3 papers
math.AP2019
On an optimal potential of Schrödinger operator with prescribed eigenvalue
Yavdat Ilyasov, Nurmukhamet Valeev
The purpose of this paper is twofold: firstly, we present a new type of relationship between inverse problems and nonlinear differential equations. Secondly, we introduce a new typ…
math.AP2018
On an inverse spectral problem and a generalized Sturm's nodal theorem for nonlinear boundary value problems
Y. Sh. Ilyasov, N. F. Valeev
We consider an inverse optimization spectral problem for the Sturm-Liouville operator subject to the separated boundary conditions. In the main res…
math.AP2018
On nonlinear boundary value problem corresponding to -dimensional inverse spectral problem
Y. Sh. Ilyasov, N. F. Valeev
We establish a relationship between an inverse optimization spectral problem for N-dimensional Schrödinger equation and a solution of the nonlinear boundary value prob…