Akcay, Ozge On the investigation of a discontinuous Sturm-Liouville operator of scattering theory. (English) Zbl 07544426 Math. Commun. 27, No. 1, 33-45 (2022). MSC: 34B24 34L25 47E05 PDF BibTeX XML Cite \textit{O. Akcay}, Math. Commun. 27, No. 1, 33--45 (2022; Zbl 07544426) Full Text: Link OpenURL
Masmaliev, H. M.; Latifova, A. R. The Jost solution to the Schrödinger equation with an additional complex periodic potential. (English) Zbl 07491455 J. Contemp. Appl. Math. 12, No. 1, 39-44 (2022). MSC: 34A55 PDF BibTeX XML Cite \textit{H. M. Masmaliev} and \textit{A. R. Latifova}, J. Contemp. Appl. Math. 12, No. 1, 39--44 (2022; Zbl 07491455) Full Text: Link OpenURL
Azimova, Gulshan M.; Huseynov, Hidayat M. On an inverse problem for the system of Dirac equations with discontinuity conditions on the whole axis. (English) Zbl 1481.34101 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 2, 340-345 (2021). MSC: 34L25 34L40 47A40 PDF BibTeX XML Cite \textit{G. M. Azimova} and \textit{H. M. Huseynov}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 2, 340--345 (2021; Zbl 1481.34101) Full Text: DOI OpenURL
Khasanov, A. B.; Hoitmetov, U. A. Integration of the general loaded Korteweg-de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions. (English. Russian original) Zbl 07411072 Russ. Math. 65, No. 7, 43-57 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 7, 52-66 (2021). MSC: 35Q53 35R30 35P25 37K15 34B24 45G10 PDF BibTeX XML Cite \textit{A. B. Khasanov} and \textit{U. A. Hoitmetov}, Russ. Math. 65, No. 7, 43--57 (2021; Zbl 07411072); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 7, 52--66 (2021) Full Text: DOI OpenURL
Mutlu, Gökhan Spectral properties of the second order difference equation with selfadjoint operator coefficients. (English) Zbl 07544875 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 1, 88-96 (2020). MSC: 47B39 47A50 47A56 47A56 39B42 47B25 PDF BibTeX XML Cite \textit{G. Mutlu}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 1, 88--96 (2020; Zbl 07544875) Full Text: DOI OpenURL
Mamedov, K. A. Integration of mKdV equation with a self-consistent source in the class of finite density functions in the case of moving eigenvalues. (English. Russian original) Zbl 1468.35175 Russ. Math. 64, No. 10, 66-78 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 10, 73-85 (2020). MSC: 35Q53 35G25 35R30 37K15 PDF BibTeX XML Cite \textit{K. A. Mamedov}, Russ. Math. 64, No. 10, 66--78 (2020; Zbl 1468.35175); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 10, 73--85 (2020) Full Text: DOI OpenURL
Amirov, Rauf Kh.; Nabiev, Anar Adiloglu Inverse scattering problem for the impulsive Schrödinger equation with a polynomial spectral dependence in the potential. (English) Zbl 1474.34607 Casp. J. Math. Sci. 9, No. 2, 224-242 (2020). MSC: 34L25 34A55 34L05 34L40 34A37 PDF BibTeX XML Cite \textit{R. Kh. Amirov} and \textit{A. A. Nabiev}, Casp. J. Math. Sci. 9, No. 2, 224--242 (2020; Zbl 1474.34607) Full Text: DOI OpenURL
Delgado, Briceyda B.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V. A representation for Jost solutions and an efficient method for solving the spectral problem on the half line. (English) Zbl 1460.34105 Math. Methods Appl. Sci. 43, No. 16, 9304-9319 (2020). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 34L16 34B24 34L25 34L40 34L05 PDF BibTeX XML Cite \textit{B. B. Delgado} et al., Math. Methods Appl. Sci. 43, No. 16, 9304--9319 (2020; Zbl 1460.34105) Full Text: DOI OpenURL
