SYSTEM COMPLETENESS OF PRINCIPAL VECTORS OF RESOLVENTS OF THE DIRICHLET PROBLEM

In appendices mathematical methods are applied both to justification of adequacy of mathematical model, and to studying of the history of real process. Therefore, the prominent place in the theory of the linear and nonlinear elliptic equations holds qualitative behavior of solutions of these equations. The issue of completeness of principal vectors resolvents of the elliptic operator is considered in the article. At first, some lemmas are proved, and then the proof of the fundamental theorem is provided. The condition of completeness of principal vectors resolvents of one degenerating elliptic operator in Hilbertian space is received.