Zhuravlev V. Generalized inverse operators and normally solvable boundary problems in Banach spaces

The thesis convers the development of the general concept of the investigations into the solutions and structure of general solutions of boundary problems for operator equations with generalized inverse operators in Banach and Hilbert spaces, the above operator equations being not always solvable. The noted the formulas for constucting for bounded generalized inverse and pseudo-inverse operators for normally solvable operators in Banach and Hilbert spaces are obtained. The necessary and satisfactory conditions of existence and the general view of solutions for Fredholm's linear integral equations with confluent nucleus, impulse Noether's operator equations in Banach and Hilbert spaces and boundary problems are obtained.