Adiloglu Nabiev, A.; Amirov, R. Kh. Inverse scattering for the one dimensional Schrödinger equation with the energy dependent potential and discontinuty conditions. (English) Zbl 1463.34356 Electron. J. Math. Anal. Appl. 8, No. 2, 198-208 (2020). MSC: 34L25 34A55 34L40 PDF BibTeX XML Cite \textit{A. Adiloglu Nabiev} and \textit{R. Kh. Amirov}, Electron. J. Math. Anal. Appl. 8, No. 2, 198--208 (2020; Zbl 1463.34356) Full Text: Link OpenURL
Khirali, B.; Behera, A. K.; Bhoi, J.; Laha, U. Scattering with Manning-Rosen potential in all partial waves. (English) Zbl 1432.81029 Ann. Phys. 412, Article ID 168044, 12 p. (2020). MSC: 81Q05 81U05 33C90 PDF BibTeX XML Cite \textit{B. Khirali} et al., Ann. Phys. 412, Article ID 168044, 12 p. (2020; Zbl 1432.81029) Full Text: DOI OpenURL
Bairamov, Elgiz; Aygar, Yelda; Cebesoy, Serifenur Investigation of spectrum and scattering function of impulsive matrix difference operators. (English) Zbl 07535050 Filomat 33, No. 5, 1301-1312 (2019). MSC: 34B37 34L05 34L25 39A10 39A70 PDF BibTeX XML Cite \textit{E. Bairamov} et al., Filomat 33, No. 5, 1301--1312 (2019; Zbl 07535050) Full Text: DOI OpenURL
Delgado, Briceyda B.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V. The transmutation operator method for efficient solution of the inverse Sturm-Liouville problem on a half-line. (English) Zbl 1431.65119 Math. Methods Appl. Sci. 42, No. 18, 7359-7366 (2019). MSC: 65L15 65L09 15A06 34B24 PDF BibTeX XML Cite \textit{B. B. Delgado} et al., Math. Methods Appl. Sci. 42, No. 18, 7359--7366 (2019; Zbl 1431.65119) Full Text: DOI OpenURL
Yokus, Nihal; Coskun, Nimet A note on the matrix Sturm-Liouville operators with principal functions. (English) Zbl 1430.34033 Math. Methods Appl. Sci. 42, No. 16, 5362-5370 (2019). MSC: 34B24 34B08 34B09 47A10 34L15 PDF BibTeX XML Cite \textit{N. Yokus} and \textit{N. Coskun}, Math. Methods Appl. Sci. 42, No. 16, 5362--5370 (2019; Zbl 1430.34033) Full Text: DOI OpenURL
Mamedov, K. R.; Nabiev, A. A. Inverse problem of scattering theory for a class one-dimensional Schrödinger equation. (English) Zbl 1428.34133 Quaest. Math. 42, No. 7, 841-856 (2019). Reviewer: Jiři Lipovský (Hradec Kralove) MSC: 34L25 34L40 34A55 PDF BibTeX XML Cite \textit{K. R. Mamedov} and \textit{A. A. Nabiev}, Quaest. Math. 42, No. 7, 841--856 (2019; Zbl 1428.34133) Full Text: DOI OpenURL
Bairamov, Elgiz; Solmaz, Şeyda Spectrum and scattering function of the impulsive discrete Dirac systems. (English) Zbl 1438.39001 Turk. J. Math. 42, No. 6, 3182-3194 (2018). MSC: 39A12 34B37 35P25 47A75 PDF BibTeX XML Cite \textit{E. Bairamov} and \textit{Ş. Solmaz}, Turk. J. Math. 42, No. 6, 3182--3194 (2018; Zbl 1438.39001) Full Text: DOI OpenURL
Aygar, Y. The effects of hyperbolic eigenparameter on spectral analysis of a quantum difference equations. (English) Zbl 07174166 Malays. J. Math. Sci. 11, No. 3, 317-330 (2017). MSC: 35-XX 39-XX PDF BibTeX XML Cite \textit{Y. Aygar}, Malays. J. Math. Sci. 11, No. 3, 317--330 (2017; Zbl 07174166) Full Text: Link OpenURL
Aygar, Yelda A research on spectral analysis of a matrix quantum difference equations with spectral singularities. (English) Zbl 1461.39005 Quaest. Math. 40, No. 2, 245-249 (2017). MSC: 39A13 39A05 39A70 47A05 15A24 PDF BibTeX XML Cite \textit{Y. Aygar}, Quaest. Math. 40, No. 2, 245--249 (2017; Zbl 1461.39005) Full Text: DOI OpenURL
Aygar, Yelda; Bairamov, Elgiz; Yardimci, Seyhmus A note on spectral properties of a Dirac system with matrix coefficient. (English) Zbl 1412.39001 J. Nonlinear Sci. Appl. 10, No. 4, 1459-1469 (2017). MSC: 39A05 39A70 39A10 47A05 47A10 PDF BibTeX XML Cite \textit{Y. Aygar} et al., J. Nonlinear Sci. Appl. 10, No. 4, 1459--1469 (2017; Zbl 1412.39001) Full Text: DOI OpenURL
