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Abstract <p>In the Tricomi problem, the value of the desired function is specified at all points of the boundary characteristic. In this paper, we study the correctness of the problem where part of the boundary characteristic is freed from the boundary condition and this missing Tricomi condition is replaced by a nonlocal condition with displacement on the internal characteristic and on the part of the boundary characteristic. On the degeneracy segment, a general conjugation condition is specified.</p>

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Combined Problem with Local and Nonlocal Conditions and with General Conjugation Conditions for the Gellerstedt Equation with a Singular Coefficient

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • M. Mirsaburov,
  • B. B. Amonov

摘要

Abstract

In the Tricomi problem, the value of the desired function is specified at all points of the boundary characteristic. In this paper, we study the correctness of the problem where part of the boundary characteristic is freed from the boundary condition and this missing Tricomi condition is replaced by a nonlocal condition with displacement on the internal characteristic and on the part of the boundary characteristic. On the degeneracy segment, a general conjugation condition is specified.