repeated diagonalization and the numerical computation of the Titchmarsh- Weyl \(m(\lambda)\)-function. Zbl 0807.65089
Brown, B. M.; Eastham, M. S. P.; Evans, W. D.; Kirby, V. G.
4
1994
A numerical method for the determination of the Titchmarsh-Weyl \(m\)- coefficient. Zbl 0742.34024
Brown, B. M.; Kirby, V. G.; Pryce, J. D.
4
1991
Resonances and analytic continuation for exponentially decaying Sturm-Liouville potentials. Zbl 0979.34018
Brown, B. M.; Eastham, M. S. P.; McCormack, D. K. R.
4
2000
Floquet-Bloch theory for elliptic problems with discontinuous coefficients. Zbl 1247.35073
Brown, B. Malcolm; Hoang, Vu; Plum, Michael; Wood, Ian G.
4
2011
On the limit-point and strong limit-point classification of \(2n\)-th order differential expressions with wildly oscillating coefficients. Zbl 0259.34035
Brown, B. Malcolm; Evans, W. Desmond
4
1974
Numerical determination of the Titchmarsh-Weyl m-coefficient and its applications to HELP inequalities. Zbl 0694.65039
Brown, B. M.; Kirby, V. G.; Pryce, J. D.
4
1989
Eigenvalues of the radial \(p\)-Laplacian with a potential on \((0,\infty)\). Zbl 1133.34043
Brown, B. M.; Eastham, M. S. P.
4
2007
Distribution of eigenvalues in gaps of the essential spectrum of Sturm-Liouville operators – a numerical approach. Zbl 1092.34045
Brown, B.; Eastham, Michael S. P.; Hinz, Andreas M.; Schmidt, Karl Michael
4
2004
Spectrum created by line defects in periodic structures. Zbl 1316.35215
Brown, B. M.; Hoang, V.; Plum, M.; Wood, I.
3
2014
The Hurwitz theorem for Bessel functions and antibound states in spectral theory. Zbl 1047.33001
Brown, B. M.; Eastham, M. S. P.
3
2003
The computation of the Titchmarsh-Weyl \(m\)-function. Zbl 0879.34034
Brown, B. M.; Evans, W. D.
3
1997
Orthogonal polynomials and extensions of Copson’s inequality. Zbl 0814.26009
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
3
1993
A variational approach to an electromagnetic inverse problem. Zbl 1216.35171
Brown, B. M.; Jais, M.
3
2011
The spectral problem for the dispersionless Camassa-Holm equation. Zbl 1368.37079
Bennewitz, C.; Brown, B. M.; Weikard, R.
3
2016
Titchmarsh’s asymptotic formula for periodic eigenvalues and an extension to the \(p\)-Laplacian. Zbl 1145.34056
Brown, B. M.; Eastham, M. S. P.
3
2008
An efficient direct solver for a class of mixed finite element problems. Zbl 0982.65119
Brown, B. M.; Jimack, P. K.; Mihajlović, M. D.
2
2001
Extended Hurwitz results for hypergeometric functions arising in spectral theory. Zbl 1044.33002
Brown, B. M.; Eastham, M. S. P.
2
2004
Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators. Zbl 0761.39007
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
2
1992
Two integral inequalities. Zbl 0882.26009
Brown, B. M.; Evans, W. D.; Everitt, W. N.; Kirby, V. G.
2
1994
A catalogue of HELP and HELP-type integral and series inequalities. Zbl 0898.26005
Benammar, M.; Bennewitz, C.; Beynon, M. J.; Brown, B. M.; Dias, N. G. J.; Evans, W. D.; Everitt, W. N.; Kirby, V. G.; Littlejohn, L. L.
2
1998
HELP integral and series inequalities. Zbl 0764.26010
Brown, B. M.; Evans, W. D.; Everitt, W. N.
2
1992
Spectral concentration for perturbed equations of harmonic oscillator type. Zbl 0953.34067
Brown, B. M.; Eastham, M. S. P.
