Yang, Chuan-Fu; Wei, Li-Xiao; Xu, Xin-Jian Trace formula of the differential operator with delays on a quantum graph. (English) Zbl 1527.34108 Proc. Am. Math. Soc. 151, No. 12, 5177-5188 (2023). Reviewer: Natalia Bondarenko (Saratov) MSC: 34K08 47E05 34K10 PDFBibTeX XMLCite \textit{C.-F. Yang} et al., Proc. Am. Math. Soc. 151, No. 12, 5177--5188 (2023; Zbl 1527.34108) Full Text: DOI
Xu, Xin-Jian; Yang, Chuan-Fu; Xu, Xiao-Chuan Inverse transmission eigenvalue problem for fixed angular momentum. (English) Zbl 07675893 Inverse Probl. Imaging 17, No. 1, 263-274 (2023). Reviewer: Zhaoying Wei (Xi’an) MSC: 34A55 34B24 47E05 PDFBibTeX XMLCite \textit{X.-J. Xu} et al., Inverse Probl. Imaging 17, No. 1, 263--274 (2023; Zbl 07675893) Full Text: DOI
Xu, Xiao-Chuan; Guo, Yan; Yang, Chuan-Fu Stability of the inverse transmission eigenvalue problem for the Schrödinger operator with a radial potential. (English) Zbl 1508.34015 Lett. Math. Phys. 112, No. 4, Paper No. 82, 25 p. (2022). Reviewer: Yasser Khalili (Sari) MSC: 34A55 34L40 34L15 34L10 PDFBibTeX XMLCite \textit{X.-C. Xu} et al., Lett. Math. Phys. 112, No. 4, Paper No. 82, 25 p. (2022; Zbl 1508.34015) Full Text: DOI
Xu, Xiao-Chuan; Ma, Li-Jie; Yang, Chuan-Fu On the stability of the inverse transmission eigenvalue problem from the data of McLaughlin and Polyakov. (English) Zbl 07486715 J. Differ. Equations 316, 222-248 (2022). MSC: 34A55 34L15 34L10 34B24 PDFBibTeX XMLCite \textit{X.-C. Xu} et al., J. Differ. Equations 316, 222--248 (2022; Zbl 07486715) Full Text: DOI
Xu, Xin-Jian; Bondarenko, Natalia; Yang, Chuan-Fu Inverse spectral problems for Bessel operators with interior transmission conditions. (English) Zbl 1484.34070 J. Math. Anal. Appl. 504, No. 2, Article ID 125435, 22 p. (2021). Reviewer: Xiao-Chuan Xu (Nanjing) MSC: 34A55 34L40 34B09 PDFBibTeX XMLCite \textit{X.-J. Xu} et al., J. Math. Anal. Appl. 504, No. 2, Article ID 125435, 22 p. (2021; Zbl 1484.34070) Full Text: DOI
Zhang, Ran; Yang, Chuan-Fu Ambarzumyan-type theorem for the impulsive Sturm-Liouville operator. (English) Zbl 1471.34042 J. Inverse Ill-Posed Probl. 29, No. 1, 21-25 (2021). Reviewer: Hubert Kalf (München) MSC: 34A55 34B24 47E05 PDFBibTeX XMLCite \textit{R. Zhang} and \textit{C.-F. Yang}, J. Inverse Ill-Posed Probl. 29, No. 1, 21--25 (2021; Zbl 1471.34042) Full Text: DOI
Yang, Chuan-Fu; Bondarenko, Natalia P. Reconstruction and solvability for discontinuous Hochstadt-Lieberman problems. (English) Zbl 1480.34019 J. Spectr. Theory 10, No. 4, 1445-1469 (2020). Reviewer: Seyfollah Mosazadeh (Kashan) MSC: 34A55 34B24 47E05 PDFBibTeX XMLCite \textit{C.-F. Yang} and \textit{N. P. Bondarenko}, J. Spectr. Theory 10, No. 4, 1445--1469 (2020; Zbl 1480.34019) Full Text: DOI arXiv
Xu, Xiao-Chuan; Yang, Chuan-Fu On the inverse spectral stability for the transmission eigenvalue problem with finite data. (English) Zbl 1470.34054 Inverse Probl. 36, No. 8, Article ID 085006, 17 p. (2020). Reviewer: Natalia Bondarenko (Saratov) MSC: 34A55 34B09 34D10 34L15 PDFBibTeX XMLCite \textit{X.-C. Xu} and \textit{C.-F. Yang}, Inverse Probl. 36, No. 8, Article ID 085006, 17 p. (2020; Zbl 1470.34054) Full Text: DOI
