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Author ID: rynne.bryan-p Recent zbMATH articles by "Rynne, Bryan P."
Published as: Rynne, Bryan P.; Rynne, B. P.; Rynne, Bryan
all top 5

Serials

13 Journal of Differential Equations
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Journal of Mathematical Analysis and Applications
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Journal of Number Theory
5 Electronic Journal of Differential Equations (EJDE)
4 Proceedings of the Edinburgh Mathematical Society. Series II
3 IMA Journal of Applied Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Acta Arithmetica
3 Mathematika
3 Topological Methods in Nonlinear Analysis
2 Proceedings of the American Mathematical Society
2 Nonlinear Analysis. Theory, Methods & Applications
2 Springer Undergraduate Mathematics Series
1 Journal of Electromagnetic Waves and Applications
1 Applicable Analysis
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Quarterly Journal of Mechanics and Applied Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin of the London Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Ergodic Theory and Dynamical Systems
1 Differential and Integral Equations
1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Journal on Mathematical Analysis
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Advances in Computational Mathematics
1 Communications in Applied Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 IEEE Transactions on Antennas and Propagation
1 Advances in Difference Equations
1 Lecture Notes in Computational Science and Engineering

Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 774 times in 548 Documents Cited by Year
The interior transmission problem and inverse scattering from inhomogeneous media. Zbl 0733.76065
Rynne, B. P.; Sleeman, B. D.
53
1991
\(L^{2}\) spaces and boundary value problems on time-scales. Zbl 1116.34021
Rynne, Bryan P.
44
2007
Infinitely many solutions of superlinear fourth order boundary value problems. Zbl 1017.34015
Rynne, Bryan P.
42
2002
A priori bounds and global existence of solutions of the steady-state Sel’kov model. Zbl 0960.35026
Davidson, F. A.; Rynne, B. P.
42
2000
Global bifurcation for 2\(m\)th-order boundary value problems and infinitely many solutions of superlinear problems. Zbl 1029.34015
Rynne, Bryan P.
40
2003
Spectral properties and nodal solutions for second-order, \(m\)-point boundary value problems. Zbl 1142.34010
Rynne, Bryan P.
40
2007
Bifurcation from zero or infinity in Sturm-Liouville problems which are not linearizable. Zbl 0918.34028
Rynne, Bryan P.
31
1998
Diophantine approximation and a lower bound for Hausdorff dimension. Zbl 0688.10049
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
26
1990
The Fucik spectrum of general Sturm-Liouville problems. Zbl 0976.34024
Rynne, Bryan P.
24
2000
Variational and non-variational eigenvalues of the \(p\)-Laplacian. Zbl 1136.35061
Binding, Paul A.; Rynne, Bryan P.
23
2008
Eigenfunction expansions in \(L^{2}\) spaces for boundary value problems on time-scales. Zbl 1125.34069
Davidson, Fordyce A.; Rynne, Bryan P.
21
2007
The spectrum of the periodic \(p\)-Laplacian. Zbl 1218.34100
Binding, Paul A.; Rynne, Bryan P.
18
2007
Hausdorff dimension and generalized simultaneous diophantine approximation. Zbl 0984.11038
Rynne, Bryan P.
17
1998
Global bifurcation on time scales. Zbl 0998.34024
Davidson, Fordyce A.; Rynne, Bryan P.
15
2002
Metric diophantine approximation and Hausdorff dimension on manifolds. Zbl 0677.10040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
15
1989
Non-resonance conditions for semilinear Sturm-Liouville problems with jumping nonlinearities. Zbl 0986.34021
Rynne, Bryan P.
14
2001
Khintchine-type theorems on manifolds. Zbl 0736.11040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
13
1991
\(p\)-Laplacian problems with jumping nonlinearities. Zbl 1103.34007
Rynne, Bryan P.
13
2006
Linear functional analysis. 2nd ed. Zbl 1144.46001
Rynne, Bryan P.; Youngson, Martin A.
13
2008
The structure of Rabinowitz’ global bifurcating continua for generic quasilinear elliptic equations. Zbl 0901.35007
Rynne, Bryan P.
12
1998
Half-eigenvalues of periodic Sturm–Liouville problems. Zbl 1073.34095
Binding, Paul A.; Rynne, Bryan P.
12
2004
Topics in computational wave propagation. Direct and inverse problems. Zbl 1018.00017
12
2003
Linear functional analysis. Zbl 0945.46001
Rynne, Bryan P.; Youngson, Martin A.
11
2000
Stability and convergence of time marching methods in scattering problems. Zbl 0616.65146
Rynne, B. P.
