| 1 |
Yurko V A . Inverse problem for integro-differential operators. Mathematical Notes, 1991, 50 (5): 1188- 1197
doi: 10.1007/BF01157709
|
| 2 |
Buterin S A . On an inverse spectral problem for a convolution integro-differential operator. Results in Mathematics, 2007, 50: 173- 181
doi: 10.1007/s00025-007-0244-6
|
| 3 |
Buterin S A . On the reconstruction of a convolution perturbation of the Sturm-Liouville operator from the spectrum. Differential Equations, 2010, 46 (1): 150- 154
|
| 4 |
王玉华, 魏广生. 具有后效的逆Sturm-Liouville问题的唯一性. 数学物理学报, 2012, 32A (6): 1171- 1178
doi: 10.3969/j.issn.1003-3998.2012.06.018
|
|
Wang Y H , Wei G S . The uniqueness for inverse Sturm-Liouville problems with aftereffect. Acta Math Sci, 2012, 32A (6): 1171- 1178
doi: 10.3969/j.issn.1003-3998.2012.06.018
|
| 5 |
王於平. 有限区间上积分-微分算子的逆结点问题. 应用泛函分析学报, 2013, 15 (1): 47- 52
|
|
Wang Y P . Inverse nodal problem for integro-differential operators on the finite interval. Acta Analysis Functionalis Applicata, 2013, 15 (1): 47- 52
|
| 6 |
Kuryshova Yu V . Inverse spectral problem for integro-differential operators. Mathematical Notes, 2007, 81 (6): 767- 777
|
| 7 |
Kuryshova Yu V , Shieh C T . An inverse nodal problem for integro-differential operators. Journal of Inverse and Ill-posed Problems, 2010, 18: 357- 369
|
| 8 |
Wang Y P , Yang C F , Huang Z Y . Reconstruction for the spherically symmetric speed of sound from nodal data. Inverse Problems in Science and Engineering, 2013, 21 (6): 1032- 1046
doi: 10.1080/17415977.2012.713951
|
| 9 |
Wang Y P . Inverse problems for discontinuous Sturm-Liouville operators with mixed spectral data. Inverse Problems in Science and Engineering, 2015, 23 (7): 1180- 1198
doi: 10.1080/17415977.2014.981748
|
| 10 |
Wang Y P , Yurko V A . On the inverse nodal problems for discontinuous Sturm-Liouville operators. J Differ Equa, 2016, 260: 4086- 4109
doi: 10.1016/j.jde.2015.11.004
|
| 11 |
Rundell W , Sacks P E . The reconstruction of Sturm-Liouville operators. Inverse Problems, 1992, 8: 457- 482
doi: 10.1088/0266-5611/8/3/007
|
| 12 |
Wei G , Xu H K . On the missing eigenvalue problem for an inverse Sturm-Liouville problem. J Math Pure Appl, 2009, 91: 468- 475
doi: 10.1016/j.matpur.2009.01.007
|
| 13 |
Yurko V A . Method of Spectral Mappings in the Inverse Problem Theory:(Inverse and Ill-Posed Problems Series). Utrecht: VSP, 2002
|
| 14 |
Gelfand I M , Levitan B M . On a simple identity for eigenvalues of the differential operators of second order. Dokl Akad Nauk SSSR (Soviet Math Dokl), 1953, 88 (4): 593- 596
|
| 15 |
曹策问. 非自伴Sturm-Liouville算子的渐近迹. 数学学报, 1981, 24 (1): 84- 94
|
|
Cao C W . Asymptotic trace of non-self-adjoint Sturm-Liouville operator. Acta Mathematica Sinica, 1981, 24 (1): 84- 94
|
| 16 |
Yang C F . New trace formulae for a quadratic pencil of the Schrödinger operator. J Math Phys, 2010, 51 (1): 1- 11
|
| 17 |
Savchuk A M , Shkalikov A A . Trace formula for Sturm-Liouville operators with singular potentials. Mathematical Notes, 2001, 69: 387- 400
doi: 10.1023/A:1010239626324
|
| 18 |
Wang Y P , Koyunbakan H , Yang C F . A trace formula for integro-differential operators on the finite interval. Acta Mathematicae Applicatae Sinica, 2017, 33 (1): 141- 146
doi: 10.1007/s10255-017-0644-7
|
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