Affiliation:
1. Bukhara State University
2. Bukhara State University, Bukhara Branch of the Institute of Mathematics named after V.I.Romanovskiy of the Academy of Sciences of the Republic of Uzbekistan
Abstract
In the present paper we consider a 2 \times 2 operator matrix H. We construct an analog of the well-known Faddeev equation for the eigenvectors of H and study some important properties of this equation, related with the number of eigenvalues. In particular, the Birman–Schwinger principle for H is proven.
Subject
General Earth and Planetary Sciences,General Environmental Science
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