RUS  ENG
Full version
JOURNALS // Differentsial'nye Uravneniya

Differ. Uravn., 2005, Volume 41, Number 3, Pages 298–305 (Mi de11237)

On the Inverse Problem for a Quadratic Pencil of Sturm–Liouville Operators with Periodic Potential
B. A. Babajanov, A. B. Khasanov, A. B. Yakhshimuratov

This publication is cited in the following articles:
  1. A. B. Khasanov, R. Kh. Eshbekov, T. G. Hasanov, “Integration of a non-linear Hirota type equation with additional terms”, Izv. Math., 89:1 (2025), 196–219  mathnet  crossref  crossref  mathscinet  adsnasa  isi
  2. B.A. Babajanov, Sh.O. Sadullaev, M.M. Ruzmetov, “Integration of the Kaup–Boussinesq system via inverse scattering method”, Partial Differential Equations in Applied Mathematics, 11 (2024), 100813  crossref
  3. A. B. Khasanov, T. G. Hasanov, “The cauchy problem for the nonlinear complex modified Korteweg-de Vries equation with additional terms in the class of periodic infinite-gap functions”, Siberian Math. J., 65:4 (2024), 846–868  mathnet  crossref  crossref
  4. B. A. Babajanov, F. B. Abdikarimov, F. U. Sulaymonov, “On the Integration of the Hierarchy of the Kaup–Boussinesq System with a Self-Consistent Source”, Lobachevskii J Math, 45:7 (2024), 3233  crossref
  5. B. A. Babajanov, A. Sh. Azamatov, R. B. Atajanova, “Integration of the Kaup–Boussinesq system with time-dependent coefficients”, Theoret. and Math. Phys., 216:1 (2023), 961–972  mathnet  crossref  crossref  mathscinet  adsnasa  isi
  6. A. Khasanov, R. Eshbekov, Kh. Normurodov, “Integration of a Nonlinear Hirota Type Equation with Finite Density in the Class of Periodic Functions”, Lobachevskii J Math, 44:10 (2023), 4329  crossref
  7. A. B. Khasanov, Kh. N. Normurodov, U. O. Khudayorov, “Cauchy Problem for the Nonlinear Liouville Equation in the Class of Periodic Infinite-Gap Functions”, Diff Equat, 59:10 (2023), 1413  crossref
  8. B. A. Babajanov, A. Sh. Azamatov, “Integration of the Kaup-Boussinesq system with a self-consistent source via inverse scattering method”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 32:2 (2022), 153–170  mathnet  crossref  mathscinet
  9. A. Yakhshimuratov, T. Kriecherbauer, B. Babajanov, “On the Construction and Integration of a Hierarchy for the Kaup System with a Self-Consistent Source in the Class of Periodic Functions”, Z. mat. fiz. anal. geom., 17:2 (2021), 233  crossref
  10. Ufa Math. J., 12:1 (2020), 103–113  mathnet  crossref  isi
  11. S. I. Mitrokhin, “Asimptotika spektra periodicheskoi kraevoi zadachi dlya differentsialnogo operatora s summiruemym potentsialom”, Tr. IMM UrO RAN, 25, no. 1, 2019, 136–149  mathnet  crossref  elib
  12. Vladislav V. Kravchenko, Sergii M. Torba, Ulises Velasco-García, “Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems”, Journal of Mathematical Physics, 56:7 (2015)  crossref
  13. A. Cabada, A. Yakhshimuratov, “The System of Kaup Equations with a Self-Consistent Source in the Class of Periodic Functions”, Zhurn. matem. fiz., anal., geom., 9:3 (2013), 287–303  mathnet  mathscinet


© Steklov Math. Inst. of RAS, 2026