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<p>For Volterra integro-differential equations with degeneracy along the time variable t ∈ (0, <i>T</i>) we establish the existence and uniqueness of a regular solution subject to certain conditions at <i>t</i> = 0 and <i>t</i> = <i>T</i> in Sobolev spaces.</p>

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Volterra Type Integro-Differential Equations with Degeneracy

  • 期刊论文

  • 发表日期：

    2025年1月11日

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  • Alexandr I. Kozhanov,
  • Bakhtovar Kh. Barotov

摘要

For Volterra integro-differential equations with degeneracy along the time variable t ∈ (0, T) we establish the existence and uniqueness of a regular solution subject to certain conditions at t = 0 and t = T in Sobolev spaces.