2
2000
The detectable subspace for the Friedrichs model. Zbl 07151041
Brown, B. M.; Marletta, M.; Naboko, S.; Wood, I. G.
2
2019
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
Spectral properties of a \(q\)-Sturm–Liouville operator. Zbl 1173.47018
Brown, B. Malcolm; Christiansen, Jacob S.; Schmidt, Karl Michael
2
2009
Weyl solutions and \(j\)-selfadjointness for Dirac operators. Zbl 07113592
Brown, B. Malcolm; Klaus, Martin; Malamud, Mark; Mogilevskii, Vadim; Wood, Ian
2
2019
Guaranteed resonance enclosures and exclosures for atoms and molecules. Zbl 1371.81347
Bögli, Sabine; Brown, B. Malcolm; Marletta, Marco; Tretter, Christiane; Wagenhofer, Markus
2
2014
On the spectrum of waveguides in planar photonic bandgap structures. Zbl 1371.78110
Brown, B. M.; Hoang, V.; Plum, M.; Wood, I.
2
2015
Bounds for the positive eigenvalues of the \(p\)-Laplacian with decaying potential. Zbl 1111.34060
Brown, B. M.; Eastham, M. S. P.
2
2007
An example on the discrete spectrum of a star graph. Zbl 1165.35033
Brown, B. M.; Eastham, M. S. P.; Wood, I. G.
2
2008
The inverse resonance problem for Hermite operators. Zbl 1183.47025
Brown, B. Malcolm; Naboko, Serguei; Weikard, Rudi
2
2009
Detectable subspaces and inverse problems for Hain-Lüst-type operators. Zbl 1369.34030
Brown, B. M.; Marletta, M.; Naboko, S. N.; Wood, I. G.
2
2016
Analysis of Regge poles for the Schrödinger equation. Zbl 1186.81111
Hiscox, A.; Brown, B. M.; Marletta, M.
1
2009
On the location of resonances of exponentially decaying Sturm-Liouville potentials. Zbl 1001.34018
Brown, B. M.; Eastham, M. S. P.
1
2002
The HELP inequality for Hamiltonian systems. Zbl 1088.34538
Brown, B. M.; Evans, W. D.; Marletta, M.
1
1999
Bessel-type operators with an inner singularity. Zbl 1270.34038
Brown, B. Malcolm; Langer, Heinz; Langer, Matthias
1
2013
Spectral concentrations and resonances of a second-order block operator matrix and an associated \(\lambda\)-rational Sturm-Liouville problem. Zbl 1083.34017
Brown, B. Malcolm; Langer, Matthias; Marletta, Marco
1
2004
Computation of the \(M\) matrix for fourth-order problems. Zbl 0869.34012
Bennewitz, C.; Brown, B. M.; Evans, W. D.; McCormack, D. K. R. M.; Marletta, Marco
1
1996
Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix. Zbl 0883.34026
Brown, B. M.; Eastham, M. S. P.; McCormack, D. K. R.; Evans, W. D.
1
1997
The HELP type integral inequalities for \(2n^{\text{th}}\) order differential operators. Zbl 0888.26012
Brown, B. M.; Dias, N. G. J.
1
1997
Guaranteed error bounds for eigenvalues of singular Sturm-Liouville problems. Zbl 0957.65078
Brown, B. M.; McCormack, D. K. R.; Marletta, M.
1
2000
The HELP inequality for lim-\(p\) Hamiltonian systems. Zbl 1007.34024
Brown, B. M.; Marletta, M.
1
2000
A computational investigation of an integro-differential inequality with periodic potential. Zbl 0972.34021
Brown, B. M.; Kirby, V. G.
1
2000
A uniqueness result for one-dimensional inverse scattering. Zbl 1255.34089
Bennewitz, C.; Brown, B. M.; Weikard, R.
1
2012
On spectral bounds for photonic crystal waveguides. Zbl 1266.78018
Brown, B. Malcolm; Hoang, Vu; Plum, Michael; Wood, Ian G.
1
2009
Positive self-adjoint operator extensions with applications to differential operators. Zbl 07123542
Brown, B. M.; Evans, W. D.; Wood, I. G.
