Sergey Kabanikhin, Maxim Shishlenin, Nikita Novikov, Nikita Prokhoshin, “Spectral, Scattering and Dynamics: Gelfand–Levitan–Marchenko–Krein Equations”, Mathematics, 11, № 21, 2023, 4458
S I Kabanikhin, D V Klyuchinskiy, N S Novikov, M A Shishlenin, “On the problem of modeling the acoustic radiation pattern of source for the 2D first-order system of hyperbolic equations”, J. Phys.: Conf. Ser., 1715, № 1, 2021, 012038
Nikita Novikov, Maxim Shishlenin, “Direct Method for Identification of Two Coefficients of Acoustic Equation”, Mathematics, 11, № 13, 2023, 3029
A. V. Baev, “Imaging of layered media in inverse scattering problems for an acoustic wave equation”, Math Models Comput Simul, 8, № 6, 2016, 689
Maxim A. Shishlenin, Mohammad Izzatulah, Nikita S. Novikov, “Comparative Study of Acoustic Parameter Reconstruction by using Optimal Control Method and Inverse Scattering Approach”, J. Phys.: Conf. Ser., 2092, № 1, 2021, 012004
Dmitry V. Lukyanenko, Maxim A. Shishlenin, Vladimir T. Volkov, “Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation”, Journal of Inverse and Ill-posed Problems, 27, № 5, 2019, 745
Sergey I. Kabanikhin, Maxim A. Shishlenin, “Numerical algorithm for two-dimensional inverse acoustic problem based on Gel'fand–Levitan–Krein equation”, jiip, 18, № 9, 2011, 979
Sergey I. Kabanikhin, Nikita S. Novikov, Maxim A. Shishlenin, “Gelfand-Levitan-Krein method in one-dimensional elasticity inverse problem”, J. Phys.: Conf. Ser., 2092, № 1, 2021, 012022
Andrey L. Karchevsky, Michael V. Klibanov, Lam Nguyen, Natee Pantong, Anders Sullivan, “The Krein method and the globally convergent method for experimental data”, Applied Numerical Mathematics, 74, 2013, 111
A. V. Baev, “On t-local solvability of inverse scattering problems in two-dimensional layered media”, Comput. Math. and Math. Phys., 55, № 6, 2015, 1033