10
1985
Spectral properties of second-order, multi-point, \(p\)-Laplacian boundary value problems. Zbl 1194.34026
Rynne, Bryan P.
9
2010
Second-order, three-point, boundary value problems with jumping nonlinearities. Zbl 1151.34013
Rynne, Bryan P.
9
2008
Bifurcation from infinity in nonlinear Sturm-Liouville problems with different linearizations at \(u=\pm \infty\). Zbl 0901.34029
Rynne, Bryan P.
8
1997
Solution curves and exact multiplicity results for 2\(m\)th order boundary value problems. Zbl 1057.34004
Bari, Rehana; Rynne, Bryan P.
7
2004
Uniform convergence of multiparameter eigenfunction expansions. Zbl 0724.34088
Rynne, Bryan P.
7
1990
The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors. Zbl 0749.11037
Rynne, Bryan P.
6
1992
Regular and ubiquitous systems, and \(\mathcal M^{s}_{\infty}\)-dense sequences. Zbl 0760.28004
Rynne, Bryan P.
6
1992
Oscillating global continua of positive solutions of semilinear elliptic problems. Zbl 0932.35082
Rynne, Bryan P.
6
2000
Dirichlet’s theorem and diophantine approximation on manifolds. Zbl 0716.11029
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
6
1990
Bifurcation of positive solutions from zero or infinity in elliptic problems which are not linearizable. Zbl 0974.35042
Rynne, Bryan P.; Youngson, Martin A.
6
2001
Oscillation and interlacing for various spectra of the \(p\)-Laplacian. Zbl 1172.35462
Binding, Paul A.; Rynne, Bryan P.
6
2009
The Hausdorff dimension of small divisors for lower-dimensional KAM-tori. Zbl 0778.11042
Dodson, M. M.; Pöschel, J.; Rynne, B. P.; Vickers, J. A. G.
5
1992
Self-adjoint boundary-value problems on time-scales. Zbl 1138.34004
Davidson, Fordyce A.; Rynne, Bryan P.
5
2007
Curves of positive solutions of boundary value problems on time-scales. Zbl 1077.34022
Davidson, Fordyce A.; Rynne, Bryan P.
5
2004
Bifurcation from eigenvalues in nonlinear multiparameter problems. Zbl 0702.47043
Rynne, B. P.
5
1990
Spectral properties and nodal solutions for second-order, \(m\)-point, \(p\)-Laplacian boundary value problems. Zbl 1189.34032
Dodds, Niall; Rynne, Bryan P.
5
2008
Simultaneous diophantine approximation and asymptotic formulae on manifolds. Zbl 0858.11041
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
4
1996
The well-posedness of the integral equations for thin wire antennas. Zbl 0759.45004
Rynne, Bryan P.
4
1992
Solution curves of \(2m\)-th order boundary-value problems. Zbl 1060.34011
Rynne, Bryan P.
4
2004
Half-eigenvalues of self-adjoint, \(2m\)th-order differential operators and semilinear problems with jumping nonlinearities. Zbl 1028.34075
Rynne, Bryan P.
4
2001
Linear second-order problems with Sturm-Liouville-type multi-point boundary conditions. Zbl 1260.34032
Rynne, Bryan P.
4
2012
A lower bound for the Hausdorff dimension of sets of singular \(n\)-tuples. Zbl 0707.11056
Rynne, Bryan P.
4
1990
A global curve of stable, positive solutions for a \(p\)-Laplacian problem. Zbl 1201.34028
Rynne, Bryan P.
4
2010
Half-eigenvalues of elliptic operators. Zbl 1163.35451
Rynne, Bryan P.
4
2002
Spectral properties of \(p\)-Laplacian problems with Neumann and mixed-type multi-point boundary conditions. Zbl 1215.34106
Rynne, Bryan P.
4
2011
Second-order Sturm–Liouville problems with asymmetric, superlinear nonlinearities. Zbl 1037.34019
Rynne, Bryan P.
4
2003
Asymptotic oscillations of continua of positive solutions of a semilinear Sturm-Liouville problem. Zbl 0974.34023
Davidson, F. A.; Rynne, B. P.
4
2000
The formulation of second-order boundary value problems on time scales. Zbl 1139.39026
Davidson, Fordyce A.; Rynne, Bryan P.
3
2006
Eigenvalue criteria for existence of positive solutions of second-order, multi-point, \(p\)-Laplacian boundary value problems. Zbl 1237.34031
Rynne, Bryan P.
3
2010
Time-periodic solutions to semilinear parabolic equations. Zbl 0626.35006
Grindrod, Peter; Rynne, Bryan P.
