RUS  ENG
Полная версия
ЖУРНАЛЫ // Известия Саратовского университета. Новая серия. Серия: Математика. Механика. Информатика

Изв. Сарат. ун-та. Нов. сер. Сер.: Математика. Механика. Информатика, 2020, том 20, выпуск 1, страницы 17–28 (Mi isu825)

Asymptotics of solutions of some integral equations connected with differential systems with a singularity
M. Yu. Ignatiev

Библиографический список

1. Brunnhuber R., Kostenko A., Teschl G., “Singular Weyl – Titchmarsh – Kodaira theory for one-dimensional Dirac operators”, Monatshefte für Mathematik, 174 (2014), 515–547  crossref
2. Albeverio S., Hryniv R., Mykytyuk Ya., “Reconstruction of radial Dirac operators”, J. Math. Phys., 48:4 (2007), 043501, 14 pp.  crossref
3. Albeverio S., Hryniv R., Mykytyuk Ya., “Reconstruction of radial Dirac and Schrödinger operators from two spectra”, J. Math. Anal. Appl., 339:1 (2008), 45–57  crossref
4. Serier F., “Inverse Problems Inverse spectral problem for singular Ablowitz-Kaup-Newell-Segur operators on [0, 1]”, Inverse Problems, 22:4 (2006), 1457–1484  crossref
5. Gorbunov O. B., Shieh C.-T., Yurko V. A., “Dirac system with a singularity in an interior point”, Applicable Analysis, 95:11 (2016), 2397–2414  crossref
6. Beals R., Coifman R. R., “Scattering and inverse scattering for first order systems”, Comm. Pure Appl. Math., 37:1 (1984), 39–90  crossref
7. Zhou X., “Direct and inverse scattering transforms with arbitrary spectral singularities”, Comm. Pure Appl. Math., 42:7 (1989), 895–938  crossref
8. Yurko V. A., “Inverse spectral problems for differential systems on a finite interval”, Results Math., 48:3–4 (2005), 371–386  crossref
9. Ignatyev M., “Spectral analysis for differential systems with a singularity”, Results Math., 71:3–4 (2017), 1531–1555  crossref
10. Yurko V. A., “On higher-order differential operators with a singular point”, Inverse Problems, 9:4 (1993), 495–502  crossref
11. Fedoseev A. E., “Inverse problems for differential equations on the half-line having a singularity in an interior point”, Tamkang Journal of Mathematics, 42:3 (2011), 343–354  crossref
12. Beals R., Deift P., Tomei C., Direct and inverse scattering on the line, American Mathematical Society, Providence, Rhod Island, 1988, 209 pp.
13. Sibuya Yu., “Stokes phenomena”, Bull. Amer. Math. Soc., 83:5 (1977), 1075–1077
14. Ignatiev M., “Integral transforms connected with differential systems with a singularity”, Tamkang Journal of Mathematics, 50:3 (2019), 253–268  crossref


© МИАН, 2025