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## Aktosun, Tuncay

Compute Distance To:
 Author ID: aktosun.tuncay Published as: Aktosun, T.; Aktosun, Tuncay; Aktoşun, Tuncay
 Documents Indexed: 84 Publications since 1985, including 1 Book Reviewing Activity: 161 Reviews
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#### Co-Authors

 19 single-authored 31 Van der Mee, Cornelis Victor Maria 21 Klaus, Martin 10 Papanicolaou, Vassilis G. 8 Sacks, Paul E. 8 Weder, Ricardo A. 4 Demontis, Francesco 3 Choque Rivero, Abdon Eddy 2 Busse, Theresa 1 Borkowski, Michael H. 1 Cramer, Alyssa J. 1 Ercan, R. 1 Gintides, Drossos 1 Machuca, Alicia 1 Newton, Roger G. 1 Pittman, Lance C. 1 Rose, James H. 1 Unlu, Mehmet Burcin 1 Xu, Xiaochuan 1 Zisis, Vassilis
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#### Serials

 27 Journal of Mathematical Physics 26 Inverse Problems 3 Integral Equations and Operator Theory 2 Mathematical Methods in the Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Electronic Journal of Differential Equations (EJDE) 1 Journal of Mathematical Analysis and Applications 1 Journal of Computational and Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Physical Review Letters 1 Journal of Mathematical Physics, Analysis, Geometry 1 Applied Mathematical Sciences 1 Journal of Physics A: Mathematical and Theoretical
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#### Fields

 55 Ordinary differential equations (34-XX) 50 Quantum theory (81-XX) 33 Partial differential equations (35-XX) 16 Operator theory (47-XX) 8 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Integral equations (45-XX) 4 Biology and other natural sciences (92-XX) 3 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Functional analysis (46-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

65 Publications have been cited 437 times in 249 Documents Cited by Year
The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation. Zbl 1231.35295
Aktosun, Tuncay; Gintides, Drossos; Papanicolaou, Vassilis G.
2011
Exact solutions to the focusing nonlinear Schrödinger equation. Zbl 1126.35058
Aktosun, Tuncay; Demontis, Francesco; van der Mee, Cornelis
2007
Exact solutions to the sine-Gordon equation. Zbl 1314.35158
Aktosun, Tuncay; Demontis, Francesco; van der Mee, Cornelis
2010
Inverse spectral-scattering problem with two sets of discrete spectra for the radial Schrödinger equation. Zbl 1096.34064
Aktosun, Tuncay; Weder, Ricardo
2006
Wave scattering in one dimension with absorption. Zbl 1001.34074
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
1998
Direct and inverse scattering for selfadjoint Hamiltonian systems on the line. Zbl 0970.34072
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
2000
A factorization of the scattering matrix for the Schrödinger equation and for the wave equation in one dimension. Zbl 0762.35075
Aktosun, Tuncay
1992
Explicit solutions to the Korteweg–de Vries equation on the half line. Zbl 1105.35099
Aktosun, Tuncay; van der Mee, Cornelis
2006
Inverse problem on the line without phase information. Zbl 0902.34011
Aktosun, Tuncay; Sacks, Paul E.
1998
Inverse wave scattering with discontinuous wave speed. Zbl 0843.34080
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis V. M.
1995
On the Riemann–Hilbert problem for the one-dimensional Schrödinger equation. Zbl 0777.34056
Aktosun, Tuncay; Klaus, Martin; Van der Mee, Cornelis
1993
Small-energy asymptotics for the Schrödinger equation on the line. Zbl 0989.81129
Aktosun, Tuncay; Klaus, Martin
2001
Reconstruction of the wave speed from transmission eigenvalues for the spherically symmetric variable-speed wave equation. Zbl 1276.65073
Aktosun, Tuncay; Papanicolaou, Vassilis G.