1
2019
Gap localization of TE-modes by arbitrarily weak defects. Zbl 1379.35095
Brown, B. M.; Hoang, V.; Plum, M.; Radosz, M.; Wood, I.
1
2017
On inverse problems for finite trees. Zbl 1166.34002
Brown, B. M.; Weikard, R.
1
2009
Conditions for the spectrum associated with an asymptotically straight leaky wire to contain an interval \([-\alpha^{2}/4, \infty)\). Zbl 1192.81148
Brown, B. M.; Eastham, M. S. P.; Wood, I. G.
1
2008
The HELP inequality on trees. Zbl 1165.26315
Brown, B. Malcolm; Langer, Matthias; Schmidt, Karl Michael
1
2008
Extensions of the Kummer evaluation of a finite hypergeometric series. Zbl 1093.33002
Brown, B. M.; Eastham, M. S. P.
1
2006
The mathematical theory of linear systems. Zbl 0113.29403
Brown, B. M.
1
1961
The detectable subspace for the Friedrichs model. Zbl 07151041
Brown, B. M.; Marletta, M.; Naboko, S.; Wood, I. G.
2
2019
Weyl solutions and \(j\)-selfadjointness for Dirac operators. Zbl 07113592
Brown, B. Malcolm; Klaus, Martin; Malamud, Mark; Mogilevskii, Vadim; Wood, Ian
2
2019
Positive self-adjoint operator extensions with applications to differential operators. Zbl 07123542
Brown, B. M.; Evans, W. D.; Wood, I. G.
1
2019
Inverse problems for boundary triples with applications. Zbl 1422.47007
Brown, B. M.; Marletta, M.; Naboko, S.; Wood, I.
8
2017
Gap localization of TE-modes by arbitrarily weak defects. Zbl 1379.35095
Brown, B. M.; Hoang, V.; Plum, M.; Radosz, M.; Wood, I.
1
2017
Uniqueness for an inverse problem in electromagnetism with partial data. Zbl 1351.35259
Brown, B. M.; Marletta, M.; Reyes, J. M.
7
2016
Selfadjoint and \(m\) sectorial extensions of Sturm-Liouville operators. Zbl 1394.47030
Brown, B. M.; Evans, W. D.
6
2016
The spectral problem for the dispersionless Camassa-Holm equation. Zbl 1368.37079
Bennewitz, C.; Brown, B. M.; Weikard, R.
3
2016
Detectable subspaces and inverse problems for Hain-Lüst-type operators. Zbl 1369.34030
Brown, B. M.; Marletta, M.; Naboko, S. N.; Wood, I. G.
2
2016
On the spectrum of waveguides in planar photonic bandgap structures. Zbl 1371.78110
Brown, B. M.; Hoang, V.; Plum, M.; Wood, I.
2
2015
Spectrum created by line defects in periodic structures. Zbl 1316.35215
Brown, B. M.; Hoang, V.; Plum, M.; Wood, I.
3
2014
Guaranteed resonance enclosures and exclosures for atoms and molecules. Zbl 1371.81347
Bögli, Sabine; Brown, B. Malcolm; Marletta, Marco; Tretter, Christiane; Wagenhofer, Markus
2
2014
Periodic differential operators. Zbl 1267.34001
Brown, B. Malcolm; Eastham, Michael S. P.; Schmidt, Karl Michael
13
2013
Bessel-type operators with an inner singularity. Zbl 1270.34038
Brown, B. Malcolm; Langer, Heinz; Langer, Matthias
1
2013
Scattering and inverse scattering for a left-definite Sturm-Liouville problem. Zbl 1323.34096
Bennewitz, C.; Brown, B. M.; Weikard, R.
8
2012
A uniqueness result for one-dimensional inverse scattering. Zbl 1255.34089
Bennewitz, C.; Brown, B. M.; Weikard, R.
1
2012
Floquet-Bloch theory for elliptic problems with discontinuous coefficients. Zbl 1247.35073
Brown, B. Malcolm; Hoang, Vu; Plum, Michael; Wood, Ian G.