3
1986
Multiparameter spectral theory of singular differential operators. Zbl 0647.47032
Rynne, B. P.
3
1988
Some recent results on the spectrum of multi-point eigenvalue problems for the \(p\)-Laplacian. Zbl 1257.34069
Genoud, François; Rynne, Bryan P.
3
2011
Second order, multi-point problems with variable coefficients. Zbl 1235.34051
Genoud, François; Rynne, Bryan P.
3
2011
The structure of the zero sets of nonlinear mappings near generic multiparameter eigenvalues. Zbl 0832.47050
Rynne, Bryan P.
2
1995
A posteriori error control for finite element approximations of the integral equation for thin wire antennas. Zbl 0998.65136
Carstensen, C.; Rynne, B. P.
2
2002
Global bifurcation in generic systems of nonlinear Sturm-Liouville problems. Zbl 0905.34021
Rynne, Bryan P.
2
1999
The well-posedness of the electric field integral equation for transient scattering from a perfectly conducting body. Zbl 0930.65146
Rynne, Bryan P.
2
1999
Generic properties of the Fucik spectrum of elliptic operators. Zbl 0947.35070
Rynne, B. P.
2
2000
Hausdorff dimension and a generalized form of simultaneous diophantine approximation. Zbl 0946.11019
Rynne, B. P.; Dickinson, H.
2
2000
The Hausdorff dimension of sets arising from diophantine approximation with a general error function. Zbl 0920.11056
Rynne, Bryan P.
2
1998
Some recent results on periodic, jumping nonlinearity problems. Zbl 1139.34023
Rynne, B. P.
2
2005
Landesman-Lazer conditions at half-eigenvalues of the \(p\)-Laplacian. Zbl 1278.34010
Genoud, François; Rynne, Bryan P.
2
2013
Averaging in multifrequency systems. Zbl 0663.70032
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
2
1989
Simultaneous Diophantine approximation on manifolds and Hausdorff dimension. Zbl 1018.11038
Rynne, Bryan P.
2
2003
Second order, Sturm-Liouville problems with asymmetric, superlinear nonlinearities. II. Zbl 1065.34021
Rynne, Bryan P.
2
2004
On the well-posedness of Pocklington’s equation for a straight wire antenna and convergence of numerical solutions. Zbl 1170.78368
Rynne, B. P.
2
2000
Simple bifurcation and global curves of solutions of \(p\)-Laplacian problems with radial symmetry. Zbl 1375.34031
Rynne, Bryan P.
2
2017
Landesman-Lazer conditions for resonant \(p\)-Laplacian problems with jumping nonlinearities. Zbl 1355.34049
Rynne, Bryan P.
2
2016
Global asymptotic stability of bifurcating, positive equilibria of \(p\)-Laplacian boundary value problems with \(p\)-concave nonlinearities. Zbl 1422.35097
Rynne, Bryan P.
2
2019
Exact multiplicity and stability of solutions of a 1-dimensional, \(p\)-Laplacian problem with positive convex nonlinearity. Zbl 1439.34027
Rynne, Bryan P.
2
2019
The asymptotic distribution of the eigenvalues of right definite multiparameter Sturm-Liouville systems. Zbl 0791.34024
Rynne, Bryan P.
1
1993
The Hausdorff dimension of exceptional sets associated with normal forms. Zbl 0831.11040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
1
1994
Bloch waves and multiparameter spectral theory. Zbl 0534.35073
Rynne, B. P.; Sleeman, B. D.
1
1983
Nonlinear multiparameter problems. Zbl 0544.47054
Rynne, B. P.
1
1984
Convergence of Galerkin method solutions of the integral equation for thin wire antennas. Zbl 0959.78011
Rynne, Bryan P.
1
2000
The structure of Rabinowitz’ global bifurcating continua for problems with weak nonlinearities. Zbl 0902.35013
Bari, Rehana; Rynne, Bryan P.
1
1997
The asymptotic distribution of the eigenvalues of multiparameter Sturm- Liouville systems. II. Zbl 0805.34026
Rynne, Bryan P.
1
1994
Genericity of hyperbolicity and saddle-node bifurcations in reaction-diffusion equations depending on a parameter. Zbl 0861.35010
Rynne, Bryan P.
1
1996
Nonresonance conditions for generalised \(\phi\)-Laplacian problems with jumping nonlinearities. Zbl 1193.34038
Rynne, Bryan P.
1
2009
The Hausdorff dimension of certain sets of singular n-tuples. Zbl 0712.11048
Rynne, Bryan P.
