Abstract We study a linear integro-differential equation of the third kind with a coefficient having power-order zeros. To solve this equation approximately in the space of generalized functions, we propose and justify a generalized version of the subdomain method based on special Kantorovich polynomials.

中文翻译：

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具有退化系数的积分-微分方程的近似解

摘要 我们研究了系数具有幂阶零点的第三类线性积分微分方程。为了在广义函数空间中近似求解该方程，我们提出并证明了基于特殊 Kantorovich 多项式的子域方法的广义版本。