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<p>The method of holomorphic regularization of singular perturbations is applied to the boundary-value problem for a second-order equation. We prove that after a precise description of singularities, the regular part of the solution depends analytically on the parameter.</p>

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HOLOMORPHIC REGULARIZATION IN THE THEORY OF BOUNDARY-VALUE PROBLEMS

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • M. I. Besova

摘要

The method of holomorphic regularization of singular perturbations is applied to the boundary-value problem for a second-order equation. We prove that after a precise description of singularities, the regular part of the solution depends analytically on the parameter.