4
2011
A variational approach to an electromagnetic inverse problem. Zbl 1216.35171
Brown, B. M.; Jais, M.
3
2011
Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics. Zbl 1301.76083
Brown, B. Malcolm; Langer, Matthias; Marletta, Marco; Tretter, Christiane; Wagenhofer, Markus
6
2010
\(M\)-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems. Zbl 1167.47057
Brown, B. M.; Grubb, G.; Wood, I. G.
41
2009
Inverse spectral and scattering theory for the half-line left-definite Sturm-Liouville problem. Zbl 1178.37095
Bennewitz, C.; Brown, B. M.; Weikard, R.
14
2009
Estimates for the lowest eigenvalue of a star graph. Zbl 1194.05082
Brown, B. M.; Eastham, M. S. P.; Wood, I. G.
5
2009
Spectral properties of a \(q\)-Sturm–Liouville operator. Zbl 1173.47018
Brown, B. Malcolm; Christiansen, Jacob S.; Schmidt, Karl Michael
2
2009
The inverse resonance problem for Hermite operators. Zbl 1183.47025
Brown, B. Malcolm; Naboko, Serguei; Weikard, Rudi
2
2009
Analysis of Regge poles for the Schrödinger equation. Zbl 1186.81111
Hiscox, A.; Brown, B. M.; Marletta, M.
1
2009
On spectral bounds for photonic crystal waveguides. Zbl 1266.78018
Brown, B. Malcolm; Hoang, Vu; Plum, Michael; Wood, Ian G.
1
2009
On inverse problems for finite trees. Zbl 1166.34002
Brown, B. M.; Weikard, R.
1
2009
Titchmarsh’s asymptotic formula for periodic eigenvalues and an extension to the \(p\)-Laplacian. Zbl 1145.34056
Brown, B. M.; Eastham, M. S. P.
3
2008
An example on the discrete spectrum of a star graph. Zbl 1165.35033
Brown, B. M.; Eastham, M. S. P.; Wood, I. G.
2
2008
Conditions for the spectrum associated with an asymptotically straight leaky wire to contain an interval \([-\alpha^{2}/4, \infty)\). Zbl 1192.81148
Brown, B. M.; Eastham, M. S. P.; Wood, I. G.
1
2008
The HELP inequality on trees. Zbl 1165.26315
Brown, B. Malcolm; Langer, Matthias; Schmidt, Karl Michael
1
2008
Eigenvalues of the radial \(p\)-Laplacian with a potential on \((0,\infty)\). Zbl 1133.34043
Brown, B. M.; Eastham, M. S. P.
4
2007
Bounds for the positive eigenvalues of the \(p\)-Laplacian with decaying potential. Zbl 1111.34060
Brown, B. M.; Eastham, M. S. P.
2
2007
Extensions of the Kummer evaluation of a finite hypergeometric series. Zbl 1093.33002
Brown, B. M.; Eastham, M. S. P.
1
2006
A Borg-Levinson theorem for trees. Zbl 1370.34051
Brown, B. M.; Weikard, R.
48
2005
A variational approach to an elastic inverse problem. Zbl 1274.35407
Brown, B. M.; Jais, M.; Knowles, I. W.
18
2005
On the Krein and Friedrichs extensions of a positive Jacobi operator. Zbl 1078.39019
Brown, B. Malcolm; Christiansen, Jacob S.
10
2005
The inverse resonance problem for Jacobi operators. Zbl 1148.39305
Brown, B. M.; Naboko, S.; Weikard, R.
7
2005
Spectral inclusion and spectral exactness for PDEs on exterior domains. Zbl 1057.65079
Brown, B. M.; Marletta, M.
10
2004
Eigenvalues of the radially symmetric \(p\)-Laplacian in \(\mathbb{R}^n\). Zbl 1058.34114
Brown, B. M.; Reichel, W.
9
2004
The inverse resonance problem for perturbations of algebro-geometric potentials. Zbl 1053.34009
Brown, B. M.; Weikard, R.
