Inverse problems for convection-diffusion equations with the condition of pointwise overdetermination are considered. It is proven that problem on recovering point sources uniquely solvable under certain conditions data.

An α-stable approach to the study of the P(D) distribution of unresolved point sources in CMB sky maps Abstract. We present a new approach to the statistical study and modelling of number counts of faint point sources in astronomical images, i.e. counts of sources whose flux falls below the detection limit of a survey. The approach is based on the theory of α-stable distributions. We show that ...

In recent year's renewable energy sources have become a useful alternative for the power generation. The power of photovoltaic is nonlinear function of its voltage and current. It is necessary to maintain the operation point of photovoltaic in order to get the maximum power point (MPP) in various solar intensity. Fuzzy logic controller has advantage in handling non-linear system. Maximum power ...

The paper is concerned with an inverse point source problem for the Helmholtz equation. It consists of recovering locations and amplitudes a finite number radiative sources inside given inhomogeneous medium from knowledge single boundary measurement. main result new H\"{o}lder type stability estimate inversion under assumption that are well separated. proof based on combination Carleman estimat...