With the use of the theory of generalized inversion of operators and integral operators, we obtain a criterion of solvability and determine the general form of solutions of a linear boundary-value problem for the integrodifferential equation with degenerate kernel in a Banach space.

中文翻译：

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Banach空间中带退化核的积分微分Fredholm方程线性边值问题的可解性判据

利用算子和积分算子的广义反演理论，我们得到了可解性判据，并确定了Banach空间中具有退化核的积分微分方程的线性边值问题的解的一般形式。