## Currie, Sonja

Compute Distance To:
 Author ID: currie.sonja Published as: Currie, Sonja; Currie, S. Homepage: http://www.wits.ac.za/staff/sonja.currie.htm External Links: MGP
 Documents Indexed: 28 Publications since 2005 Reviewing Activity: 14 Reviews Co-Authors: 6 Co-Authors with 27 Joint Publications 35 Co-Co-Authors
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### Co-Authors

 1 single-authored 16 Watson, Bruce Alastair 9 Love, Anne D. 5 Nowaczyk, Marlena 4 Roth, Thomas T. 2 Archibald, Margaret 2 Bartels, Casey
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### Serials

 3 Advances in Difference Equations 3 Boundary Value Problems 3 Operators and Matrices 2 Mathematical Methods in the Applied Sciences 2 Journal of Computational and Applied Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Quaestiones Mathematicae 2 Journal of Mathematical Chemistry 2 Complex Analysis and Operator Theory 1 Inverse Problems 1 Integral Equations and Operator Theory 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Difference Equations and Applications 1 Mediterranean Journal of Mathematics 1 Commentationes Mathematicae
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### Fields

 23 Ordinary differential equations (34-XX) 9 Difference and functional equations (39-XX) 6 Operator theory (47-XX) 2 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

19 Publications have been cited 69 times in 59 Documents Cited by Year
Inverse nodal problems for Sturm-Liouville equations on graphs. Zbl 1134.34005
Currie, Sonja; Watson, Bruce A.
2007
Eigenvalue asymptotics for differential operators on graphs. Zbl 1082.34073
Currie, Sonja; Watson, Bruce A.
2005
Green’s functions and regularized traces of Sturm–Liouville operators on graphs. Zbl 1154.47036
Currie, Sonja; Watson, Bruce A.
2008
Hierarchies of difference boundary value problems. II: Applications. Zbl 1390.39055
Currie, Sonja; Love, Anne D.
2014
The $$M$$-matrix inverse problem for the Sturm-Liouville equation on graphs. Zbl 1181.34020
Currie, Sonja; Watson, Bruce A.
2009
Dirichlet-Neumann bracketing for boundary-value problems on graphs. Zbl 1097.47043
Currie, Sonja; Watson, Bruce A.
2005
Hierarchies of difference boundary value problems continued. Zbl 1321.39002
Currie, Sonja; Love, Anne D.
2013
Transformations of difference equations. I. Zbl 1198.39001
Currie, Sonja; Love, Anne D.
2010
Sturm-Liouville problems with transfer condition Herglotz dependent on the eigenparameter: Hilbert space formulation. Zbl 1409.34035
Bartels, Casey; Currie, Sonja; Nowaczyk, Marlena; Watson, Bruce Alastair
2018
Hierarchies of difference boundary value problems. Zbl 1216.39002
Currie, Sonja; Love, Anne D.
2011
Indefinite boundary value problems on graphs. Zbl 1254.34046
Currie, Sonja; Watson, Bruce A.
2011
Quadratic eigenvalue problems for second order systems. Zbl 1280.34020
Currie, Sonja; Watson, Bruce A.
2012
Eigenvalue interlacing for first order differential systems with periodic $$2 \times 2$$ matrix potentials and quasi-periodic boundary conditions. Zbl 1409.34075
Currie, Sonja; Roth, Thomas T.; Watson, Bruce A.
2018
Borg’s periodicity theorems for first-order self-adjoint systems with complex potentials. Zbl 1375.34029
Currie, Sonja; Roth, Thomas T.; Watson, Bruce A.
2017
Transformations of difference equations. II. Zbl 1202.39001
Currie, Sonja; Love, Anne D.
2010
First-order systems in $$\mathbb{C}^2$$ on $$\mathbb R$$ with periodic matrix potentials and vanishing instability intervals. Zbl 1344.34034
Currie, Sonja; Roth, Thomas T.; Watson, Bruce A.
2015
Erratum to: “Hierarchies of difference boundary value problems”. Zbl 1273.39005
Currie, Sonja; Love, Anne D.
2012
Forward scattering on the line with a transfer condition. Zbl 1291.34144
Currie, Sonja; Nowaczyk, Marlena; Watson, Bruce A.
2013
Finding the hole in a wall. Zbl 1473.82034
Archibald, M.; Currie, S.; Nowaczyk, M.
2020
Finding the hole in a wall. Zbl 1473.82034
Archibald, M.; Currie, S.; Nowaczyk, M.
2020
Sturm-Liouville problems with transfer condition Herglotz dependent on the eigenparameter: Hilbert space formulation. Zbl 1409.34035
Bartels, Casey; Currie, Sonja; Nowaczyk, Marlena; Watson, Bruce Alastair
2018
Eigenvalue interlacing for first order differential systems with periodic $$2 \times 2$$ matrix potentials and quasi-periodic boundary conditions. Zbl 1409.34075
Currie, Sonja; Roth, Thomas T.; Watson, Bruce A.
2018
Borg’s periodicity theorems for first-order self-adjoint systems with complex potentials. Zbl 1375.34029
Currie, Sonja; Roth, Thomas T.; Watson, Bruce A.
2017
First-order systems in $$\mathbb{C}^2$$ on $$\mathbb R$$ with periodic matrix potentials and vanishing instability intervals. Zbl 1344.34034
Currie, Sonja; Roth, Thomas T.; Watson, Bruce A.
2015
Hierarchies of difference boundary value problems. II: Applications. Zbl 1390.39055
Currie, Sonja; Love, Anne D.
2014
Hierarchies of difference boundary value problems continued. Zbl 1321.39002
Currie, Sonja; Love, Anne D.
2013
Forward scattering on the line with a transfer condition. Zbl 1291.34144
Currie, Sonja; Nowaczyk, Marlena; Watson, Bruce A.
2013
Quadratic eigenvalue problems for second order systems. Zbl 1280.34020
Currie, Sonja; Watson, Bruce A.
2012
Erratum to: “Hierarchies of difference boundary value problems”. Zbl 1273.39005
Currie, Sonja; Love, Anne D.
2012
Hierarchies of difference boundary value problems. Zbl 1216.39002
Currie, Sonja; Love, Anne D.
2011
Indefinite boundary value problems on graphs. Zbl 1254.34046
Currie, Sonja; Watson, Bruce A.
2011
Transformations of difference equations. I. Zbl 1198.39001
Currie, Sonja; Love, Anne D.
2010
Transformations of difference equations. II. Zbl 1202.39001
Currie, Sonja; Love, Anne D.
2010
The $$M$$-matrix inverse problem for the Sturm-Liouville equation on graphs. Zbl 1181.34020
Currie, Sonja; Watson, Bruce A.
2009
Green’s functions and regularized traces of Sturm–Liouville operators on graphs. Zbl 1154.47036
Currie, Sonja; Watson, Bruce A.
2008
Inverse nodal problems for Sturm-Liouville equations on graphs. Zbl 1134.34005
Currie, Sonja; Watson, Bruce A.
2007
Eigenvalue asymptotics for differential operators on graphs. Zbl 1082.34073
Currie, Sonja; Watson, Bruce A.
2005
Dirichlet-Neumann bracketing for boundary-value problems on graphs. Zbl 1097.47043
Currie, Sonja; Watson, Bruce A.
2005
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### Cited by 57 Authors

 19 Yang, Chuanfu 12 Currie, Sonja 6 Love, Anne D. 5 Watson, Bruce Alastair 4 Shieh, Chung-Tsun 4 Wang, Yuping 3 Gao, Chenghua 3 Hu, Yiteng 3 Huang, Zhenyou 2 Ferzullazadeh, Abid G. 2 Koyunbakan, Hikmet 2 Lv, Li 2 Miao, Hongyi 2 Nowaczyk, Marlena 2 Wang, Yali 2 Xu, Xiaochuan 2 Yurko, Vjacheslav Anatoljevich 1 Archibald, Margaret 1 Bai, Yu 1 Bartels, Casey 1 Bondarenko, Natalia P. 1 Buterin, Sergey Alexandrovich 1 Cacciapuoti, Claudio 1 Didenko, Victor D. 1 Freitas, Pedro 1 Ge, Cishui 1 Gernandt, Hannes 1 Graef, John R. 1 Guan, Shengyu 1 Guliyev, Namig Jamiyyat oglu 1 Hofmann, Matthias 1 Kennedy, James Bernard 1 Keskin, Baki 1 Kiss, Márton 1 Kong, Lingju 1 Leugering, Günter 1 Li, Xiaolong 1 Lipovský, Jiří 1 Mehandiratta, Vaibhav 1 Mehra, Mani 1 Mugnolo, Delio 1 Nabiev, Ibrahim M. 1 Ozkan, Ahmet Sinan 1 Pivovarchik, Vyacheslav N. 1 Plümer, Marvin 1 Ramirez, Jorge M. 1 Rohleder, Jonathan 1 Roth, Thomas T. 1 Rozhenko, Natalia A. 1 Wang, Min 1 Wei, Guangsheng 1 Wei, Xianbiao 1 Yakhshimuratov, Alisher Bekchanovich 1 Yang, Xiaoping 1 Yu, Xiu-Juan 1 Zhang, Fei 1 Zhao, Chengbing
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### Cited in 36 Serials

 5 Inverse Problems in Science and Engineering 4 Complex Analysis and Operator Theory 3 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Integral Equations and Operator Theory 3 Quaestiones Mathematicae 3 Results in Mathematics 3 Operators and Matrices 2 Applicable Analysis 2 Journal of Differential Equations 2 Journal of Inverse and Ill-Posed Problems 2 Advances in Difference Equations 1 Israel Journal of Mathematics 1 Journal of Mathematical Biology 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Numerical Functional Analysis and Optimization 1 Bulletin of the Iranian Mathematical Society 1 Mathematical and Computer Modelling 1 Linear Algebra and its Applications 1 Journal of Difference Equations and Applications 1 Journal of Mathematical Chemistry 1 Taiwanese Journal of Mathematics 1 Fractional Calculus & Applied Analysis 1 Nonlinear Analysis. Real World Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Commentationes Mathematicae 1 Symmetry 1 Analysis and Mathematical Physics 1 Afrika Matematika
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### Cited in 15 Fields

 48 Ordinary differential equations (34-XX) 26 Operator theory (47-XX) 9 Difference and functional equations (39-XX) 5 Partial differential equations (35-XX) 4 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 2 Integral equations (45-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX)