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Vol 33 Iss. 3
Pages:
161-176
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RUS
Article

About one class of linear integro-differential equations

Authors:
Т. I. Vigranenko
Date submitted:
1955-04-20
Date accepted:
1955-11-23
Date published:
1956-03-13

Abstract

Let an integro-differential equation be given (see article). In this paper, we investigate the solution of equation (1) for initial conditions (2) by the method we applied for in [1]. This method, with slight modifications, is easily transferred to the case of m≤n as well.

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Keywords:
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References

  1. Vigranenko T.I. Journal of Mining Institute, 1952, vol. XXVI, iss. 1.
  2. Nikolenko V.N. Advances of Math. Sciences, 1952, vol. VII, 1.
  3. Nekrasov A.I. Proceedings of the Central Aerospace Institute, 1934, 190.
  4. Vasiliev V.V. Applied Mathematics and Mechanics, 1951, vol. XV, iss. V.
  5. Vasiliev V.V. RAS 1955, vol. C. 5.

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