Zhang, Ran; Xu, Xiao-Chuan; Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna Determination of the impulsive Sturm-Liouville operator from a set of eigenvalues. (English) Zbl 1445.34046 J. Inverse Ill-Posed Probl. 28, No. 3, 341-348 (2020). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B24 47E05 34B09 PDFBibTeX XMLCite \textit{R. Zhang} et al., J. Inverse Ill-Posed Probl. 28, No. 3, 341--348 (2020; Zbl 1445.34046) Full Text: DOI
Yang, Chuan-Fu; Bondarenko, Natalia P. Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity. (English) Zbl 1445.34045 J. Differ. Equations 268, No. 10, 6173-6188 (2020). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B05 34B08 34L40 47E05 34B09 PDFBibTeX XMLCite \textit{C.-F. Yang} and \textit{N. P. Bondarenko}, J. Differ. Equations 268, No. 10, 6173--6188 (2020; Zbl 1445.34045) Full Text: DOI arXiv
Yang, Chuan-Fu; Buterin, Sergey A. Isospectral sets for transmission eigenvalue problem. (English) Zbl 1437.34027 J. Inverse Ill-Posed Probl. 28, No. 1, 63-69 (2020). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34L25 34B09 PDFBibTeX XMLCite \textit{C.-F. Yang} and \textit{S. A. Buterin}, J. Inverse Ill-Posed Probl. 28, No. 1, 63--69 (2020; Zbl 1437.34027) Full Text: DOI
Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna; Xu, Xiao-Chuan An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition. (English) Zbl 1436.34013 Inverse Probl. Imaging 14, No. 1, 153-169 (2020). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B07 34B09 34L40 34B24 PDFBibTeX XMLCite \textit{C.-F. Yang} et al., Inverse Probl. Imaging 14, No. 1, 153--169 (2020; Zbl 1436.34013) Full Text: DOI
Xu, Xin-Jian; Yang, Chuan-Fu Trace formula for nonlocal differential operators. (English) Zbl 1436.34078 Indian J. Pure Appl. Math. 50, No. 4, 1107-1114 (2019). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34L05 34B09 34B10 PDFBibTeX XMLCite \textit{X.-J. Xu} and \textit{C.-F. Yang}, Indian J. Pure Appl. Math. 50, No. 4, 1107--1114 (2019; Zbl 1436.34078) Full Text: DOI
Xu, Xiao-Chuan; Yang, Chuan-Fu; Buterin, Sergey; Yurko, Vjacheslav Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem. (English) Zbl 1438.34077 Electron. J. Qual. Theory Differ. Equ. 2019, Paper No. 38, 15 p. (2019). MSC: 34A55 34L15 PDFBibTeX XMLCite \textit{X.-C. Xu} et al., Electron. J. Qual. Theory Differ. Equ. 2019, Paper No. 38, 15 p. (2019; Zbl 1438.34077) Full Text: DOI arXiv
Xu, Xiao-Chuan; Yang, Chuan-Fu On a non-uniqueness theorem of the inverse transmission eigenvalues problem for the Schrödinger operator on the half line. (English) Zbl 1421.34016 Result. Math. 74, No. 3, Paper No. 103, 7 p. (2019). Reviewer: Namig Guliyev (Baku) MSC: 34A55 34L40 PDFBibTeX XMLCite \textit{X.-C. Xu} and \textit{C.-F. Yang}, Result. Math. 74, No. 3, Paper No. 103, 7 p. (2019; Zbl 1421.34016) Full Text: DOI
Yang, Chuan-Fu; Bondarenko, Natalia Pavlovna A partial inverse problem for the Sturm-Liouville operator on the lasso-graph. (English) Zbl 1410.34066 Inverse Probl. Imaging 13, No. 1, 69-79 (2019). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B05 34B09 34B45 34L20 34L40 47E05 PDFBibTeX XMLCite \textit{C.-F. Yang} and \textit{N. P. Bondarenko}, Inverse Probl. Imaging 13, No. 1, 69--79 (2019; Zbl 1410.34066) Full Text: DOI arXiv