Lou, Senyue; Shi, Ying; Zhang, Da-jun Spectrum transformation and conservation laws of lattice potential KdV equation. (English) Zbl 1380.39013 Front. Math. China 12, No. 2, 403-416 (2017). MSC: 39A14 39A12 35Q53 PDF BibTeX XML Cite \textit{S. Lou} et al., Front. Math. China 12, No. 2, 403--416 (2017; Zbl 1380.39013) Full Text: DOI arXiv OpenURL
Aygar, Yelda Quadratic eigenparameter-dependent quantum difference equations. (English) Zbl 1424.39010 Turk. J. Math. 40, No. 2, 445-452 (2016). MSC: 39A12 39A13 34B24 PDF BibTeX XML Cite \textit{Y. Aygar}, Turk. J. Math. 40, No. 2, 445--452 (2016; Zbl 1424.39010) Full Text: DOI OpenURL
Kostenko, Aleksey; Teschl, Gerald; Toloza, Julio H. Dispersion estimates for spherical Schrödinger equations. (English) Zbl 1360.34175 Ann. Henri Poincaré 17, No. 11, 3147-3176 (2016). Reviewer: Shlomo Carmi (Baltimore) MSC: 34L40 34B24 81Q05 81Q10 81U30 PDF BibTeX XML Cite \textit{A. Kostenko} et al., Ann. Henri Poincaré 17, No. 11, 3147--3176 (2016; Zbl 1360.34175) Full Text: DOI arXiv OpenURL
Bairamov, Elgiz; Aygar, Yelda; Cebesoy, Serifenur Spectral analysis of a selfadjoint matrix-valued discrete operator on the whole axis. (English) Zbl 1382.39026 J. Nonlinear Sci. Appl. 9, No. 6, 4257-4262 (2016). MSC: 39A70 39A05 39A10 47A05 PDF BibTeX XML Cite \textit{E. Bairamov} et al., J. Nonlinear Sci. Appl. 9, No. 6, 4257--4262 (2016; Zbl 1382.39026) Full Text: DOI Link OpenURL
Güldü, Y.; Gülyaz, S. On integral representation for solution of generalized Sturm-Liouville equation with discontinuity conditions. (English) Zbl 1412.34070 Bol. Soc. Parana. Mat. (3) 33, No. 2, 95-107 (2015). MSC: 34A55 34B24 34L05 PDF BibTeX XML Cite \textit{Y. Güldü} and \textit{S. Gülyaz}, Bol. Soc. Parana. Mat. (3) 33, No. 2, 95--107 (2015; Zbl 1412.34070) Full Text: Link OpenURL
Nabiev, A. A.; Mamedov, Kh. R. On the Jost solutions for a class of Schrödinger equations with piecewise constant coefficients. (English) Zbl 1329.34137 J. Math. Phys. Anal. Geom. 11, No. 3, 279-296 (2015). MSC: 34L40 34L25 PDF BibTeX XML Cite \textit{A. A. Nabiev} and \textit{Kh. R. Mamedov}, J. Math. Phys. Anal. Geom. 11, No. 3, 279--296 (2015; Zbl 1329.34137) Full Text: DOI OpenURL
Takhtajan, L. A.; Faddeev, L. D. The spectral theory of a functional-difference operator in conformal field theory. (English. Russian original) Zbl 1327.39013 Izv. Math. 79, No. 2, 388-410 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat 79, No. 2, 181-204 (2015). Reviewer: Christopher Goodrich (Omaha) MSC: 39A70 47B39 47A10 47A70 PDF BibTeX XML Cite \textit{L. A. Takhtajan} and \textit{L. D. Faddeev}, Izv. Math. 79, No. 2, 388--410 (2015; Zbl 1327.39013); translation from Izv. Ross. Akad. Nauk, Ser. Mat 79, No. 2, 181--204 (2015) Full Text: DOI arXiv OpenURL
Nabiev, Anar A. Direct and inverse scattering problems for the one dimensional Schrödinger equation with the energy dependent potential and discontinuity conditions. (English) Zbl 1343.34198 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 40, Spec. Iss., 315-331 (2014). MSC: 34L25 34L05 34L40 PDF BibTeX XML Cite \textit{A. A. Nabiev}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 40, 315--331 (2014; Zbl 1343.34198) OpenURL
Huseynov, Hidayat M. An inverse scattering problem for a system of Dirac equations with discontinuity conditions. (English) Zbl 1327.34140 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 40, Spec. Iss., 215-225 (2014). MSC: 34L25 34L40 47A40 PDF BibTeX XML Cite \textit{H. M. Huseynov}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 40, 215--225 (2014; Zbl 1327.34140) OpenURL
Nabiev, A. A.; Saltan, S.; Gürdal, M. Characterization of the scattering data for the Sturm-Liouville operator. (English) Zbl 1315.34096 Math. Methods Appl. Sci. 37, No. 17, 2626-2637 (2014). MSC: 34L25 34A55 34B24 34B40 PDF BibTeX XML Cite \textit{A. A. Nabiev} et al., Math. Methods Appl. Sci. 37, No. 17, 2626--2637 (2014; Zbl 1315.34096) Full Text: DOI OpenURL
Aygar, Yelda; Olgun, Murat Investigation of the spectrum and the Jost solutions of discrete Dirac system on the whole axis. (English) Zbl 1308.39008 J. Inequal. Appl. 2014, Paper No. 73, 9 p. (2014). MSC: 39A12 39A06 34L05 PDF BibTeX XML Cite \textit{Y. Aygar} and \textit{M. Olgun}, J. Inequal. Appl. 2014, Paper No. 73, 9 p. (2014; Zbl 1308.39008) Full Text: DOI OpenURL
Zinchenko, M. CMV matrices with super exponentially decaying Verblunsky coefficients. (English) Zbl 1325.47070 Math. Model. Nat. Phenom. 9, No. 5, 282-294 (2014). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 47B36 34L40 39A70 PDF BibTeX XML Cite \textit{M. Zinchenko}, Math. Model. Nat. Phenom. 9, No. 5, 282--294 (2014; Zbl 1325.47070) Full Text: DOI Link OpenURL
Khanmamedov, Agil Kh.; Makhmudova, M. G. Inverse scattering problem for a difference Sturm-Liouville equation on the line. (English) Zbl 1278.39019 Azerb. J. Math. 2, No. 1, 24-36 (2012). MSC: 39A22 47A40 47B39 PDF BibTeX XML Cite \textit{A. Kh. Khanmamedov} and \textit{M. G. Makhmudova}, Azerb. J. Math. 2, No. 1, 24--36 (2012; Zbl 1278.39019) OpenURL
Berkolaiko, G.; Comech, A. On spectral stability of solitary waves of nonlinear Dirac equation in 1D. (English) Zbl 1247.35117 Math. Model. Nat. Phenom. 7, No. 2, 13-31 (2012). MSC: 35Q41 35B35 37K40 65L07 81Q05 PDF BibTeX XML Cite \textit{G. Berkolaiko} and \textit{A. Comech}, Math. Model. Nat. Phenom. 7, No. 2, 13--31 (2012; Zbl 1247.35117) Full Text: DOI arXiv EuDML OpenURL
Kabanikhin, Sergey I. Inverse and ill-posed problems. Theory and applications. (English) Zbl 1247.65077 Inverse and Ill-Posed Problems Series 55. Berlin: de Gruyter (ISBN 978-3-11-022400-9/hbk; 978-3-11-022401-6/ebook). xv, 459 p. (2012). Reviewer: Robert Plato (Siegen) MSC: 65J22 65J20 34B24 35R25 35R30 45Q05 47A52 65F20 65F22 65M30 65M32 65N20 65N21 80A23 35K20 35K58 35J25 35L05 35L20 45G10 45B05 45D05 35Q61 44A12 65R10 65R30 65R32 35-02 45-02 65-02 34A55 PDF BibTeX XML Cite \textit{S. I. Kabanikhin}, Inverse and ill-posed problems. Theory and applications. Berlin: de Gruyter (2012; Zbl 1247.65077) Full Text: DOI OpenURL
Rofe-Beketov, F. S.; Zubkova, E. I. Inverse scattering problem on the axis for the triangular \(2\times 2\) matrix potential with or without a virtual level. (English) Zbl 1248.47014 Azerb. J. Math. 1, No. 2, 3-69 (2011). Reviewer: Hubert Kalf (München) MSC: 47A40 81U40 34L25 34L40 34A55 47-02 PDF BibTeX XML Cite \textit{F. S. Rofe-Beketov} and \textit{E. I. Zubkova}, Azerb. J. Math. 1, No. 2, 3--69 (2011; Zbl 1248.47014) OpenURL
Golinskii, Leonid B.; Kheifets, Alexander; Yuditskii, Peter On the scattering problem in Ryckman’s class of Jacobi matrices. (English) Zbl 1235.47030 J. Spectr. Theory 1, No. 2, 111-121 (2011). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B36 39A12 47A40 PDF BibTeX XML Cite \textit{L. B. Golinskii} et al., J. Spectr. Theory 1, No. 2, 111--121 (2011; Zbl 1235.47030) Full Text: DOI arXiv OpenURL
Adıvar, Murat Quadratic pencil of difference equations: Jost solutions spectrum, and principal vectors. (English) Zbl 1274.39039 Quaest. Math. 33, No. 3, 305-323 (2010). MSC: 39A70 47B39 39A13 PDF BibTeX XML Cite \textit{M. Adıvar}, Quaest. Math. 33, No. 3, 305--323 (2010; Zbl 1274.39039) Full Text: DOI arXiv OpenURL
Li, Cun; Song, Xuanyu; Zhang, Xinwei; Zhang, Dongling Demonstration of soliton solutions of the isotropic Landau-Lifschitz equation. (Chinese. English summary) Zbl 1226.35070 J. Xinyang Norm. Univ., Nat. Sci. 23, No. 1, 50-53 (2010). MSC: 35Q51 37K15 35Q60 35B53 PDF BibTeX XML Cite \textit{C. Li} et al., J. Xinyang Norm. Univ., Nat. Sci. 23, No. 1, 50--53 (2010; Zbl 1226.35070) Full Text: DOI OpenURL
Bairamov, Elgiz; Aygar, Yelda; Olgun, Murat Jost solution and the spectrum of the discrete Dirac systems. (English) Zbl 1210.39003 Bound. Value Probl. 2010, Article ID 306571, 11 p. (2010). MSC: 39A12 35Q40 35P25 81Q05 PDF BibTeX XML Cite \textit{E. Bairamov} et al., Bound. Value Probl. 2010, Article ID 306571, 11 p. (2010; Zbl 1210.39003) Full Text: DOI EuDML OpenURL
Yardimci, Seyhmus Jost solution of the matrix difference equations. (English) Zbl 1201.39017 Sarajevo J. Math. 6(18), No. 1, 75-79 (2010). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A70 47A10 47B39 39A12 34L05 PDF BibTeX XML Cite \textit{S. Yardimci}, Sarajevo J. Math. 6(18), No. 1, 75--79 (2010; Zbl 1201.39017) OpenURL
He, Jinchun; Chen, Zongyun; Huang, Nianning The fundamental problem of inverse scattering method in solving the DNLS equation. (Chinese. English summary) Zbl 1212.35388 Acta Phys. Sin. 58, No. 9, 6063-6067 (2009). MSC: 35Q51 37K15 35Q55 PDF BibTeX XML Cite \textit{J. He} et al., Acta Phys. Sin. 58, No. 9, 6063--6067 (2009; Zbl 1212.35388) OpenURL
Ao, Sheng-Mei; Yan, Jia-Ren Three types of expression in dark-soliton perturbation theory based on squared Jost solutions. (English) Zbl 1355.35168 Commun. Theor. Phys. 47, No. 1, 15-18 (2007). MSC: 35Q55 35C08 81V80 35P25 81U05 81U40 PDF BibTeX XML Cite \textit{S.-M. Ao} and \textit{J.-R. Yan}, Commun. Theor. Phys. 47, No. 1, 15--18 (2007; Zbl 1355.35168) Full Text: DOI OpenURL
Brown, B. M.; Eastham, M. S. P. A note on the Dixon formula for a finite hypergeometric series. (English) Zbl 1092.33005 J. Comput. Appl. Math. 194, No. 1, 173-175 (2006). Reviewer: Thomas Ernst (Uppsala) MSC: 33C10 34B24 PDF BibTeX XML Cite \textit{B. M. Brown} and \textit{M. S. P. Eastham}, J. Comput. Appl. Math. 194, No. 1, 173--175 (2006; Zbl 1092.33005) Full Text: DOI OpenURL
Efendiev, R. F. Spectral analysis of a class of non-self-adjoint differential operator pencils with a generalized function. (English) Zbl 1178.34106 Theor. Math. Phys. 145, No. 1, 1457-1461 (2005); translation from Teor. Mat. Fiz. 145, No. 1, 102-107 (2005). MSC: 34L05 34A55 PDF BibTeX XML Cite \textit{R. F. Efendiev}, Theor. Math. Phys. 145, No. 1, 1457--1461 (2005; Zbl 1178.34106); translation from Teor. Mat. Fiz. 145, No. 1, 102--107 (2005) Full Text: DOI OpenURL
Gilbert, Daphne; Kerouanton, Alain Zeros of the Jost function for a class of exponentially decaying potentials. (English) Zbl 1095.34055 Electron. J. Differ. Equ. 2005, Paper No. 145, 9 p. (2005). Reviewer: Antonio Linero Bas (Murcia) MSC: 34L40 34B24 PDF BibTeX XML Cite \textit{D. Gilbert} and \textit{A. Kerouanton}, Electron. J. Differ. Equ. 2005, Paper No. 145, 9 p. (2005; Zbl 1095.34055) Full Text: EuDML EMIS OpenURL
Golinskij, L. B.; Egorova, I. E. On limit sets for the discrete spectrum of complex Jacobi matrices. (English. Russian original) Zbl 1098.47029 Sb. Math. 196, No. 6, 817-844 (2005); translation from Mat. Sb. 196, No. 6, 43-70 (2005). Reviewer: Roman Hilscher (Brno) MSC: 47B36 47A10 39A70 PDF BibTeX XML Cite \textit{L. B. Golinskij} and \textit{I. E. Egorova}, Sb. Math. 196, No. 6, 817--844 (2005; Zbl 1098.47029); translation from Mat. Sb. 196, No. 6, 43--70 (2005) Full Text: DOI arXiv OpenURL
Bairamov, E.; Coskun, C. Jost solutions and the spectrum of the system of difference equations. (English) Zbl 1072.39013 Appl. Math. Lett. 17, No. 9, 1039-1045 (2004). Reviewer: Pavel Rehak (Brno) MSC: 39A12 34L05 PDF BibTeX XML Cite \textit{E. Bairamov} and \textit{C. Coskun}, Appl. Math. Lett. 17, No. 9, 1039--1045 (2004; Zbl 1072.39013) Full Text: DOI OpenURL
Aktosun, Tuncay Construction of the half-line potential from the Jost function. (English) Zbl 1071.34006 Inverse Probl. 20, No. 3, 859-876 (2004); corrigendum 20, No. 4, 1355 (2004). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 34A55 34L40 PDF BibTeX XML Cite \textit{T. Aktosun}, Inverse Probl. 20, No. 3, 859--876 (2004; Zbl 1071.34006) Full Text: DOI Link OpenURL
Riehl, S. M. The form of the spectral functions associated with Dirac equations. (English) Zbl 1159.47303 Mathematika 50, No. 1-2, 153-165 (2003). MSC: 47E05 34L40 47A10 81Q05 PDF BibTeX XML Cite \textit{S. M. Riehl}, Mathematika 50, No. 1--2, 153--165 (2003; Zbl 1159.47303) Full Text: DOI OpenURL
Rybkin, Alexei Necessary and sufficient conditions for absolute summability of the trace formulas for certain one dimensional Schrödinger operators. (English) Zbl 1017.34087 Proc. Am. Math. Soc. 131, No. 1, 219-229 (2003). Reviewer: N.D.Sengupta (Mumbai) MSC: 34L40 47E05 34L25 PDF BibTeX XML Cite \textit{A. Rybkin}, Proc. Am. Math. Soc. 131, No. 1, 219--229 (2003; Zbl 1017.34087) Full Text: DOI OpenURL
Egorova, I. The scattering problem for step-like Jacobi operator. (English) Zbl 1092.47010 Mat. Fiz. Anal. Geom. 9, No. 2, 188-205 (2002). Reviewer: Leonid Golinskii (Kharkov) MSC: 47A40 39A70 47B36 PDF BibTeX XML Cite \textit{I. Egorova}, Mat. Fiz. Anal. Geom. 9, No. 2, 188--205 (2002; Zbl 1092.47010) OpenURL
Brown, B. M.; Eastham, M. S. P. Analytic continuation and resonance-free regions for Sturm-Liouville potentials with power decay. (English) Zbl 1019.34032 J. Comput. Appl. Math. 148, No. 1, 49-63 (2002). MSC: 34B24 70K30 PDF BibTeX XML Cite \textit{B. M. Brown} and \textit{M. S. P. Eastham}, J. Comput. Appl. Math. 148, No. 1, 49--63 (2002; Zbl 1019.34032) Full Text: DOI arXiv OpenURL
Ramm, A. G. Reconstruction of the potential from \(I\)-function. (English) Zbl 1020.34012 J. Inverse Ill-Posed Probl. 10, No. 4, 385-394 (2002). MSC: 34A55 34B24 PDF BibTeX XML Cite \textit{A. G. Ramm}, J. Inverse Ill-Posed Probl. 10, No. 4, 385--394 (2002; Zbl 1020.34012) Full Text: DOI arXiv OpenURL
Rybkin, Alexei Some new and old asymptotic representations of the Jost solution and the Weyl \(m\)-function for Schrödinger operators on the line. (English) Zbl 1048.34140 Bull. Lond. Math. Soc. 34, No. 1, 61-72 (2002). MSC: 34L40 34L25 34B20 81U05 PDF BibTeX XML Cite \textit{A. Rybkin}, Bull. Lond. Math. Soc. 34, No. 1, 61--72 (2002; Zbl 1048.34140) Full Text: DOI OpenURL
Docksey, R. G.; Elgin, J. N. Closure of the Manakov system. (English) Zbl 0961.35149 SIAM J. Math. Anal. 32, No. 1, 54-79 (2000). MSC: 35Q55 37K15 35P10 35Q60 PDF BibTeX XML Cite \textit{R. G. Docksey} and \textit{J. N. Elgin}, SIAM J. Math. Anal. 32, No. 1, 54--79 (2000; Zbl 0961.35149) Full Text: DOI OpenURL
Guseinov, I. M. On a representation of the Jost solution for ordinary differential equations. (English. Russian original) Zbl 0947.34003 Funct. Anal. Appl. 33, No. 3, 222-224 (1999); translation from Funkts. Anal. Prilozh. 33, No. 3, 75-77 (1999). Reviewer: Vadim Komkov (Florida) MSC: 34A25 PDF BibTeX XML Cite \textit{I. M. Guseinov}, Funct. Anal. Appl. 33, No. 3, 222--224 (1999; Zbl 0947.34003); translation from Funkts. Anal. Prilozh. 33, No. 3, 75--77 (1999) Full Text: DOI OpenURL
