Submit an Article
Become a reviewer
Vol 33 Iss. 3
Pages:
149-153
Download volume:
RUS
Article

On one method for solving linear integral equations

Authors:
N. P. Sergeev
About authors
  • Ph.D.
Date submitted:
1955-04-04
Date accepted:
1955-11-26
Date published:
1956-03-13

Abstract

1. Fredholm equation. Let us consider integral equations of the form (1). Finally, we note that the proposed method can be easily generalized to the case of the system of integral equations. 2. Volterra equation. The above idea can be generalized to the Volterra equation of the second kind. Let us consider equation (23) (see the article). Thus, equation (23) is equivalent to two functional linear differential equations (33) and (37) with Cauchy conditions (34) and (38), and the solution of equation (23) will be obtained by the formula (see article).

Область исследования:
(Archived) Articles
Keywords:
-
Funding:

None

Go to volume 33

Similar articles

On the analytic form of the fundamental functions of one class of correlation integral equations
1956 М. K. Nomokonov
Moment of inertia, center of gravity and surface area of rotation
1956 А. K. Bodunov
Physico-chemical investigation of the ternary system MgO-Cr₂O₃-ZrO₂
1956 R. Ya. Epstein, P. Ya. Saldau
Distribution of stresses on the contour of a rectangular hole during bending of an infinite plate
1956 V. N. Kozhevnikova
New technical method of calculation of drum shells of mine hoisting machines
1956 G. V. Verstakov
Heat distribution in an infinite medium in the presence of a flat interface
1956 L. S. Gandin, R. E. Soloveitchik