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<p>In this paper, we examine a mixed problem for an equation with an involutive deviation in the argument and periodic boundary conditions. Using the Fourier method, we obtain a classical solution to the problem with minimal requirements for the initial data of the problem. Also, we used some methods of improving the convergence of the series representing a formal solution.</p>

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ON ONE MIXED PROBLEM WITH INVOLUTION

  • 期刊论文

  • 发表日期：

    2026年8月4日

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  • D. V. Belova

摘要

In this paper, we examine a mixed problem for an equation with an involutive deviation in the argument and periodic boundary conditions. Using the Fourier method, we obtain a classical solution to the problem with minimal requirements for the initial data of the problem. Also, we used some methods of improving the convergence of the series representing a formal solution.