In this paper, for the first time, we study inverse Sturm–Liouville problem with polynomials of spectral parameter in boundary condition and entire analytic functions second one. For investigation new problem, develop an approach based on construction a special vector functional sequence suitable Hilbert space. The uniqueness recovering potential from part spectrum is proved. Furthermore, our m...

This paper examines uniqueness and stability results for an inverse problem in thermal imaging. The goal is to identify an unknown boundary of an object by applying a heat ux and measuring the induced temperature on the boundary of the sample. The problem is studied both in the case in which one has data at every point on the boundary of the region and the case in which only nitely many measure...

The inverse problem under consideration is to reconstruct the shape of an impenetrable two-dimensional obstacle with a generalized impedance boundary condition from the far field pattern for scattering of time-harmonic acoustic or E-polarized electromagnetic plane waves. We propose an inverse algorithm that extends the approach suggested by Johansson and Sleeman [10] for the case of the inverse...

This paper examines an inverse problem which arises in thermal imaging. We investigate the problem of detecting and imaging corrosion in a material sample by applying a heat flux and measuring the induced temperature on the sample's exterior boundary. The goal is to identify the profile of some inaccessible portion of the boundary. We study the case in which one has data at every point on the b...

We consider the inverse boundary value problem in the case of discrete electrical networks containing nonlinear (non-ohmic) conductors. For a fixed nonlinear electrical network, we show that under reasonable assumptions, there are well-defined Dirichletto-Neumann and Neumann-to-Dirichlet maps relating boundary voltages and boundary currents. We also generalize work of Curtis, Morrow, and others...

In this paper we prove uniqueness in the inverse boundary value problem for quasilinear elliptic equations whose linear part is Laplacian and nonlinear divergence of a function analytic gradient solution. The main novelty terms result that coefficients nonlinearity are allowed to be “anisotropic”. As previous works, proof reduces an integral identity involving tensor product gradients 3 or more...