MULTICOMPONENT CONJUGATION PROBLEMS AND AUXILIARY ABSTRACT BOUNDARY-VALUE PROBLEMS

摘要

Auxiliary abstract boundary-value problems generated by conjugation problems are considered. Conjugation problems are problems in which interrelations between unknown functions defined in adjoining domains are given only through the boundaries of these domains. 1.1. On the abstract operator approach to conjugation problems. The papers of Agranovich and others (see [3-5]) and his lectures at the annual Crimean Autumnal Mathematical School (Laspy-Batiliman) have become the initial boost for the authors. Conjugation problems containing a spectral parameter on the boundary of conjugation μ and a fixed parameter λ ∈ C in the equations were studied in these papers. Moreover, the first domain is fixed and the second domain is a complement to the whole space. In addition, conditions of emission or decay of a solution at infinity are imposed.