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<p><i>We study the solvability of boundary value problems for integro-differential equations with time-dependent coefficients, where one coefficient can vanish. The equations involve an integral term with a variable kernel and include the Laplace operator acting on spatial variables. Theorems on the existence and uniqueness of regular solutions are established. Bibliography: 3 titles.</i></p>

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SOLVABILITY OF SOME INTEGRO-DIFFERENTIAL EQUATIONS WITH DEGENERATION

  • 期刊论文

  • 发表日期：

    2026年5月26日

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  • B. Kh. Barotov

摘要

We study the solvability of boundary value problems for integro-differential equations with time-dependent coefficients, where one coefficient can vanish. The equations involve an integral term with a variable kernel and include the Laplace operator acting on spatial variables. Theorems on the existence and uniqueness of regular solutions are established. Bibliography: 3 titles.