Zobrazeno 1 - 10
of 17
pro vyhledávání: '"I. M. Guseinov"'
Autor:
I. M. Guseinov, F. Z. Dostuev
Publikováno v:
Mathematical Notes. 105:923-928
Autor:
Ag. Kh. Khanmamedov, I. M. Guseinov
Publikováno v:
Ukrainian Mathematical Journal. 70:1604-1618
We consider a one-dimensional Schrodinger equation on the entire axis whose potential rapidly decreases on the left-hand side and infinitely increases on the right-hand side. By the method of transformation operators, we study the inverse scattering
Publikováno v:
Theoretical and Mathematical Physics. 195:538-547
We consider the Schrodinger equation with an additional quadratic potential on the entire axis and use the transformation operator method to study the direct and inverse problems of the scattering theory. We obtain the main integral equations of the
Autor:
L. I. Mammadova, I. M. Guseinov
Publikováno v:
Doklady Mathematics. 90:401-404
Autor:
A. G. Dzhamshidipur, I. M. Guseinov
Publikováno v:
Differential Equations. 50:554-558
We give a complete solution of the inverse scattering problem for the Sturm-Liouville equation with spectral parameter in the discontinuity condition in the absence of discrete spectrum.
Autor:
Ag. Kh. Khanmamedov, I. M. Guseinov
Publikováno v:
Computational Mathematics and Mathematical Physics. 49:1516-1520
For the Cauchy problem for a Langmuir lattice with fixed ends, an algorithm based on the inverse scattering method is designed and substantiated.
Autor:
I. M. Nabiev, I. M. Guseinov
Publikováno v:
Sbornik: Mathematics. 198:1579-1598
The inverse problem of spectral analysis for a quadratic pencil of Sturm-Liouville operators on a finite interval is considered. A uniqueness theorem is proved, a solution algorithm is presented, and sufficient conditions for the solubility of the in
On the Jost solutions of the Schrödinger-type equations with a polynomial energy-dependent potential
Autor:
Anar Adiloglu Nabiev, I. M. Guseinov
Publikováno v:
Inverse Problems. 22:55-67
The Jost solutions of the Schrodinger-type equation with a polynomial energy-dependent potential on the entire real line (-infinity; +infinity) are investigated. The integral representations for the Jost solutions are constructed and some properties
Publikováno v:
Siberian Mathematical Journal. 41:453-464
Autor:
A. Kh. Khanmamedov, I. M. Guseinov
Publikováno v:
Theoretical and Mathematical Physics. 119:739-749
We obtain formulas allowing us to find solutions of the Toda chain using the inverse scattering transform method and investigate the t→∞ asymptotic behavior of the solutions.