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Vol 26 No 1
Pages:
141-152
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RUS
Research article
Articles

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).

Keywords:
integro-differential equations
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References

  1. Назаров Н.Н. Труды Института математики и механики, АН Узб. ССР вып. IV, 1948.
  2. Буницкий Bulletin des sciences mathe’m, т. XXXII, 1908.
  3. Брату Comtes Rendis, т. C XZVIII, № 1, 1909.

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