2013
Inverse scattering in one-dimensional nonconservative media. Zbl 0916.34070
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
1998
High-energy analysis and Levinson’s theorem for the selfadjoint matrix Schrödinger operator on the half line. Zbl 1280.81032
Aktosun, Tuncay; Weder, Ricardo
2013
Small-energy analysis for the self-adjoint matrix Schrödinger operator on the half line. Zbl 1272.81048
Aktosun, Tuncay; Klaus, Martin; Weder, Ricardo
2011
On the number of bound states for the one-dimensional Schrödinger equation. Zbl 0931.34069
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
1998
Scattering and inverse scattering in one-dimensional nonhomogeneous media. Zbl 0760.35032
Aktosun, Tuncay; Klaus, Martin; Van der Mee, Cornelis
1992
Inverse Schrödinger scattering on the line with partial knowledge of the potential. Zbl 0844.34016
Aktosun, Tuncay
1996
On the Schrödinger equation with steplike potentials. Zbl 0968.81020
Aktosun, Tuncay
1999
Bound states and inverse scattering for the Schrödinger equation in one dimension. Zbl 0822.34070
Aktosun, Tuncay
1994
Construction of the half-line potential from the Jost function. Zbl 1071.34006
Aktosun, Tuncay
2004
Small-energy asymptotics of the scattering matrix for the matrix Schrödinger equation on the line. Zbl 1017.81046
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
2001
Factorization of scattering matrices due to partitioning of potentials in one-dimensional Schrödinger-type equations. Zbl 0910.34069
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
1996
Recovery of discontinuities in a non-homogeneous medium. Zbl 0848.34070
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis V. M.
1996
Explicit Wiener-Hopf factorization for certain non-rational matrix functions. Zbl 0790.47012
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
1992
Scattering and inverse scattering for the 1-D Schrödinger equation with energy-dependent potentials. Zbl 0758.35055
Aktosun, Tuncay; Van der Mee, Cornelis
1991
Symmetries for exact solutions to the nonlinear Schrödinger equation. Zbl 1189.37074
Aktosun, Tuncay; Busse, Theresa; Demontis, Francesco; van der Mee, Cornelis
2010
Small-energy analysis for the selfadjoint matrix Schrödinger operator on the half line. II. Zbl 1312.81058
Aktosun, Tuncay; Klaus, Martin; Weder, Ricardo
2014
Inverse scattering in 1-D nonhomogeneous media and recovery of the wave speed. Zbl 0756.34083
Aktosun, Tuncay; Klaus, Martin; Van der Mee, Cornelis
1992
Inverse problems for selfadjoint Schrödinger operators on the half line with compactly supported potentials. Zbl 1310.81145
Aktosun, Tuncay; Sacks, Paul; Unlu, Mehmet
2015
Time evolution of the scattering data for a fourth-order linear differential operator. Zbl 1231.34153
Aktosun, Tuncay; Papanicolaou, Vassilis G.
2008
Inverse scattering on the line for a generalized nonlinear Schrödinger equation. Zbl 1063.34006
Aktosun, Tuncay; Papanicolaou, Vassilis G.; Zisis, Vassilis
2004
Inverse scattering with partial information on the potential. Zbl 1012.34080
Aktosun, Tuncay; Weder, Ricardo
2002
Potential splitting and numerical solution of the inverse scattering problem on the line. Zbl 1054.34137
Aktosun, Tuncay; Sacks, Paul E.
2002
Factorization and small-energy asymptotics for the radial Schrödinger equation. Zbl 0973.81129
Aktosun, Tuncay
2000
Darboux transformation for the Schrödinger equation with steplike potentials. Zbl 0977.81012
Aktosun, Tuncay
2000
Non-uniqueness in the one-dimensional inverse scattering problem. Zbl 0602.47036
Aktosun, Tuncay; Newton, Roger G.
1985
Determining the shape of a human vocal tract from pressure measurements at the lips. Zbl 1381.34037
Aktosun, Tuncay; Machuca, Alicia; Sacks, Paul
2017
Transmission eigenvalues for the self-adjoint Schrödinger operator on the half line. Zbl 1305.34145
Aktosun, Tuncay; Papanicolaou, Vassilis G.
