We study the question whether linear one-dimensional integro-differential equations with constant limits of integration (equations of Fredholm type) containing no free differential expression (equations of first kind) can be reduced to integral equations of first kind and to Fredholm integro-differential equations of second kind.
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A. F. Kalaida and R. K. Klimenko,Single-block Matrix Methods of Rank Zero for Solving Linear Problems for One-dimensional Integro-differential Equations of Type (m, k) [in Russian], UkrNIINITI No. 915UkD84, Kiev (1984).
Translated fromVychislitel'naya i Prikladnaya Matematika, Issue 71, 1990, pp. 20–27.
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Golovach, G.P., Kalaida, A.F. On linear Fredholm integro-differential equations of first kind. J Math Sci 68, 748–753 (1994). https://doi.org/10.1007/BF01672642
- Integral Equation
- Constant Limit
- Fredholm Type