4
2004
Distribution of eigenvalues in gaps of the essential spectrum of Sturm-Liouville operators – a numerical approach. Zbl 1092.34045
Brown, B.; Eastham, Michael S. P.; Hinz, Andreas M.; Schmidt, Karl Michael
4
2004
Extended Hurwitz results for hypergeometric functions arising in spectral theory. Zbl 1044.33002
Brown, B. M.; Eastham, M. S. P.
2
2004
Spectral concentrations and resonances of a second-order block operator matrix and an associated \(\lambda\)-rational Sturm-Liouville problem. Zbl 1083.34017
Brown, B. Malcolm; Langer, Matthias; Marletta, Marco
1
2004
Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems. Zbl 1055.34048
Brown, B. M.; Evans, W. D.; Plum, M.
17
2003
On the inverse resonance problem. Zbl 1050.34004
Brown, B. M.; Knowles, I.; Weikard, R.
16
2003
Spectral inclusion and spectral exactness for singular non-self-adjoint Hamiltonian systems. Zbl 1078.34064
Brown, B. M.; Marletta, M.
15
2003
Inverse spectral problem for the Sturm-Liouville equation. Zbl 1021.65037
Brown, B. M.; Samko, V. S.; Knowles, I. W.; Marletta, M.
10
2003
Eigenvalue bounds for the singular Sturm-Liouville problem with a complex potential. Zbl 1058.34113
Brown, B. M.; Langer, M.; Marletta, M.; Tretter, C.; Wagenhofer, M.
5
2003
The Hurwitz theorem for Bessel functions and antibound states in spectral theory. Zbl 1047.33001
Brown, B. M.; Eastham, M. S. P.
3
2003
Computing eigenvalues and Fučik-spectrum of the radially symmetric \(p\)-Laplacian. Zbl 1020.65083
Brown, B. M.; Reichel, W.
12
2002
A local Borg-Marchenko theorem for complex potentials. Zbl 1019.34025
Brown, B. M.; Peacock, R. A.; Weikard, R.
8
2002
A limit point criterion with applications to nonselfadjoint equations. Zbl 1019.34037
Bennewitz, C.; Brown, B. M.
8
2002
Analytic continuation and resonance-free regions for Sturm-Liouville potentials with power decay. Zbl 1019.34032
Brown, B. M.; Eastham, M. S. P.
6
2002
On the location of resonances of exponentially decaying Sturm-Liouville potentials. Zbl 1001.34018
Brown, B. M.; Eastham, M. S. P.
1
2002
Spectral inclusion and spectral exactness for singular non-self-adjoint Sturm-Liouville problems. Zbl 0992.34017
Brown, B. M.; Marletta, M.
15
2001
An efficient direct solver for a class of mixed finite element problems. Zbl 0982.65119
Brown, B. M.; Jimack, P. K.; Mihajlović, M. D.
2
2001
A numerical investigation of the solution of a class of fourth-order eigenvalue problems. Zbl 0977.65101
Brown, B. M.; Davies, E. B.; Jimack, P. K.
10
2000
Resonances and analytic continuation for exponentially decaying Sturm-Liouville potentials. Zbl 0979.34018
Brown, B. M.; Eastham, M. S. P.; McCormack, D. K. R.
4
2000
Spectral concentration for perturbed equations of harmonic oscillator type. Zbl 0953.34067
Brown, B. M.; Eastham, M. S. P.
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
Guaranteed error bounds for eigenvalues of singular Sturm-Liouville problems. Zbl 0957.65078
Brown, B. M.; McCormack, D. K. R.; Marletta, M.
1
2000
The HELP inequality for lim-\(p\) Hamiltonian systems. Zbl 1007.34024
Brown, B. M.; Marletta, M.
1
2000
A computational investigation of an integro-differential inequality with periodic potential. Zbl 0972.34021
Brown, B. M.; Kirby, V. G.
1
2000
On the spectrum of second-order differential operators with complex coefficients. Zbl 0944.34018
Brown, B. M.; McCormack, D. K. R.; Evans, W. D.; Plum, M.
