On solutions of one class of second-order operator differential equations in the class of holomorphic vector functions |
| |
Authors: | S S Mirzoev S G Veliev |
| |
Institution: | 1.Baku State University,Baku,Azerbaijan |
| |
Abstract: | We establish sufficient conditions for the completeness of a part of root vectors of one class of the second-order operator
bundles corresponding to the characteristic numbers from a certain sector and prove the theorem on completeness of a system
of elementary holomorphic solutions of the corresponding second-order homogeneous operator differential equations. We also
indicate the conditions of correct and unique solvability of a boundary-value problem for the analyzed equation with linear
operator in the boundary condition and estimate the norm of the operator of the intermediate derivative in the perturbed part
of the equation. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |