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Abstract <p>An initial-boundary value problem for an evolution equation with involution in the spatial variable and a nonlocal boundary condition is studied. The uniqueness of the solution is established, and classes of initial-value functions that ensure its existence and stability are described.</p>

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Correct Solvability of a Mixed Nonlocal Problem for an Evolutional Equation with Involution

  • 期刊论文

  • 发表日期：

    2026年3月22日

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  • L. V. Kritskov,
  • Yu. A. Romanova

摘要

Abstract

An initial-boundary value problem for an evolution equation with involution in the spatial variable and a nonlocal boundary condition is studied. The uniqueness of the solution is established, and classes of initial-value functions that ensure its existence and stability are described.