P. A. Cojuhari

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Articles: 2

Scattering problem for Dirac system with nonlocal potentials

P. A. Cojuhari, L. P. Nizhnik

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 25 (2019), no. 3, 211-218

For a Dirac system on the half-axis, we obtain an explicit expression for the scattering operator in terms of a nonlocal potential.

On the discrete spectrum of a linear operator pencil arising in transport theory

P. A. Cojuhari

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 20 (2014), no. 1, 10-16

We study the problem of the finiteness of the discrete spectrum for linear operator pencils occurring in one-velocity transport theory. The results are obtained using direct methods of perturbation theory for linear operators. The proposed approach allowed to give a relatively quick proofs of the main results improving related results obtained previously by K. M. Case and C. G. Lekkerkerker.


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