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<p>In this paper, we introduce the convolution of the imaginary Lebedev-Skalskaya transform. The Parseval equality and the factorization equality for the imaginary Lebedev-Skalskaya convolution are established. Basing on the structure of this convolution, a class of integro-differential operators of Ritt’s type associated with the imaginary Lebedev-Skalskaya convolution is considered. As applications, some classes of related integro-differential equations are also considered.</p>

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ON THE INTEGRO-DIFFERENTIAL OPERATORS OF RITT’S TYPE ASSOCIATED WITH THE IMAGINARY LEBEDEV-SKALSKAYA CONVOLUTION

  • 期刊论文

  • 发表日期：

    2025年4月29日

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  • Le Xuan Doan,
  • Pham Van Hoang

摘要

In this paper, we introduce the convolution of the imaginary Lebedev-Skalskaya transform. The Parseval equality and the factorization equality for the imaginary Lebedev-Skalskaya convolution are established. Basing on the structure of this convolution, a class of integro-differential operators of Ritt’s type associated with the imaginary Lebedev-Skalskaya convolution is considered. As applications, some classes of related integro-differential equations are also considered.