# zbMATH — the first resource for mathematics

## Currie, Sonja

Compute Distance To:
 Author ID: currie.sonja Published as: Currie, Sonja Homepage: http://www.wits.ac.za/staff/sonja.currie.htm External Links: MGP · Wikidata
 Documents Indexed: 25 Publications since 2005 Reviewing Activity: 14 Reviews

#### Co-Authors

 1 single-authored 15 Watson, Bruce Alastair 9 Love, Anne D. 4 Roth, Thomas T. 3 Nowaczyk, Marlena 1 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 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 Complex Analysis and Operator Theory 1 Commentationes Mathematicae

#### Fields

 22 Ordinary differential equations (34-XX) 9 Difference and functional equations (39-XX) 5 Operator theory (47-XX) 2 Numerical analysis (65-XX)

#### Citations contained in zbMATH

17 Publications have been cited 54 times in 44 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
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
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
Dirichlet-Neumann bracketing for boundary-value problems on graphs. Zbl 1097.47043
Currie, Sonja; Watson, Bruce A.
2005
Hierarchies of difference boundary value problems. II: Applications. Zbl 1390.39055
Currie, Sonja; Love, Anne D.
2014
Quadratic eigenvalue problems for second order systems. Zbl 1280.34020
Currie, Sonja; Watson, Bruce A.
2012
Indefinite boundary value problems on graphs. Zbl 1254.34046
Currie, Sonja; Watson, Bruce A.
2011
Hierarchies of difference boundary value problems. Zbl 1216.39002
Currie, Sonja; Love, Anne D.
2011
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
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
Forward scattering on the line with a transfer condition. Zbl 1291.34144
Currie, Sonja; Nowaczyk, Marlena; Watson, Bruce A.
2013
Erratum to: “Hierarchies of difference boundary value problems”. Zbl 1273.39005
Currie, Sonja; Love, Anne D.
2012
Transformations of difference equations. II. Zbl 1202.39001
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
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
Indefinite boundary value problems on graphs. Zbl 1254.34046
Currie, Sonja; Watson, Bruce A.
2011
Hierarchies of difference boundary value problems. Zbl 1216.39002
Currie, Sonja; Love, Anne D.
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
all top 5

#### Cited by 43 Authors

 17 Yang, Chuanfu 10 Currie, Sonja 6 Love, Anne D. 4 Watson, Bruce Alastair 3 Hu, Yiteng 3 Huang, Zhenyou 3 Shieh, Chung-Tsun 3 Wang, Yuping 2 Pivovarchik, Vyacheslav N. 2 Xu, Xiaochuan 2 Yurko, Vjacheslav Anatoljevich 1 Bai, Yu 1 Bondarenko, Natalia P. 1 Buterin, Sergey Alexandrovich 1 Cacciapuoti, Claudio 1 Cheng, Yanhong 1 Cheng, Ying-Hao 1 Didenko, Victor D. 1 Gao, Chenghua 1 Graef, John R. 1 Keskin, Baki 1 Kiss, Márton 1 Kong, Lingju 1 Koyunbakan, Hikmet 1 Leugering, Günter 1 Li, Xiaolong 1 Lian, Wun Chuan 1 Mehandiratta, Vaibhav 1 Mehra, Mani 1 Nowaczyk, Marlena 1 Ozkan, Ahmet Sinan 1 Ramirez, Jorge M. 1 Roth, Thomas T. 1 Rozhenko, N. N. 1 Rozhenko, Natalia A. 1 Wang, Feng 1 Wang, Min 1 Wang, Weichen 1 Wei, Guangsheng 1 Yakhshimuratov, Alisher Bekchanovich 1 Yang, Xiaoping 1 Yu, Xiu-Juan 1 Zhang, Fei
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#### Cited in 29 Serials

 3 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Inverse Problems in Science and Engineering 3 Complex Analysis and Operator Theory 2 Applicable Analysis 2 Integral Equations and Operator Theory 2 Journal of Differential Equations 2 Quaestiones Mathematicae 2 Results in Mathematics 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 Journal of Difference Equations and Applications 1 Fractional Calculus & Applied Analysis 1 Nonlinear Analysis. Real World Applications 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Operators and Matrices 1 Commentationes Mathematicae 1 Symmetry
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#### Cited in 10 Fields

 37 Ordinary differential equations (34-XX) 22 Operator theory (47-XX) 7 Difference and functional equations (39-XX) 4 Partial differential equations (35-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)

#### Wikidata Timeline

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