Weder, Ricardo The \(W_{k,p}\)-continuity of the Schrödinger wave operators on the line. (English) Zbl 0945.34070 Commun. Math. Phys. 208, No. 2, 507-520 (1999). MSC: 34L40 35Q55 PDF BibTeX XML Cite \textit{R. Weder}, Commun. Math. Phys. 208, No. 2, 507--520 (1999; Zbl 0945.34070) Full Text: DOI OpenURL
Boiti, M.; Pempinelli, F.; Pogrebkov, A. K.; Prinari, B. Towards an inverse scattering theory for two-dimensional nondecaying potentials. (English. Russian original) Zbl 0951.35118 Theor. Math. Phys. 116, No. 1, 741-781 (1998); translation from Teor. Mat. Fiz. 116, No. 1, 3-53 (1998). MSC: 35Q53 37K15 81U40 PDF BibTeX XML Cite \textit{M. Boiti} et al., Theor. Math. Phys. 116, No. 1, 741--781 (1998; Zbl 0951.35118); translation from Teor. Mat. Fiz. 116, No. 1, 3--53 (1998) Full Text: DOI OpenURL
Kalyakin, L. A. Weak interaction of the perturbed Korteveg-de Vries solutions. (Russian. English summary) Zbl 0947.35140 Fundam. Prikl. Mat. 4, No. 4, 1179-1205 (1998). Reviewer: Jan Chrastina (Brno) MSC: 35Q53 35C10 37K05 PDF BibTeX XML Cite \textit{L. A. Kalyakin}, Fundam. Prikl. Mat. 4, No. 4, 1179--1205 (1998; Zbl 0947.35140) OpenURL
Sadovnichij, V. A.; Popov, A. Yu. On the completeness of systems of Gauss hypergeometric functions. (English. Russian original) Zbl 1008.34076 Differ. Equations 34, No. 5, 596-609 (1998); translation from Differ. Uravn. 34, No. 5, 595-608 (1998). Reviewer: Valentin Chernyatin (Szczecin) MSC: 34L10 34B60 34A30 PDF BibTeX XML Cite \textit{V. A. Sadovnichij} and \textit{A. Yu. Popov}, Differ. Equations 34, No. 5, 596--609 (1998; Zbl 1008.34076); translation from Differ. Uravn. 34, No. 5, 595--608 (1998) OpenURL
Grébert, B.; Guillot, J. C.; Klopp, F. On the spectrum of odd order self-adjoint ordinary differential operators on the real line with quasi-periodic coefficients. (English) Zbl 0869.34066 J. Differ. Equations 135, No. 1, 41-65 (1997). Reviewer: M.Möller (Regensburg) MSC: 34L40 47E05 34L05 PDF BibTeX XML Cite \textit{B. Grébert} et al., J. Differ. Equations 135, No. 1, 41--65 (1997; Zbl 0869.34066) Full Text: DOI Link OpenURL
Huang, Nianning; Chen, Zongyun; Liu, Zhongzhu The method of Darboux transformation matrix for solving the Landau-Lifschitz equation for a spin chain with an easy plane. (English) Zbl 0859.35102 J. Phys. A, Math. Gen. 28, No. 14, 4063-4082 (1995). MSC: 35Q40 82B20 58J72 PDF BibTeX XML Cite \textit{N. Huang} et al., J. Phys. A, Math. Gen. 28, No. 14, 4063--4082 (1995; Zbl 0859.35102) Full Text: DOI OpenURL
Katrakhov, V. V.; Sitnik, S. M. Estimates of the Jost solution to a one-dimensional Schrödinger equation with a singular potential. (English. Russian original) Zbl 0882.34083 Dokl. Math. 51, No. 1, 14-16 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 1, 18-20 (1995). Reviewer: V.Komkov (Roswell) MSC: 34L40 81U40 34L25 81Q05 PDF BibTeX XML Cite \textit{V. V. Katrakhov} and \textit{S. M. Sitnik}, Dokl. Math. 51, No. 1, 14--16 (1995; Zbl 0882.34083); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 340, No. 1, 18--20 (1995) OpenURL
Ramm, A. G. Inversion of fixed-frequency surface data for layered medium. (English) Zbl 0817.35128 J. Inverse Ill-Posed Probl. 2, No. 3, 263-267 (1994). MSC: 35R30 35P25 PDF BibTeX XML Cite \textit{A. G. Ramm}, J. Inverse Ill-Posed Probl. 2, No. 3, 263--267 (1994; Zbl 0817.35128) Full Text: DOI OpenURL