Wang, Yu-ping; Koyunbakan, Hikmet; Yang, Chuan-fu A trace formula for integro-differential operators on the finite interval. (English) Zbl 06707209 Acta Math. Appl. Sin., Engl. Ser. 33, No. 1, 141-146 (2017). MSC: 47-XX PDFBibTeX XMLCite \textit{Y.-p. Wang} et al., Acta Math. Appl. Sin., Engl. Ser. 33, No. 1, 141--146 (2017; Zbl 06707209) Full Text: DOI
Xu, Xiao-Chuan; Yang, Chuan-Fu Reconstruction of the refractive index from transmission eigenvalues for spherically stratified media. (English) Zbl 1361.34014 J. Inverse Ill-Posed Probl. 25, No. 1, 23-33 (2017). Reviewer: Chuan-Fu Yang (Nanjing) MSC: 34A55 34L25 35R30 35Q60 PDFBibTeX XMLCite \textit{X.-C. Xu} and \textit{C.-F. Yang}, J. Inverse Ill-Posed Probl. 25, No. 1, 23--33 (2017; Zbl 1361.34014) Full Text: DOI
Yang, Chuan-Fu; Xu, Xiao-Chuan; Buterin, Sergey Solution to the interior transmission problem using nodes on a subinterval as input data. (English) Zbl 1372.35373 Nonlinear Anal., Real World Appl. 35, 20-29 (2017). MSC: 35R30 35J25 PDFBibTeX XMLCite \textit{C.-F. Yang} et al., Nonlinear Anal., Real World Appl. 35, 20--29 (2017; Zbl 1372.35373) Full Text: DOI
Yurko, Vjacheslav Anatoljevich; Yang, Chuan-Fu Recovering differential operators with nonlocal boundary conditions. (English) Zbl 1367.34017 Anal. Math. Phys. 6, No. 4, 315-326 (2016). Reviewer: Sonja Currie (Wits) MSC: 34A55 34L05 34B09 34B10 PDFBibTeX XMLCite \textit{V. A. Yurko} and \textit{C.-F. Yang}, Anal. Math. Phys. 6, No. 4, 315--326 (2016; Zbl 1367.34017) Full Text: DOI arXiv
Xu, Xiao-Chuan; Xu, Xin-Jian; Yang, Chuan-Fu Distribution of transmission eigenvalues and inverse spectral analysis with partial information on the refractive index. (English) Zbl 1355.34041 Math. Methods Appl. Sci. 39, No. 18, 5330-5342 (2016). MSC: 34A55 34L25 34B09 34L15 PDFBibTeX XMLCite \textit{X.-C. Xu} et al., Math. Methods Appl. Sci. 39, No. 18, 5330--5342 (2016; Zbl 1355.34041) Full Text: DOI
Yang, Chuan-Fu Trace formula for the matrix Sturm-Liouville operator. (English) Zbl 1339.34087 Anal. Math. Phys. 6, No. 1, 31-41 (2016). MSC: 34L05 34B24 47E05 34L15 PDFBibTeX XMLCite \textit{C.-F. Yang}, Anal. Math. Phys. 6, No. 1, 31--41 (2016; Zbl 1339.34087) Full Text: DOI
Yang, Chuan-Fu A uniqueness theorem from partial transmission eigenvalues and potential on a subdomain. (English) Zbl 1339.34031 Math. Methods Appl. Sci. 39, No. 3, 527-532 (2016). Reviewer: Baki Keskın (Sivas) MSC: 34A55 34B24 PDFBibTeX XMLCite \textit{C.-F. Yang}, Math. Methods Appl. Sci. 39, No. 3, 527--532 (2016; Zbl 1339.34031) Full Text: DOI
Yu, Xiu-Juan; Yang, Chuan-Fu The gap between the first two eigenvalues of Schrödinger operators with single-well potential. (English) Zbl 1410.34259 Appl. Math. Comput. 268, 275-283 (2015). MSC: 34L15 34L40 47E05 81Q10 PDFBibTeX XMLCite \textit{X.-J. Yu} and \textit{C.-F. Yang}, Appl. Math. Comput. 268, 275--283 (2015; Zbl 1410.34259) Full Text: DOI