2014
Inverse scattering for vowel articulation with frequency-domain data. Zbl 1084.35117
Aktosun, Tuncay
2005
Inverse scattering on the line with incomplete scattering data. Zbl 1072.34010
Aktosun, Tuncay
2004
Integral equation methods for the inverse problem with discontinuous wave speed. Zbl 0897.34018
Aktosun, Tuncay; Klaus, Martin
1996
Scattering and inverse scattering for a second-order differential equation. Zbl 0773.34011
Aktosun, Tuncay
1993
Inverse scattering problem for the 3-D Schrödinger equation and Wiener- Hopf factorization of the scattering operator. Zbl 0724.47043
Aktosun, Tuncay; Van der Mee, Cornelis
1990
Stability of the Marchenko inversion. Zbl 0641.35070
Aktosun, Tuncay
1987
Marchenko inversion for perturbations: I. Zbl 0641.35068
Aktosun, Tuncay
1987
Inverse scattering on the half line for the matrix Schrödinger equation. Zbl 1430.34096
Aktosun, Tuncay; Weder, Ricardo
2018
Inverse problem with transmission eigenvalues for the discrete Schrödinger equation. Zbl 1323.81024
Aktosun, Tuncay; Papanicolaou, Vassilis G.
2015
Exact solutions to the nonlinear Schrödinger equation. Zbl 1190.37078
Aktosun, Tuncay; Busse, Theresa; Demontis, Francesco; van der Mee, Cornelis
2010
A unified approach to Darboux transformations. Zbl 1185.45006
Aktosun, Tuncay; van der Mee, Cornelis
2009
The Borg-Marchenko theorem with a continuous spectrum. Zbl 1108.34009
Aktosun, Tuncay; Weder, Ricardo
2006
Inversion of reflectivity data for nondecaying potentials. Zbl 0956.34073
Aktosun, Tuncay; Sacks, Paul E.
2000
Exact solutions of the Schrödinger equation and the non-uniqueness of inverse scattering on the line. Zbl 0645.34019
Aktosun, Tuncay
1988
Bound states of the discrete Schrödinger equation with compactly supported potentials. Zbl 1405.39009
Aktosun, Tuncay; Choque-Rivero, Abdon E.; Papanicolaou, Vassilis G.
2019
Inverse scattering to determine the shape of a vocal tract. Zbl 1110.35097
Aktosun, Tuncay
2006
Inverse scattering transform, KdV, and solitons. Zbl 1062.37087
Aktosun, Tuncay
2004
Wave focusing on the line. Zbl 1060.35066
Aktosun, Tuncay; Rose, James H.
2002
Phase recovery with nondecaying potentials. Zbl 0962.35183
Aktosun, Tuncay; Sacks, Paul E.
2000
Asymptotics of the scattering coefficients for a generalized Schrödinger equation. Zbl 0953.34071
Aktosun, Tuncay; Klaus, Martin
1999
Nonuniqueness in inverse acoustic scattering on the line. Zbl 0806.34014
Aktosun, Tuncay; Van der Mee, Cornelis
1994
Wiener-Hopf factorization in multidimensional inverse Schrödinger scattering. Zbl 0742.35044
Aktosun, Tuncay; Van der Mee, Cornelis
1991
Solution of the inverse scattering problem for the three-dimensional Schrödinger equation using a Fredholm integral equation. Zbl 0737.35049
Aktosun, Tuncay; Van der Mee, Cornelis
1991
Scattering for 1D Schrödinger equation with energy-dependent potentials and the recovery of the potential from the reflection coefficient. Zbl 1050.81706
Aktosun, Tuncay; van der Mee, Cornelis
1990
Examples of non-uniqueness in one-dimensional inverse scattering for which $$T(k)=O(k^ 3)$$ and $$O(k^ 4)$$ as k$$\to 0$$. Zbl 0625.35074
Aktosun, Tuncay
1987
Bound states of the discrete Schrödinger equation with compactly supported potentials. Zbl 1405.39009
Aktosun, Tuncay; Choque-Rivero, Abdon E.; Papanicolaou, Vassilis G.