1
1990
Half eigenvalues and the Fučík spectrum of multi-point boundary value problems. Zbl 1247.34034
Genoud, François; Rynne, Bryan P.
1
2012
Multiparameter spectral theory and Taylor’s joint spectrum in Hilbert space. Zbl 0647.47031
Rynne, B. P.
1
1988
The time domain integral equation for a straight thin-wire antenna with the reduced kernel is not well-posed. Zbl 1368.78040
Davies, Penny J.; Rynne, Bryan P.; Zubik-Kowal, Barbara
1
2002
Non-resonance for Sturm-Liouville problems with jumping nonlinearities in terms of average values. Zbl 1081.34508
Rynne, Bryan P.
1
2002
Linear and nonlinear, second-order problems with Sturm-Liouville-type, multi-point boundary conditions. Zbl 1338.34055
Rynne, Bryan P.
1
2016
Linearized stability implies dynamic stability for equilibria of 1-dimensional, \(p\)-Laplacian boundary value problems. Zbl 1453.35121
Rynne, Bryan P.
1
2020
Linearized stability implies dynamic stability for equilibria of 1-dimensional, \(p\)-Laplacian boundary value problems. Zbl 1453.35121
Rynne, Bryan P.
1
2020
Global asymptotic stability of bifurcating, positive equilibria of \(p\)-Laplacian boundary value problems with \(p\)-concave nonlinearities. Zbl 1422.35097
Rynne, Bryan P.
2
2019
Exact multiplicity and stability of solutions of a 1-dimensional, \(p\)-Laplacian problem with positive convex nonlinearity. Zbl 1439.34027
Rynne, Bryan P.
2
2019
Simple bifurcation and global curves of solutions of \(p\)-Laplacian problems with radial symmetry. Zbl 1375.34031
Rynne, Bryan P.
2
2017
Landesman-Lazer conditions for resonant \(p\)-Laplacian problems with jumping nonlinearities. Zbl 1355.34049
Rynne, Bryan P.
2
2016
Linear and nonlinear, second-order problems with Sturm-Liouville-type, multi-point boundary conditions. Zbl 1338.34055
Rynne, Bryan P.
1
2016
Landesman-Lazer conditions at half-eigenvalues of the \(p\)-Laplacian. Zbl 1278.34010
Genoud, François; Rynne, Bryan P.
2
2013
Linear second-order problems with Sturm-Liouville-type multi-point boundary conditions. Zbl 1260.34032
Rynne, Bryan P.
4
2012
Half eigenvalues and the Fučík spectrum of multi-point boundary value problems. Zbl 1247.34034
Genoud, François; Rynne, Bryan P.
1
2012
Spectral properties of \(p\)-Laplacian problems with Neumann and mixed-type multi-point boundary conditions. Zbl 1215.34106
Rynne, Bryan P.
4
2011
Some recent results on the spectrum of multi-point eigenvalue problems for the \(p\)-Laplacian. Zbl 1257.34069
Genoud, François; Rynne, Bryan P.
3
2011
Second order, multi-point problems with variable coefficients. Zbl 1235.34051
Genoud, François; Rynne, Bryan P.
3
2011
Spectral properties of second-order, multi-point, \(p\)-Laplacian boundary value problems. Zbl 1194.34026
Rynne, Bryan P.
9
2010
A global curve of stable, positive solutions for a \(p\)-Laplacian problem. Zbl 1201.34028
Rynne, Bryan P.
4
2010
Eigenvalue criteria for existence of positive solutions of second-order, multi-point, \(p\)-Laplacian boundary value problems. Zbl 1237.34031
Rynne, Bryan P.
3
2010
Oscillation and interlacing for various spectra of the \(p\)-Laplacian. Zbl 1172.35462
Binding, Paul A.; Rynne, Bryan P.
6
2009
Nonresonance conditions for generalised \(\phi\)-Laplacian problems with jumping nonlinearities. Zbl 1193.34038
Rynne, Bryan P.
1
2009
Variational and non-variational eigenvalues of the \(p\)-Laplacian. Zbl 1136.35061
Binding, Paul A.; Rynne, Bryan P.
23
2008
Linear functional analysis. 2nd ed. Zbl 1144.46001
Rynne, Bryan P.; Youngson, Martin A.
13
2008
Second-order, three-point, boundary value problems with jumping nonlinearities. Zbl 1151.34013
Rynne, Bryan P.
9
2008
Spectral properties and nodal solutions for second-order, \(m\)-point, \(p\)-Laplacian boundary value problems. Zbl 1189.34032
Dodds, Niall; Rynne, Bryan P.
