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<p>We develop a holomorphic regularization method for the Cauchy problem associated with a Tikhonov system of differential equations of a special type. We introduce the concept of pseudoholomorphic solutions and prove the existence of such solutions. We propose an algorithm, based on the holomorphic regularization method, for constructing approximate solutions to the problem. Bibliography: 8 titles.</p>

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THE HOLOMORPHIC REGULARIZATION METHOD FOR SPECIAL TYPE OF TIKHONOV SYSTEM

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • D. A. Maslov

摘要

We develop a holomorphic regularization method for the Cauchy problem associated with a Tikhonov system of differential equations of a special type. We introduce the concept of pseudoholomorphic solutions and prove the existence of such solutions. We propose an algorithm, based on the holomorphic regularization method, for constructing approximate solutions to the problem. Bibliography: 8 titles.