In this paper we prove that an operator with the cellular indecomposable property has no singular points in the semi-Fredholm domain. Besides its own interests, this fills a gap in [3]. Our proof relies on the 4 × 4 matrix ...

Inverse scattering and spectral one-dimensional problems are discussed systematically in a selfcontained way. Many novel results due to the author are presented. The classical results are often presented in a new way. ...

Property C, that is, completeness of the set of products of some solutions to Sturm-Liouville equations is proved. Several uniqueness theorems for various inverse scattering problems are obtained in a very simple way with ...

It is proved that any potential of a single layer v is identically equal to a potential of a double layer w in the bounded domain, D, and a necessary and sufficient condition for v≡w in Ω=R³/D, the exterior domain, is given.

Combining an asymptotic method and computational modelling the authors propose a method for creating materials with the desired electrodynamical characteristics, in particular, with a desired refraction coefficient. The ...

Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The limiting case is ...