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<p>In this work we consider invariant measures for neutral type stochastic delay evolution equations in Hilbert space. We derive the conditions for the existence and uniqueness of invariant measure for neutral type stochastic delay evolution equation. The limiting behavior of invariant measures is also investigated in the asymptotic limit, as the length of delay interval tends to zero.</p>

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Invariant measures and their limiting behavior for neutral type stochastic delay equations in Hilbert space

  • 期刊论文

  • 发表日期：

    2026年6月15日

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  • Oleksandr Stanzhytskyi,
  • Oleksandr Pravdyvyi,
  • Oleksiy Kapustyan,
  • Fahreddin G. Abdullayev

摘要

In this work we consider invariant measures for neutral type stochastic delay evolution equations in Hilbert space. We derive the conditions for the existence and uniqueness of invariant measure for neutral type stochastic delay evolution equation. The limiting behavior of invariant measures is also investigated in the asymptotic limit, as the length of delay interval tends to zero.