5
2008
\(L^{2}\) spaces and boundary value problems on time-scales. Zbl 1116.34021
Rynne, Bryan P.
44
2007
Spectral properties and nodal solutions for second-order, \(m\)-point boundary value problems. Zbl 1142.34010
Rynne, Bryan P.
40
2007
Eigenfunction expansions in \(L^{2}\) spaces for boundary value problems on time-scales. Zbl 1125.34069
Davidson, Fordyce A.; Rynne, Bryan P.
21
2007
The spectrum of the periodic \(p\)-Laplacian. Zbl 1218.34100
Binding, Paul A.; Rynne, Bryan P.
18
2007
Self-adjoint boundary-value problems on time-scales. Zbl 1138.34004
Davidson, Fordyce A.; Rynne, Bryan P.
5
2007
\(p\)-Laplacian problems with jumping nonlinearities. Zbl 1103.34007
Rynne, Bryan P.
13
2006
The formulation of second-order boundary value problems on time scales. Zbl 1139.39026
Davidson, Fordyce A.; Rynne, Bryan P.
3
2006
Some recent results on periodic, jumping nonlinearity problems. Zbl 1139.34023
Rynne, B. P.
2
2005
Half-eigenvalues of periodic Sturm–Liouville problems. Zbl 1073.34095
Binding, Paul A.; Rynne, Bryan P.
12
2004
Solution curves and exact multiplicity results for 2\(m\)th order boundary value problems. Zbl 1057.34004
Bari, Rehana; Rynne, Bryan P.
7
2004
Curves of positive solutions of boundary value problems on time-scales. Zbl 1077.34022
Davidson, Fordyce A.; Rynne, Bryan P.
5
2004
Solution curves of \(2m\)-th order boundary-value problems. Zbl 1060.34011
Rynne, Bryan P.
4
2004
Second order, Sturm-Liouville problems with asymmetric, superlinear nonlinearities. II. Zbl 1065.34021
Rynne, Bryan P.
2
2004
Global bifurcation for 2\(m\)th-order boundary value problems and infinitely many solutions of superlinear problems. Zbl 1029.34015
Rynne, Bryan P.
40
2003
Topics in computational wave propagation. Direct and inverse problems. Zbl 1018.00017
12
2003
Second-order Sturm–Liouville problems with asymmetric, superlinear nonlinearities. Zbl 1037.34019
Rynne, Bryan P.
4
2003
Simultaneous Diophantine approximation on manifolds and Hausdorff dimension. Zbl 1018.11038
Rynne, Bryan P.
2
2003
Infinitely many solutions of superlinear fourth order boundary value problems. Zbl 1017.34015
Rynne, Bryan P.
42
2002
Global bifurcation on time scales. Zbl 0998.34024
Davidson, Fordyce A.; Rynne, Bryan P.
15
2002
Half-eigenvalues of elliptic operators. Zbl 1163.35451
Rynne, Bryan P.
4
2002
A posteriori error control for finite element approximations of the integral equation for thin wire antennas. Zbl 0998.65136
Carstensen, C.; Rynne, B. P.
2
2002
The time domain integral equation for a straight thin-wire antenna with the reduced kernel is not well-posed. Zbl 1368.78040
Davies, Penny J.; Rynne, Bryan P.; Zubik-Kowal, Barbara
1
2002
Non-resonance for Sturm-Liouville problems with jumping nonlinearities in terms of average values. Zbl 1081.34508
Rynne, Bryan P.
1
2002
Non-resonance conditions for semilinear Sturm-Liouville problems with jumping nonlinearities. Zbl 0986.34021
Rynne, Bryan P.
14
2001
Bifurcation of positive solutions from zero or infinity in elliptic problems which are not linearizable. Zbl 0974.35042
Rynne, Bryan P.; Youngson, Martin A.
6
2001
Half-eigenvalues of self-adjoint, \(2m\)th-order differential operators and semilinear problems with jumping nonlinearities. Zbl 1028.34075
Rynne, Bryan P.
4
2001
A priori bounds and global existence of solutions of the steady-state Sel’kov model. Zbl 0960.35026
Davidson, F. A.; Rynne, B. P.
42
2000
The Fucik spectrum of general Sturm-Liouville problems. Zbl 0976.34024
Rynne, Bryan P.
24
2000
Linear functional analysis. Zbl 0945.46001
Rynne, Bryan P.; Youngson, Martin A.
11
2000
Oscillating global continua of positive solutions of semilinear elliptic problems. Zbl 0932.35082
Rynne, Bryan P.
6
2000
Asymptotic oscillations of continua of positive solutions of a semilinear Sturm-Liouville problem. Zbl 0974.34023
Davidson, F. A.; Rynne, B. P.