Yang, Chuan Fu; Yuan, Gui Lin Determination of Dirac operator with eigenvalue-dependent boundary and jump conditions. (English) Zbl 1325.34023 Appl. Anal. 94, No. 7, 1460-1478 (2015). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34L05 47E05 PDFBibTeX XMLCite \textit{C. F. Yang} and \textit{G. L. Yuan}, Appl. Anal. 94, No. 7, 1460--1478 (2015; Zbl 1325.34023) Full Text: DOI
Buterin, S. A.; Yang, C-F; Yurko, V. A. On an open question in the inverse transmission eigenvalue problem. (English) Zbl 1318.34025 Inverse Probl. 31, No. 4, Article ID 045003, 8 p. (2015). MSC: 34A55 34B24 34L15 PDFBibTeX XMLCite \textit{S. A. Buterin} et al., Inverse Probl. 31, No. 4, Article ID 045003, 8 p. (2015; Zbl 1318.34025) Full Text: DOI
Yang, Jie; Yang, Chuan-Fu Inverse problems on the least eigenvalue. (English) Zbl 1319.34029 Result. Math. 65, No. 3-4, 321-332 (2014). Reviewer: Sergey Buterin (Saratov) MSC: 34A55 34B24 47E05 34E15 PDFBibTeX XMLCite \textit{J. Yang} and \textit{C.-F. Yang}, Result. Math. 65, No. 3--4, 321--332 (2014; Zbl 1319.34029) Full Text: DOI
Yang, Chuan-Fu; Huang, Zhen-You; Yang, Xiao-Ping Estimates of large eigenvalues and trace formula for the vectorial Sturm-Liouville equations. (English) Zbl 1292.34082 Rocky Mt. J. Math. 43, No. 6, 2049-2078 (2013). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 34L20 34B24 34L05 47E05 34A55 34L15 PDFBibTeX XMLCite \textit{C.-F. Yang} et al., Rocky Mt. J. Math. 43, No. 6, 2049--2078 (2013; Zbl 1292.34082) Full Text: DOI Euclid
Yang, Chuan Fu; Pivovarchik, Vyacheslav N. Inverse nodal problem for Dirac system with spectral parameter in boundary conditions. (English) Zbl 1280.34017 Complex Anal. Oper. Theory 7, No. 4, 1211-1230 (2013). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34A55 34L05 45C05 34L40 PDFBibTeX XMLCite \textit{C. F. Yang} and \textit{V. N. Pivovarchik}, Complex Anal. Oper. Theory 7, No. 4, 1211--1230 (2013; Zbl 1280.34017) Full Text: DOI
Wang, Yuping; Huang, Zhenyou; Yang, Chuanfu A uniqueness theorem for Sturm-Liouville operators with eigenparameter in the boundary conditions. (Chinese. English summary) Zbl 1274.34024 Chin. Ann. Math., Ser. A 33, No. 4, 441-448 (2012). MSC: 34A55 34B24 47E05 34L15 PDFBibTeX XMLCite \textit{Y. Wang} et al., Chin. Ann. Math., Ser. A 33, No. 4, 441--448 (2012; Zbl 1274.34024)
Yang, Chuan-Fu; Zettl, Anton Half inverse problems for quadratic pencils of Sturm-Liouville operators. (English) Zbl 1256.34013 Taiwanese J. Math. 16, No. 5, 1829-1846 (2012). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34A55 34B24 34B09 PDFBibTeX XMLCite \textit{C.-F. Yang} and \textit{A. Zettl}, Taiwanese J. Math. 16, No. 5, 1829--1846 (2012; Zbl 1256.34013) Full Text: DOI Link
Yang, Chuan-Fu Trace formulae for the matrix Schrödinger equation with energy-dependent potential. (English) Zbl 1255.34086 J. Math. Anal. Appl. 393, No. 2, 526-533 (2012). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 34L05 34L20 34L40 PDFBibTeX XMLCite \textit{C.-F. Yang}, J. Math. Anal. Appl. 393, No. 2, 526--533 (2012; Zbl 1255.34086) Full Text: DOI
