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<p>In this paper the tempered exponential dichotomy concept associated to the random semi-dynamical systems is investigated. The main results lead to construction of Lyapunov functions with both invariant as well as strongly invariant projections. Finally, characterizations as well as open problems that appear in the context of adjoint random semi-dynamical systems are presented.</p>

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Lyapunov Type Criteria for Tempered Exponential Dichotomy of Random Semi-Dynamical Systems

  • 期刊论文

  • 发表日期：

    2026年1月5日

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  • Oana Albescu,
  • Larisa Elena Biriş,
  • Traian Ceauşu,
  • Ioan-Lucian Popa

摘要

In this paper the tempered exponential dichotomy concept associated to the random semi-dynamical systems is investigated. The main results lead to construction of Lyapunov functions with both invariant as well as strongly invariant projections. Finally, characterizations as well as open problems that appear in the context of adjoint random semi-dynamical systems are presented.