Direct methods for solving integro-differential equations in the singular case


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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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N. S. Gabbasov

Naberezhnye Chelny Institute

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Email: gabbasovnazim@rambler.ru
Russian Federation, Naberezhnye Chelny

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