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<p>In this paper, we introduce the notion of Bessel operator functions and their generator and examine their properties. A criterion of the uniform well-posedness of the Cauchy problem for the Euler–Poisson–Darboux equation is obtained, and relationships of this family with a series of other resolving operators are found.</p>

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Family of Bessel Operator Functions

  • 期刊论文

  • 发表日期：

    2025年2月27日

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  • A. V. Glushak

摘要

In this paper, we introduce the notion of Bessel operator functions and their generator and examine their properties. A criterion of the uniform well-posedness of the Cauchy problem for the Euler–Poisson–Darboux equation is obtained, and relationships of this family with a series of other resolving operators are found.