Matveev, Vladimir B. Asymptotics of the multipositon-soliton \(\tau\) function of the Korteweg- de Vries equation and the supertransparency. (English) Zbl 0808.35129 J. Math. Phys. 35, No. 6, 2955-2970 (1994). MSC: 35Q53 81U05 35B40 PDF BibTeX XML Cite \textit{V. B. Matveev}, J. Math. Phys. 35, No. 6, 2955--2970 (1994; Zbl 0808.35129) Full Text: DOI OpenURL
Niedermaier, Max R. Trace identities from tau functions. (English) Zbl 0788.35119 Lett. Math. Phys. 30, No. 3, 217-231 (1994). MSC: 35Q53 37C10 81Q05 81U40 PDF BibTeX XML Cite \textit{M. R. Niedermaier}, Lett. Math. Phys. 30, No. 3, 217--231 (1994; Zbl 0788.35119) Full Text: DOI OpenURL
Kurasov, P. B. Zero-range potentials with internal structures and the inverse scattering problem. (English) Zbl 0761.35075 Lett. Math. Phys. 25, No. 4, 287-297 (1992). MSC: 35P25 34L25 81U40 81U05 PDF BibTeX XML Cite \textit{P. B. Kurasov}, Lett. Math. Phys. 25, No. 4, 287--297 (1992; Zbl 0761.35075) Full Text: DOI OpenURL
Huang, Nianning Darboux transformations for the Korteweg-de Vries equation. (English) Zbl 0753.35082 J. Phys. A, Math. Gen. 25, No. 2, 469-483 (1992). MSC: 35Q53 58J72 PDF BibTeX XML Cite \textit{N. Huang}, J. Phys. A, Math. Gen. 25, No. 2, 469--483 (1992; Zbl 0753.35082) Full Text: DOI OpenURL
Atkinson, D. Rational reflection coefficients. (English) Zbl 0722.35092 Nonlinear evolution equations: integrability and spectral methods, Proc. Workshop, Como/Italy 1988, Proc. Nonlinear Sci., 33-39 (1990). Reviewer: H.Ding (Beijing) MSC: 35R30 35Q40 81U40 PDF BibTeX XML OpenURL
Degasperis, A. Integro-differential evolution equations associated with a Riemann- Hilbert spectral problem. (English) Zbl 0751.35034 Nonlinear evolution equations: integrability and spectral methods, Proc. Workshop, Como/Italy 1988, Proc. Nonlinear Sci., 53-64 (1990). Reviewer: A.L.Edelson (Davis) MSC: 35Q15 35Q51 45K05 58J72 PDF BibTeX XML Cite \textit{A. Degasperis}, in: Reduction of \(3 \times{} 3\) polynomial bundles and new types of integrable 3-wave interactions. . 53--64 (1990; Zbl 0751.35034) OpenURL
Newton, Roger G. An inverse spectral problem in three dimensions. (English) Zbl 0554.35125 Inverse problems, Proc. Symp. Appl. Math., New York 1983, SIAM-AMS Proc. 14, 81-90 (1984). MSC: 35R30 35J10 35P25 PDF BibTeX XML OpenURL
Au-Yeung, T. C.; Fung, P. C. W.; Au, C. Modified KdV solitons with non-zero vacuum parameter obtainable from the ZS-AKNS inverse method. (English) Zbl 0553.35075 J. Phys. A 17, 1425-1436 (1984). Reviewer: L.Y.Shih MSC: 35Q99 35P25 35G10 35K25 35R30 PDF BibTeX XML Cite \textit{T. C. Au-Yeung} et al., J. Phys. A, Math. Gen. 17, 1425--1436 (1984; Zbl 0553.35075) Full Text: DOI OpenURL
Dutt, Ranabir; Varshni, Y. P. Extension of Fuda’s off-shell analysis to screened Coulomb potentials for arbitrary/and limiting relations. (English) Zbl 0545.35083 J. Math. Phys. 24, 2770-2775 (1983). MSC: 35Q99 35J10 81U05 PDF BibTeX XML Cite \textit{R. Dutt} and \textit{Y. P. Varshni}, J. Math. Phys. 24, 2770--2775 (1983; Zbl 0545.35083) Full Text: DOI OpenURL
Rochus, Pierre Upper bounds for the many-channel Marchenko transformation operator and its derivatives. (English) Zbl 0432.35064 J. Math. Phys. 20, 781-792 (1979). MSC: 35P25 35J10 35Q99 81U05 PDF BibTeX XML Cite \textit{P. Rochus}, J. Math. Phys. 20, 781--792 (1979; Zbl 0432.35064) Full Text: DOI OpenURL
Ivanov, S. A.; Pavlov, B. S. Carleson series of resonances in the Regge problem. (English) Zbl 0401.47020 Math. USSR, Izv. 12, 21-51 (1978). MSC: 47E05 34L99 47B44 47F05 47A10 47A70 PDF BibTeX XML Cite \textit{S. A. Ivanov} and \textit{B. S. Pavlov}, Math. USSR, Izv. 12, 21--51 (1978; Zbl 0401.47020) Full Text: DOI OpenURL