4
2000
Generic properties of the Fucik spectrum of elliptic operators. Zbl 0947.35070
Rynne, B. P.
2
2000
Hausdorff dimension and a generalized form of simultaneous diophantine approximation. Zbl 0946.11019
Rynne, B. P.; Dickinson, H.
2
2000
On the well-posedness of Pocklington’s equation for a straight wire antenna and convergence of numerical solutions. Zbl 1170.78368
Rynne, B. P.
2
2000
Convergence of Galerkin method solutions of the integral equation for thin wire antennas. Zbl 0959.78011
Rynne, Bryan P.
1
2000
Global bifurcation in generic systems of nonlinear Sturm-Liouville problems. Zbl 0905.34021
Rynne, Bryan P.
2
1999
The well-posedness of the electric field integral equation for transient scattering from a perfectly conducting body. Zbl 0930.65146
Rynne, Bryan P.
2
1999
Bifurcation from zero or infinity in Sturm-Liouville problems which are not linearizable. Zbl 0918.34028
Rynne, Bryan P.
31
1998
Hausdorff dimension and generalized simultaneous diophantine approximation. Zbl 0984.11038
Rynne, Bryan P.
17
1998
The structure of Rabinowitz’ global bifurcating continua for generic quasilinear elliptic equations. Zbl 0901.35007
Rynne, Bryan P.
12
1998
The Hausdorff dimension of sets arising from diophantine approximation with a general error function. Zbl 0920.11056
Rynne, Bryan P.
2
1998
Bifurcation from infinity in nonlinear Sturm-Liouville problems with different linearizations at \(u=\pm \infty\). Zbl 0901.34029
Rynne, Bryan P.
8
1997
The structure of Rabinowitz’ global bifurcating continua for problems with weak nonlinearities. Zbl 0902.35013
Bari, Rehana; Rynne, Bryan P.
1
1997
Simultaneous diophantine approximation and asymptotic formulae on manifolds. Zbl 0858.11041
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
4
1996
Genericity of hyperbolicity and saddle-node bifurcations in reaction-diffusion equations depending on a parameter. Zbl 0861.35010
Rynne, Bryan P.
1
1996
The structure of the zero sets of nonlinear mappings near generic multiparameter eigenvalues. Zbl 0832.47050
Rynne, Bryan P.
2
1995
The Hausdorff dimension of exceptional sets associated with normal forms. Zbl 0831.11040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
1
1994
The asymptotic distribution of the eigenvalues of multiparameter Sturm- Liouville systems. II. Zbl 0805.34026
Rynne, Bryan P.
1
1994
The asymptotic distribution of the eigenvalues of right definite multiparameter Sturm-Liouville systems. Zbl 0791.34024
Rynne, Bryan P.
1
1993
The Hausdorff dimension of certain sets arising from Diophantine approximation by restricted sequences of integer vectors. Zbl 0749.11037
Rynne, Bryan P.
6
1992
Regular and ubiquitous systems, and \(\mathcal M^{s}_{\infty}\)-dense sequences. Zbl 0760.28004
Rynne, Bryan P.
6
1992
The Hausdorff dimension of small divisors for lower-dimensional KAM-tori. Zbl 0778.11042
Dodson, M. M.; Pöschel, J.; Rynne, B. P.; Vickers, J. A. G.
5
1992
The well-posedness of the integral equations for thin wire antennas. Zbl 0759.45004
Rynne, Bryan P.
4
1992
The interior transmission problem and inverse scattering from inhomogeneous media. Zbl 0733.76065
Rynne, B. P.; Sleeman, B. D.
53
1991
Khintchine-type theorems on manifolds. Zbl 0736.11040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
13
1991
Diophantine approximation and a lower bound for Hausdorff dimension. Zbl 0688.10049
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
26
1990
Uniform convergence of multiparameter eigenfunction expansions. Zbl 0724.34088
Rynne, Bryan P.
7
1990
Dirichlet’s theorem and diophantine approximation on manifolds. Zbl 0716.11029
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
6
1990
Bifurcation from eigenvalues in nonlinear multiparameter problems. Zbl 0702.47043
Rynne, B. P.
5
1990
A lower bound for the Hausdorff dimension of sets of singular \(n\)-tuples. Zbl 0707.11056
Rynne, Bryan P.
4
1990
The Hausdorff dimension of certain sets of singular n-tuples. Zbl 0712.11048
Rynne, Bryan P.
