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Vol 33 Iss. 3
Pages:
149-153
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RUS
Article

About one method of solution of linear integral equations

Authors:
N. P. Sergeev
About authors
  • Ph.D.
Date submitted:
1955-09-25
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).

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Keywords:
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