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<p>We&#xa0;prove existence and uniqueness theorems for regular solutions to an&#xa0;initial-boundary value problem for degenerate pseudoparabolic equations of the third order.The&#xa0;nature of degeneration in the equations under study is determined by the fact that the leading operator coefficient can be a&#xa0;noninvertible operator.</p>

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Degenerate Pseudoparabolic Equations of the Third Order

  • 期刊论文

  • 发表日期：

    2026年7月30日

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  • A. I. Kozhanov,
  • B. V. Zhigzhitzhapov

摘要

We prove existence and uniqueness theorems for regular solutions to an initial-boundary value problem for degenerate pseudoparabolic equations of the third order.The nature of degeneration in the equations under study is determined by the fact that the leading operator coefficient can be a noninvertible operator.