1
1990
Metric diophantine approximation and Hausdorff dimension on manifolds. Zbl 0677.10040
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
15
1989
Averaging in multifrequency systems. Zbl 0663.70032
Dodson, M. M.; Rynne, B. P.; Vickers, J. A. G.
2
1989
Multiparameter spectral theory of singular differential operators. Zbl 0647.47032
Rynne, B. P.
3
1988
Multiparameter spectral theory and Taylor’s joint spectrum in Hilbert space. Zbl 0647.47031
Rynne, B. P.
1
1988
Time-periodic solutions to semilinear parabolic equations. Zbl 0626.35006
Grindrod, Peter; Rynne, Bryan P.
3
1986
Stability and convergence of time marching methods in scattering problems. Zbl 0616.65146
Rynne, B. P.
10
1985
Nonlinear multiparameter problems. Zbl 0544.47054
Rynne, B. P.
1
1984
Bloch waves and multiparameter spectral theory. Zbl 0534.35073
Rynne, B. P.; Sleeman, B. D.
1
1983
all top 5

Cited by 622 Authors

45 Ma, Ruyun
41 Rynne, Bryan P.
12 O’Regan, Donal
11 Aliyev, Ziyatkhan S.
9 Binding, Paul Anthony
9 Tuna, Hüseyin
8 An, Yulian
8 Han, Jiayu
8 Wang, Mingxin
8 Yang, Yidu
8 Zhou, Jun
7 Yan, Ping
7 Zhang, Meirong
6 Chen, Lung-Hui
6 Hussain, Mumtaz
6 Kong, Qingkai
6 Kristensen, Simon
6 Li, Jichun
6 Li, Yongkun
6 Liu, Yansheng
6 Shen, Wenguo
6 Thompson, Harold Bevan
6 Wang, Baowei
6 Yan, Dongliang
5 Allahverdiev, Bilender Paşaoğlu
5 An, Jing
5 Beresnevich, Victor V.
5 Bi, Hai
5 Dodson, Michael Maurice
5 Gao, Chenghua
5 Papageorgiou, Nikolaos S.
5 Shibata, Tetsutaro
5 Su, Youhui
4 Bugeaud, Yann
4 Cakoni, Fioralba
4 Colton, David Lem
4 Davidson, Fordyce A.
4 Haddar, Houssem
4 Levesley, Jason
4 Liu, Hongyu
4 Lu, Yanqiong
4 Luo, Hua
4 Peng, Rui
4 Pinasco, Juan Pablo
4 Shparlinski, Igor E.
4 Wang, Jinxiang
4 Xu, Jia
4 Xu, Xian
4 Zhou, Jianwen
3 Adiceam, Faustin
3 Browne, Patrick J.
3 Chen, Changhao
3 Chen, Wenyan
3 Čiupaila, Regimantas
3 Dai, Guowei
3 Davies, Penny J.
3 Guedes de Figueiredo, Djairo
3 Duncan, Dugald B.
3 Feng, Zhaosheng
3 Galaktionov, Victor Aleksandrovich
3 Gurbanova, Ulkar V.
3 Hasanova, Shanay M.
3 He, Tao
3 Kim, Chan-Gyun
3 Kong, Lingju
3 Kress, Rainer
3 Mamedova, Gunay M.
3 Mustafayeva, Natavan A.
3 Pelekanos, George
3 Peng, Yunfei
3 Salort, Ariel Martin
3 Sapagovas, Mifodijus
3 Sevroglou, Vassilios
3 Sevryuk, Mikhail Borisovich
3 Shah, Nimish A.
3 Velani, Sanju L.
3 Xiang, Xiaoling
3 Xu, Man
3 Yılmaz, Emrah Sercan
2 Agarwal, Ravi P.
2 Allen, Demi
2 Amster, Pablo
2 Arutyunov, Aram Vladimirovic
2 Baustian, Falko
2 Bie, Qunyi
2 Blåsten, Eemeli
2 Blåsten, Emilia L. K.
2 Chakrabarti, Roma
2 Chappell, David J.
2 Chesnel, Lucas
2 Cheung, Yitwah
2 Datta, Shreyasi
2 de Nápoli, Pablo Luis
2 Dickinson, Detta
2 Eckhardt, Jonathan
2 Genoud, François
2 Goktas, Sertac
2 Guan, Yongliang
2 Gulgowski, Jacek
2 Gulsen, Tuba
...and 522 more Authors
all top 5

Cited in 187 Serials

42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
34 Journal of Mathematical Analysis and Applications
21 Journal of Differential Equations
20 Boundary Value Problems
13 Advances in Difference Equations
12 Abstract and Applied Analysis
11 Applicable Analysis
9 Applied Mathematics and Computation
8 Computers & Mathematics with Applications
8 Discrete Dynamics in Nature and Society
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Advances in Mathematics
7 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
6 Mathematical Methods in the Applied Sciences
6 Journal of Computational and Applied Mathematics
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Nonlinear Analysis. Real World Applications
5 Journal of Number Theory
5 Mathematika
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Results in Mathematics
5 Applied Mathematics Letters
5 Electronic Journal of Differential Equations (EJDE)
5 Advanced Nonlinear Studies
4 Journal of Computational Physics
4 Mathematische Annalen
4 Monatshefte für Mathematik
4 Journal of Scientific Computing
4 SIAM Journal on Mathematical Analysis
4 Journal of Inverse and Ill-Posed Problems
4 Journal of Mathematical Chemistry