2019
Inverse scattering on the half line for the matrix Schrödinger equation. Zbl 1430.34096
Aktosun, Tuncay; Weder, Ricardo
2018
Determining the shape of a human vocal tract from pressure measurements at the lips. Zbl 1381.34037
Aktosun, Tuncay; Machuca, Alicia; Sacks, Paul
2017
Inverse problems for selfadjoint Schrödinger operators on the half line with compactly supported potentials. Zbl 1310.81145
Aktosun, Tuncay; Sacks, Paul; Unlu, Mehmet
2015
Inverse problem with transmission eigenvalues for the discrete Schrödinger equation. Zbl 1323.81024
Aktosun, Tuncay; Papanicolaou, Vassilis G.
2015
Small-energy analysis for the selfadjoint matrix Schrödinger operator on the half line. II. Zbl 1312.81058
Aktosun, Tuncay; Klaus, Martin; Weder, Ricardo
2014
Transmission eigenvalues for the self-adjoint Schrödinger operator on the half line. Zbl 1305.34145
Aktosun, Tuncay; Papanicolaou, Vassilis G.
2014
Reconstruction of the wave speed from transmission eigenvalues for the spherically symmetric variable-speed wave equation. Zbl 1276.65073
Aktosun, Tuncay; Papanicolaou, Vassilis G.
2013
High-energy analysis and Levinson’s theorem for the selfadjoint matrix Schrödinger operator on the half line. Zbl 1280.81032
Aktosun, Tuncay; Weder, Ricardo
2013
The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation. Zbl 1231.35295
Aktosun, Tuncay; Gintides, Drossos; Papanicolaou, Vassilis G.
2011
Small-energy analysis for the self-adjoint matrix Schrödinger operator on the half line. Zbl 1272.81048
Aktosun, Tuncay; Klaus, Martin; Weder, Ricardo
2011
Exact solutions to the sine-Gordon equation. Zbl 1314.35158
Aktosun, Tuncay; Demontis, Francesco; van der Mee, Cornelis
2010
Symmetries for exact solutions to the nonlinear Schrödinger equation. Zbl 1189.37074
Aktosun, Tuncay; Busse, Theresa; Demontis, Francesco; van der Mee, Cornelis
2010
Exact solutions to the nonlinear Schrödinger equation. Zbl 1190.37078
Aktosun, Tuncay; Busse, Theresa; Demontis, Francesco; van der Mee, Cornelis
2010
A unified approach to Darboux transformations. Zbl 1185.45006
Aktosun, Tuncay; van der Mee, Cornelis
2009
Time evolution of the scattering data for a fourth-order linear differential operator. Zbl 1231.34153
Aktosun, Tuncay; Papanicolaou, Vassilis G.
2008
Exact solutions to the focusing nonlinear Schrödinger equation. Zbl 1126.35058
Aktosun, Tuncay; Demontis, Francesco; van der Mee, Cornelis
2007
Inverse spectral-scattering problem with two sets of discrete spectra for the radial Schrödinger equation. Zbl 1096.34064
Aktosun, Tuncay; Weder, Ricardo
2006
Explicit solutions to the Korteweg–de Vries equation on the half line. Zbl 1105.35099
Aktosun, Tuncay; van der Mee, Cornelis
2006
The Borg-Marchenko theorem with a continuous spectrum. Zbl 1108.34009
Aktosun, Tuncay; Weder, Ricardo
2006
Inverse scattering to determine the shape of a vocal tract. Zbl 1110.35097
Aktosun, Tuncay
2006
Inverse scattering for vowel articulation with frequency-domain data. Zbl 1084.35117
Aktosun, Tuncay
2005
Construction of the half-line potential from the Jost function. Zbl 1071.34006
Aktosun, Tuncay
2004
Inverse scattering on the line for a generalized nonlinear Schrödinger equation. Zbl 1063.34006
Aktosun, Tuncay; Papanicolaou, Vassilis G.; Zisis, Vassilis
2004
Inverse scattering on the line with incomplete scattering data. Zbl 1072.34010
Aktosun, Tuncay
2004
Inverse scattering transform, KdV, and solitons. Zbl 1062.37087
Aktosun, Tuncay
2004
Inverse scattering with partial information on the potential. Zbl 1012.34080
Aktosun, Tuncay; Weder, Ricardo
2002
Potential splitting and numerical solution of the inverse scattering problem on the line. Zbl 1054.34137
Aktosun, Tuncay; Sacks, Paul E.