29
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
The HELP inequality for Hamiltonian systems. Zbl 1088.34538
Brown, B. M.; Evans, W. D.; Marletta, M.
1
1999
Welsh eigenvalues of radially periodic Schrödinger operators. Zbl 0915.35076
Brown, B. Malcolm; Eastham, Michael S. P.; Hinz, Andreas M.; Kriecherbauer, Thomas; McCormack, Daniel K. R.; Schmidt, Karl Michael
6
1998
Absolute continuity and spectral concentration for slowly decaying potentials. Zbl 0928.34023
Brown, B. M.; Eastham, M. S. P.; McCormack, D. K. R.
5
1998
A catalogue of HELP and HELP-type integral and series inequalities. Zbl 0898.26005
Benammar, M.; Bennewitz, C.; Beynon, M. J.; Brown, B. M.; Dias, N. G. J.; Evans, W. D.; Everitt, W. N.; Kirby, V. G.; Littlejohn, L. L.
2
1998
Spectral concentration and rapidly decaying potentials. Zbl 0886.34022
Brown, B. M.; Eastham, M. S. P.; McCormack, D. K. R.
11
1997
Spectral concentration and perturbed discrete spectra. Zbl 0893.34020
Brown, B. M.; Eastham, M. S. P.; McCormack, D. K. R.
5
1997
The computation of the Titchmarsh-Weyl \(m\)-function. Zbl 0879.34034
Brown, B. M.; Evans, W. D.
3
1997
Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix. Zbl 0883.34026
Brown, B. M.; Eastham, M. S. P.; McCormack, D. K. R.; Evans, W. D.
1
1997
The HELP type integral inequalities for \(2n^{\text{th}}\) order differential operators. Zbl 0888.26012
Brown, B. M.; Dias, N. G. J.
1
1997
The Askey-Wilson polynomials and \(q\)-Sturm-Liouville problems. Zbl 0860.33012
Brown, B. Malcolm; Evans, W. Desmond; Ismail, Mourad E. H.
15
1996
Computation of the \(M\) matrix for fourth-order problems. Zbl 0869.34012
Bennewitz, C.; Brown, B. M.; Evans, W. D.; McCormack, D. K. R. M.; Marletta, Marco
1
1996
A right inverse of the Askey-Wilson operator. Zbl 0828.33013
Brown, B. Malcolm; Ismail, Mourad E. H.
9
1995
Repeated diagonalization and the numerical computation of the Titchmarsh- Weyl \(m(\lambda)\)-function. Zbl 0807.65089
Brown, B. M.; Eastham, M. S. P.; Evans, W. D.; Kirby, V. G.
4
1994
Two integral inequalities. Zbl 0882.26009
Brown, B. M.; Evans, W. D.; Everitt, W. N.; Kirby, V. G.
2
1994
Safe numerical bounds for the Titchmarsh-Weyl \(m(\lambda)\)-function. Zbl 0837.65089
Brown, B. M.; Kirby, V. G.; Evans, W. D.; Plum, M.
5
1993
Orthogonal polynomials and extensions of Copson’s inequality. Zbl 0814.26009
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
3
1993
On an extension of Copson’s inequality for infinite series. Zbl 0754.26010
Brown, B. M.; Evans, W. D.
5
1992
Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators. Zbl 0761.39007
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
2
1992
HELP integral and series inequalities. Zbl 0764.26010
Brown, B. M.; Evans, W. D.; Everitt, W. N.
2
1992
A numerical method for the determination of the Titchmarsh-Weyl \(m\)- coefficient. Zbl 0742.34024
Brown, B. M.; Kirby, V. G.; Pryce, J. D.
4
1991
Numerical determination of the Titchmarsh-Weyl m-coefficient and its applications to HELP inequalities. Zbl 0694.65039
Brown, B. M.; Kirby, V. G.; Pryce, J. D.
4
1989
On the limit-point and strong limit-point classification of \(2n\)-th order differential expressions with wildly oscillating coefficients. Zbl 0259.34035
Brown, B. Malcolm; Evans, W. Desmond
4
1974
On the distribution of the zeros of a polynomial. Zbl 0136.25305
Brown, B. M.