4 Positivity
4 Communications in Contemporary Mathematics
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
4 Mediterranean Journal of Mathematics
4 Open Mathematics
3 Computer Methods in Applied Mechanics and Engineering
3 Inverse Problems
3 Nonlinearity
3 Mathematische Nachrichten
3 Transactions of the American Mathematical Society
3 Linear Algebra and its Applications
3 Computational and Applied Mathematics
3 Turkish Journal of Mathematics
3 Fractals
3 NoDEA. Nonlinear Differential Equations and Applications
3 Discrete and Continuous Dynamical Systems
3 Journal of Inequalities and Applications
3 Acta Mathematica Sinica. English Series
3 Communications in Nonlinear Science and Numerical Simulation
3 International Journal of Number Theory
3 Complex Variables and Elliptic Equations
3 Advances in Mathematical Physics
3 Science China. Mathematics
3 Electronic Research Archive
2 Journal d’Analyse Mathématique
2 Reports on Mathematical Physics
2 Mathematics of Computation
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annales Polonici Mathematici
2 Czechoslovak Mathematical Journal
2 International Journal for Numerical Methods in Engineering
2 Inventiones Mathematicae
2 Journal of Functional Analysis
2 Journal of Optimization Theory and Applications
2 Mathematische Zeitschrift
2 Numerische Mathematik
2 Quaestiones Mathematicae
2 SIAM Journal on Numerical Analysis
2 Zeitschrift für Analysis und ihre Anwendungen
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Numerical Mathematics
2 Mathematical and Computer Modelling
2 Geometric and Functional Analysis. GAFA
2 Communications in Partial Differential Equations
2 Journal of Elasticity
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Journal on Scientific Computing
2 Topological Methods in Nonlinear Analysis
2 Journal de Théorie des Nombres de Bordeaux
2 Filomat
2 Opuscula Mathematica
2 Journal of Difference Equations and Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Nonlinear Dynamics
2 Chaos
2 Annals of Mathematics. Second Series
2 Nonlinear Analysis. Modelling and Control
2 Discrete and Continuous Dynamical Systems. Series B
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Communications on Pure and Applied Analysis
2 Journal of Applied Mathematics and Computing
2 Central European Journal of Mathematics
2 Journal of Computational Acoustics
2 Inverse Problems in Science and Engineering
2 Journal of Fixed Point Theory and Applications
2 Inverse Problems and Imaging
2 Journal of Function Spaces
...and 87 more Serials
all top 5

Cited in 42 Fields

266 Ordinary differential equations (34-XX)
151 Partial differential equations (35-XX)
96 Operator theory (47-XX)
66 Number theory (11-XX)
57 Numerical analysis (65-XX)
39 Biology and other natural sciences (92-XX)
35 Dynamical systems and ergodic theory (37-XX)
30 Optics, electromagnetic theory (78-XX)
26 Global analysis, analysis on manifolds (58-XX)
21 Measure and integration (28-XX)
17 Difference and functional equations (39-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
15 Mechanics of deformable solids (74-XX)
12 Integral equations (45-XX)
10 Fluid mechanics (76-XX)
9 Real functions (26-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Quantum theory (81-XX)
7 Mechanics of particles and systems (70-XX)
7 Operations research, mathematical programming (90-XX)
6 Functional analysis (46-XX)
6 Differential geometry (53-XX)
6 Systems theory; control (93-XX)
5 Combinatorics (05-XX)
5 Topological groups, Lie groups (22-XX)
4 Information and communication theory, circuits (94-XX)
3 Approximations and expansions (41-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Probability theory and stochastic processes (60-XX)
2 Potential theory (31-XX)
2 Special functions (33-XX)
2 Abstract harmonic analysis (43-XX)
2 Statistics (62-XX)
2 Computer science (68-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Functions of a complex variable (30-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

Citations by Year