2002
Wave focusing on the line. Zbl 1060.35066
Aktosun, Tuncay; Rose, James H.
2002
Small-energy asymptotics for the Schrödinger equation on the line. Zbl 0989.81129
Aktosun, Tuncay; Klaus, Martin
2001
Small-energy asymptotics of the scattering matrix for the matrix Schrödinger equation on the line. Zbl 1017.81046
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
2001
Direct and inverse scattering for selfadjoint Hamiltonian systems on the line. Zbl 0970.34072
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
2000
Factorization and small-energy asymptotics for the radial Schrödinger equation. Zbl 0973.81129
Aktosun, Tuncay
2000
Darboux transformation for the Schrödinger equation with steplike potentials. Zbl 0977.81012
Aktosun, Tuncay
2000
Inversion of reflectivity data for nondecaying potentials. Zbl 0956.34073
Aktosun, Tuncay; Sacks, Paul E.
2000
Phase recovery with nondecaying potentials. Zbl 0962.35183
Aktosun, Tuncay; Sacks, Paul E.
2000
On the Schrödinger equation with steplike potentials. Zbl 0968.81020
Aktosun, Tuncay
1999
Asymptotics of the scattering coefficients for a generalized Schrödinger equation. Zbl 0953.34071
Aktosun, Tuncay; Klaus, Martin
1999
Wave scattering in one dimension with absorption. Zbl 1001.34074
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
1998
Inverse problem on the line without phase information. Zbl 0902.34011
Aktosun, Tuncay; Sacks, Paul E.
1998
Inverse scattering in one-dimensional nonconservative media. Zbl 0916.34070
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
1998
On the number of bound states for the one-dimensional Schrödinger equation. Zbl 0931.34069
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
1998
Inverse Schrödinger scattering on the line with partial knowledge of the potential. Zbl 0844.34016
Aktosun, Tuncay
1996
Factorization of scattering matrices due to partitioning of potentials in one-dimensional Schrödinger-type equations. Zbl 0910.34069
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
1996
Recovery of discontinuities in a non-homogeneous medium. Zbl 0848.34070
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis V. M.
1996
Integral equation methods for the inverse problem with discontinuous wave speed. Zbl 0897.34018
Aktosun, Tuncay; Klaus, Martin
1996
Inverse wave scattering with discontinuous wave speed. Zbl 0843.34080
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis V. M.
1995
Bound states and inverse scattering for the Schrödinger equation in one dimension. Zbl 0822.34070
Aktosun, Tuncay
1994
Nonuniqueness in inverse acoustic scattering on the line. Zbl 0806.34014
Aktosun, Tuncay; Van der Mee, Cornelis
1994
On the Riemann–Hilbert problem for the one-dimensional Schrödinger equation. Zbl 0777.34056
Aktosun, Tuncay; Klaus, Martin; Van der Mee, Cornelis
1993
Scattering and inverse scattering for a second-order differential equation. Zbl 0773.34011
Aktosun, Tuncay
1993
A factorization of the scattering matrix for the Schrödinger equation and for the wave equation in one dimension. Zbl 0762.35075
Aktosun, Tuncay
1992
Scattering and inverse scattering in one-dimensional nonhomogeneous media. Zbl 0760.35032
Aktosun, Tuncay; Klaus, Martin; Van der Mee, Cornelis
1992
Explicit Wiener-Hopf factorization for certain non-rational matrix functions. Zbl 0790.47012
Aktosun, Tuncay; Klaus, Martin; van der Mee, Cornelis
1992
Inverse scattering in 1-D nonhomogeneous media and recovery of the wave speed. Zbl 0756.34083
