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

About one method of solution of 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 equationThe above idea can be generalized to the Volterra equation of genus II. 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

Construction of solutions of integral equations in the form of degree series
1956 N. P. Sergeev
Note on a paper by Barbuti
1956 V. A. Yakubovich
On the theory of vibrating machines
1956 N. P. Neronov, А. F. Zakharevich, P. A. Zhuravlev
On one regularity in the arrangement of center projections on the general picture plane
1956 P. V. Filippov
Distribution of stresses on the contour of a rectangular hole during bending of an infinite plate
1956 V. N. Kozhevnikova
On the Friedrichs method of expansion of a positively defined operator to a self-adjoint operator
1956 М. Sh. Birman