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Vol 26 Iss. 1
Pages:
141-152
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RUS
Article

On solutions of one class of linear integro-differential equations

Authors:
T. I. Vigranenko
Date submitted:
1951-07-18
Date accepted:
1951-09-03
Date published:
1952-03-26

Abstract

In connection with the study of branching points of nonlinear integro-differential equations, to the solution of which the problem of longitudinal bending of a rod is reduced, N. N. Nazarov proposed to study the integro-differential equation (1) (see article). ... This article proposes a simple method for solving equation (1), which leads to the need to solve one Fredholm integral equation and one algebraic system, the number of unknowns of which does not exceed m (see article).

Область исследования:
(Archived) Articles
Keywords:
integro-differential equations
Go to volume 26

References

  1. Nazarov N.N. Proceedings of the Institute of Mathematics and Mechanics, Academy of Sciences of the Uzbek SSR, issue IV, 1948.
  2. Bunitsky, Bulletin des sciences mathe'm, vol. XXXII, 1908.
  3. Bratu, Comtes Rendis, vol. C XZVIII, No. 1, 1909.

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