The twentieth problem of Hilbert. Generalized solutions of operational equations. Lyashko S.I., Nomirovsky D. A and others

Among the 23 problems of D. Gilbert, which this great mathematician formulated in 1900 at the International Congress of Mathematics in Paris as a will to future generations of mathematicians, the twentieth problem is occupied by the “General task of the boundary conditions”, which poses the problem of expanding the classic The concepts of solution and development of the concept of a generalized solution of the operator equation.

The final solution to this problem does not yet exist. However, the presence of many different definitions of generalized decisions existing today, and obvious analogies between them suggest that there is a certain general design-approach to constructing the concept of generalized resolution. This book is dedicated to the search for this approach.