Abstract
We study a linear integro-differential equation with a coefficient that has zeros of finite order. For its approximate solution in the space of generalized functions, we suggest and justify special generalized cases of the method of subdomains, the collocation method, and the moment method.
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Original Russian Text © N.S. Gabbasov, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 7, pp. 904–916.
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Gabbasov, N.S. Direct methods for solving integro-differential equations in the singular case. Diff Equat 52, 863–876 (2016). https://doi.org/10.1134/S0012266116070065
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DOI: https://doi.org/10.1134/S0012266116070065