Wang, Yuping; Yang, Chuanfu; Huang, Zhenyou The inverse problem for a class of singular Sturm-Liouville operators. (Chinese. English summary) Zbl 1265.34042 Chin. Ann. Math., Ser. A 32, No. 6, 699-704 (2011). MSC: 34A55 34B24 47E05 PDFBibTeX XMLCite \textit{Y. Wang} et al., Chin. Ann. Math., Ser. A 32, No. 6, 699--704 (2011; Zbl 1265.34042)
Yang, Chuanfu; Yang, Xiaoping Ambarzumyan’s theorem with eigenparameter in the boundary conditions. (English) Zbl 1249.34046 Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 4, 1561-1568 (2011). MSC: 34A55 34B24 47E05 34B09 PDFBibTeX XMLCite \textit{C. Yang} and \textit{X. Yang}, Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 4, 1561--1568 (2011; Zbl 1249.34046) Full Text: DOI
Yang, Chuanfu A half-inverse problem for the coefficients of a diffusion equation. (Chinese. English summary) Zbl 1240.35271 Chin. Ann. Math., Ser. A 32, No. 1, 89-96 (2011). MSC: 35K57 34B24 PDFBibTeX XMLCite \textit{C. Yang}, Chin. Ann. Math., Ser. A 32, No. 1, 89--96 (2011; Zbl 1240.35271)
Yang, Chuan-Fu; Guo, Yong-Xia Determination of a differential pencil from interior spectral data. (English) Zbl 1210.34020 J. Math. Anal. Appl. 375, No. 1, 284-293 (2011). MSC: 34A55 PDFBibTeX XMLCite \textit{C.-F. Yang} and \textit{Y.-X. Guo}, J. Math. Anal. Appl. 375, No. 1, 284--293 (2011; Zbl 1210.34020) Full Text: DOI
Yang, Chuan-Fu; Yang, Xiao-Ping Ambarzumyan’s theorems for Sturm-Liouville operators with general boundary conditions. (Chinese. English summary) Zbl 1224.34019 Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 2, 449-455 (2010). MSC: 34A55 34B24 34L15 PDFBibTeX XMLCite \textit{C.-F. Yang} and \textit{X.-P. Yang}, Acta Math. Sci., Ser. A, Chin. Ed. 30, No. 2, 449--455 (2010; Zbl 1224.34019)
Yang, Chuan-Fu Inverse eigenvalue problems of second-order differential equations. (Chinese. English summary) Zbl 1224.34018 Chin. Ann. Math., Ser. A 31, No. 2, 211-220 (2010). MSC: 34A55 34L15 34B24 PDFBibTeX XMLCite \textit{C.-F. Yang}, Chin. Ann. Math., Ser. A 31, No. 2, 211--220 (2010; Zbl 1224.34018)
Yang, Chuan-Fu; Huang, Zhen-You; Wang, Yu-Ping Trace formulae for the Schrödinger equation with energy-dependent potential. (English) Zbl 1210.34125 J. Phys. A, Math. Theor. 43, No. 41, Article ID 415207, 15 p. (2010). Reviewer: Manfred Möller (Johannesburg) MSC: 34L20 45C05 34B24 PDFBibTeX XMLCite \textit{C.-F. Yang} et al., J. Phys. A, Math. Theor. 43, No. 41, Article ID 415207, 15 p. (2010; Zbl 1210.34125) Full Text: DOI
Yang, Chuan-Fu; Huang, Zhen-You A half-inverse problem with eigenparameter dependent boundary conditions. (English) Zbl 1203.34014 Numer. Funct. Anal. Optim. 31, No. 6, 754-762 (2010). MSC: 34A55 34B24 PDFBibTeX XMLCite \textit{C.-F. Yang} and \textit{Z.-Y. Huang}, Numer. Funct. Anal. Optim. 31, No. 6, 754--762 (2010; Zbl 1203.34014) Full Text: DOI
Yang, Chuan-Fu; Yang, Jian-Xin Large eigenvalues and traces of Sturm-Liouville equations on star-shaped graphs. (English) Zbl 1168.34023 Methods Appl. Anal. 14, No. 2, 179-196 (2007). Reviewer: Bruce A. Watson (Wits) MSC: 34B45 34L20 47E05 PDFBibTeX XMLCite \textit{C.-F. Yang} and \textit{J.-X. Yang}, Methods Appl. Anal. 14, No. 2, 179--196 (2007; Zbl 1168.34023) Full Text: DOI Euclid