Aktosun, Tuncay; Klaus, Martin; Van der Mee, Cornelis
1992
Scattering and inverse scattering for the 1-D Schrödinger equation with energy-dependent potentials. Zbl 0758.35055
Aktosun, Tuncay; Van der Mee, Cornelis
1991
Wiener-Hopf factorization in multidimensional inverse Schrödinger scattering. Zbl 0742.35044
Aktosun, Tuncay; Van der Mee, Cornelis
1991
Solution of the inverse scattering problem for the three-dimensional Schrödinger equation using a Fredholm integral equation. Zbl 0737.35049
Aktosun, Tuncay; Van der Mee, Cornelis
1991
Inverse scattering problem for the 3-D Schrödinger equation and Wiener- Hopf factorization of the scattering operator. Zbl 0724.47043
Aktosun, Tuncay; Van der Mee, Cornelis
1990
Scattering for 1D Schrödinger equation with energy-dependent potentials and the recovery of the potential from the reflection coefficient. Zbl 1050.81706
Aktosun, Tuncay; van der Mee, Cornelis
1990
Exact solutions of the Schrödinger equation and the non-uniqueness of inverse scattering on the line. Zbl 0645.34019
Aktosun, Tuncay
1988
Stability of the Marchenko inversion. Zbl 0641.35070
Aktosun, Tuncay
1987
Marchenko inversion for perturbations: I. Zbl 0641.35068
Aktosun, Tuncay
1987
Examples of non-uniqueness in one-dimensional inverse scattering for which $$T(k)=O(k^ 3)$$ and $$O(k^ 4)$$ as k$$\to 0$$. Zbl 0625.35074
Aktosun, Tuncay
1987
Non-uniqueness in the one-dimensional inverse scattering problem. Zbl 0602.47036
Aktosun, Tuncay; Newton, Roger G.
1985
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#### Cited by 255 Authors

 31 Aktosun, Tuncay 26 Van der Mee, Cornelis Victor Maria 14 Yang, Chuanfu 13 Klaus, Martin 11 Demontis, Francesco 10 Weder, Ricardo A. 10 Xu, Xiaochuan 8 Chen, Lung-Hui 8 Wei, Guangsheng 7 Buterin, Sergey Alexandrovich 7 Sacks, Paul E. 6 Klibanov, Michael V. 6 Novikov, Roman G. 5 Amirov, Rauf Kh. 5 Hryniv, Rostyslav O. 5 Ortenzi, Giovanni 5 Schulze-Halberg, Axel 5 Serov, Valery S. 5 Teschl, Gerald 5 Yurko, Vjacheslav Anatoljevich 4 Daudé, Thierry 4 Egorova, Iryna 4 Nicoleau, François 4 Sommacal, Matteo 3 Efendiev, Rakib F. 3 Ma, Wen-Xiu 3 Mamedov, Khanlar R. 3 Nabiev, A. Adiloglu 3 Nguyen, Loc Hoang 3 Pivovarchik, Vyacheslav N. 3 Romanov, Vladimir Gavrilovich 3 Sassoli de Bianchi, Massimiliano 3 Seatzu, Sebastiano 3 Shieh, Chung-Tsun 2 Agaltsov, Alexey D. 2 Albeverio, Sergio A. 2 Arov, Damir Zyamovich 2 Bondarenko, Natalia P. 2 Borisov, Denis Ivanovich 2 Choque Rivero, Abdon Eddy 2 Colton, David Lem 2 De Angelis, Monica 2 Du, Dianlou 2 Dym, Harry 2 El-Raheem, Zaki F. A. 2 Gesztesy, Fritz 2 Golovina, Anastasiya Mihajlovna 2 Ismailov, Mansur I. 2 Kisil, Anastasia V. 2 Kosar, Nida P. 2 Kostrykin, Vadim V. 2 Leung, Yuk J. 2 Manko, Stepan S. 2 Miyazawa, Toru 2 Mykytyuk, Yaroslav V. 2 Nabiev, Anar Adiloglu 2 Naumkin, Ivan P. 2 Nguyen, Dinh Liem 2 Papanicolaou, Vassilis G. 2 Prinari, Barbara 2 Rundell, William 2 Rybkin, Alexei 2 Schrader, Robert 2 Shin, Jaemin 2 Shubov, Marianna A. 2 Silva, Luis O. 2 Tyni, Teemu 2 Usman, Muhammad 2 Vitale, Federica 2 Wang, Yuping 2 Wei, Zhaoying 2 Yang, Ying 2 Zhang, Yalin 2 Zhao, Songlin 1 Ablowitz, Mark Jay 1 Andreiev, Kyrylo 1 Argatov, Ivan I. 1 Aricò, Antonio 1 Astratov, Vasily N. 1 Aurentz, Jared Lee 1 Ayton, Lorna J. 1 Babadjanova, A. K. 1 Badanin, Andrey 1 Bai, Yu 1 Ballesteros, Miguel 1 Beltiţă, Ingrid 1 Bennewitz, Christer 1 Bevilacqua, Roberto 1 Bian, Dongfen 1 Bilman, Deniz 1 Biondini, Gino 1 Bledsoe, Matthew 1 Blower, Gordon 1 Bodmann, Bernhard G. 1 Boldbaatar, Ariunkhishig 1 Boumenir, Amin A. 1 Boyko, Olga 1 Brau, Fabian 1 Brettin, Aaron 1 Brown, B. Malcolm ...and 155 more Authors