8
1965
The mathematical theory of linear systems. Zbl 0113.29403
Brown, B. M.
1
1961
all top 5

Cited by 424 Authors

30 Brown, B. Malcolm
19 Behrndt, Jussi
17 Eastham, Michael S. P.
17 Yurko, Vjacheslav Anatoljevich
10 Korotyaev, Evgeny L.
10 Naboko, Serguei N.
10 Sun, Huaqing
10 Wood, Ian Geoffrey
9 Ismail, Mourad El-Houssieny
9 Marletta, Marco
9 Qi, Jiangang
9 Raza, Nauman
9 Weikard, Rudi
8 Eckhardt, Jonathan
8 Kurasov, Pavel B.
8 Malamud, Mark M.
8 Sial, Sultan
7 Gesztesy, Fritz
7 Lotoreichik, Vladimir
7 Rohleder, Jonathan
6 Avdonin, Sergeĭ Anatol’evich
6 Exner, Pavel
6 Grubb, Gerd
6 Kostenko, Aleksey S.
6 Zemánek, Petr
5 Evans, William Desmond
5 Langer, Matthias
5 Tretter, Christiane
4 Mitrea, Marius
4 Pivovarchik, Vyacheslav N.
4 Plum, Michael
4 Schmidt, Karl Michael
4 Shi, Yuming
4 Siddiqi, Shahid Saeed
4 ter Elst, Antonius Frederik Maria
4 Yang, Chuanfu
3 Bennewitz, Christer
3 Bögli, Sabine
3 Bondarenko, Natalia P.
3 Bouzeffour, Fethi
3 Butt, Asma Rashid
3 Gleyse, Bernard
3 Khrabustovskyi, Andrii
3 Moflih, M.
3 Neidhardt, Hagen
3 Pearson, David B.
3 Rahman, Mizan
3 Rozhenko, Natalia A.
3 Šimon Hilscher, Roman
3 Sun, Shurong
3 Trunk, Carsten
3 Wang, Wei-Chuan
3 Xie, Bing
3 Zettl, Anton
3 Zinchenko, Maxim
2 Bell, Jonathan
2 Beretta, Elena
2 Binding, Paul Anthony
2 Bledsoe, Matthew
2 Bohner, Martin J.
2 Browne, Patrick J.
2 Brüning, Jochen
2 Buterin, Sergey Alexandrovich
2 Chanane, Bilal
2 Chen, Wei
2 Davies, Edward Brian
2 De Coster, Colette
2 do Espírito Santo, Júlio César
2 Dorn, Oliver
2 Ercole, Grey
2 Fischbacher, Christoph
2 Freiling, Gerhard
2 Fulton, Charles T.
2 Galiffa, Daniel Joseph
2 Hansen, Anders C.
2 Hasil, Petr
2 Hiles, Alex J.
2 Hinton, Don Barker
2 Hoang, Vu Phuong
2 Ishkin, Khabir Kabirovich
2 Javid, Ahmad
2 Kaltenbacher, Barbara
2 Kirby, V. G.
2 Koyunbakan, Hikmet
2 Kozhan, Rostyslav V.
2 Li, Xin
2 Lin, Qun
2 Liu, Yan
2 Makarov, Valeri A.
2 Martins, Eder Marinho
2 Mikhaylov, Victor S.
2 Mogilevskii, Vadim
2 Nazarov, Sergeĭ Aleksandrovich
2 Neuberger, John W.
2 Nicaise, Serge
2 Nichols, Roger
2 Ong, Boon-Wee
2 Popov, Igor’ Yur’evich
2 Posilicano, Andrea
2 Pruess, Steven A.
...and 324 more Authors
all top 5

Cited in 131 Serials

32 Journal of Computational and Applied Mathematics
28 Journal of Mathematical Analysis and Applications
15 Journal of Differential Equations
12 Integral Equations and Operator Theory
9 Journal of Functional Analysis
8 Applied Mathematics and Computation
8 Proceedings of the American Mathematical Society
7 Journal of Mathematical Physics
6 Mathematical Notes
6 Advances in Mathematics
6 Mathematische Nachrichten
6 Linear Algebra and its Applications
6 Differential Equations
5 Applicable Analysis
5 Computers & Mathematics with Applications
5 Journal of Computational Physics
5 Mathematical Methods in the Applied Sciences
5 Mathematika
5 Transactions of the American Mathematical Society
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Annales Henri Poincaré
5 Inverse Problems in Science and Engineering
5 Inverse Problems and Imaging
5 Journal of Spectral Theory
5 Analysis and Mathematical Physics
4 Inverse Problems
4 Journal d’Analyse Mathématique
4 Russian Journal of Mathematical Physics
4 Journal of Mathematical Sciences (New York)
4 Journal of Inverse and Ill-Posed Problems
4 Journal of Difference Equations and Applications
4 Abstract and Applied Analysis
3 Letters in Mathematical Physics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Journal of Approximation Theory