all top 5

#### Cited in 94 Serials

 53 Journal of Mathematical Physics 11 Journal of Mathematical Analysis and Applications 10 Inverse Problems 9 Applicable Analysis 9 Integral Equations and Operator Theory 9 Journal of Differential Equations 7 Mathematical Methods in the Applied Sciences 6 Mathematical Physics, Analysis and Geometry 6 Inverse Problems and Imaging 4 International Journal of Modern Physics A 4 Journal of Inverse and Ill-Posed Problems 3 Journal of Geometry and Physics 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Results in Mathematics 3 Physica D 3 SIAM Journal on Applied Mathematics 3 Journal of Nonlinear Mathematical Physics 3 Boundary Value Problems 3 Advances in Mathematical Physics 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Letters in Mathematical Physics 2 Reports on Mathematical Physics 2 Theoretical and Mathematical Physics 2 Reviews in Mathematical Physics 2 Calcolo 2 Ricerche di Matematica 2 Studies in Applied Mathematics 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 SIAM Journal on Matrix Analysis and Applications 2 The Journal of Geometric Analysis 2 Annals of Physics 2 Linear Algebra and its Applications 2 Mathematical Problems in Engineering 2 Abstract and Applied Analysis 2 Complex Variables and Elliptic Equations 2 Journal of Physics A: Mathematical and Theoretical 1 Modern Physics Letters B 1 Archive for Rational Mechanics and Analysis 1 Journal of Fluid Mechanics 1 Mathematical Notes 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Functional Analysis and its Applications 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Journal of Integral Equations and Applications 1 Computational Mathematics and Mathematical Physics 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Nonlinear Science 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Integral Transforms and Special Functions 1 Engineering Analysis with Boundary Elements 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Henri Poincaré 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 Waves in Random and Complex Media 1 Inverse Problems in Science and Engineering 1 Mathematics in Computer Science 1 Complex Analysis and Operator Theory 1 SIAM Journal on Imaging Sciences 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 TWMS Journal of Pure and Applied Mathematics 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Caspian Journal of Mathematical Sciences 1 Carpathian Mathematical Publications 1 Séminaire Laurent Schwartz. EDP et Applications 1 Cogent Mathematics 1 Proceedings of the American Mathematical Society. Series B
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#### Cited in 31 Fields

 128 Ordinary differential equations (34-XX) 104 Partial differential equations (35-XX) 90 Quantum theory (81-XX) 52 Operator theory (47-XX) 29 Dynamical systems and ergodic theory (37-XX) 21 Numerical analysis (65-XX) 13 Optics, electromagnetic theory (78-XX) 8 Mechanics of deformable solids (74-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Integral equations (45-XX) 6 Fluid mechanics (76-XX) 5 Difference and functional equations (39-XX) 5 Relativity and gravitational theory (83-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Biology and other natural sciences (92-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)