3 Results in Mathematics
3 Advances in Applied Mathematics
3 Communications in Partial Differential Equations
3 International Journal of Computer Mathematics
3 Electronic Journal of Differential Equations (EJDE)
3 Positivity
3 Communications in Contemporary Mathematics
3 Advances in Difference Equations
3 Boundary Value Problems
3 Complex Analysis and Operator Theory
2 Communications in Mathematical Physics
2 Computer Methods in Applied Mechanics and Engineering
2 Reports on Mathematical Physics
2 Rocky Mountain Journal of Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Constructive Approximation
2 Applied Mathematics Letters
2 SIAM Journal on Mathematical Analysis
2 Advances in Computational Mathematics
2 Opuscula Mathematica
2 Mathematical Physics, Analysis and Geometry
2 LMS Journal of Computation and Mathematics
2 Journal of Nonlinear Mathematical Physics
2 Journal of Physics A: Mathematical and Theoretical
2 Bulletin of Mathematical Sciences
1 Archive for Rational Mechanics and Analysis
1 Israel Journal of Mathematics
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Linear and Multilinear Algebra
1 Moscow University Physics Bulletin
1 Russian Mathematical Surveys
1 Studia Mathematica
1 Arkiv för Matematik
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Optimization
1 Bulletin de la Société Mathématique de France
1 Computing
1 Inventiones Mathematicae
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Mathematics and Computers in Simulation
1 Nagoya Mathematical Journal
1 Numerische Mathematik
1 Quaestiones Mathematicae
1 SIAM Journal on Control and Optimization
1 Transactions of the Moscow Mathematical Society
1 Circuits, Systems, and Signal Processing
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Probability Theory and Related Fields
1 Facta Universitatis. Series Mathematics and Informatics
1 Journal of the American Mathematical Society
1 Asymptotic Analysis
1 Applications of Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Review
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Celestial Mechanics and Dynamical Astronomy
1 SIAM Journal on Optimization
...and 31 more Serials
all top 5

Cited in 44 Fields

185 Ordinary differential equations (34-XX)
148 Operator theory (47-XX)
115 Partial differential equations (35-XX)
55 Numerical analysis (65-XX)
43 Quantum theory (81-XX)
26 Difference and functional equations (39-XX)
25 Special functions (33-XX)
14 Optics, electromagnetic theory (78-XX)
12 Dynamical systems and ergodic theory (37-XX)
12 Functional analysis (46-XX)
11 Real functions (26-XX)
10 Functions of a complex variable (30-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Combinatorics (05-XX)
8 Fluid mechanics (76-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Probability theory and stochastic processes (60-XX)
7 Mechanics of particles and systems (70-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Mechanics of deformable solids (74-XX)
6 Systems theory; control (93-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Information and communication theory, circuits (94-XX)
3 Field theory and polynomials (12-XX)
3 Potential theory (31-XX)
3 Computer science (68-XX)
3 Biology and other natural sciences (92-XX)
2 Sequences, series, summability (40-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
2 Geophysics (86-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year