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(t,s)-Dichotomy and its Robustness on Banach Spaces

  • Huiyang Zhang [1] ; Weijie Lu [2] ; Lingling Liu [3]
    1. [1] Huanghuai University

      Huanghuai University

      China

    2. [2] Zhejiang Normal University

      Zhejiang Normal University

      China

    3. [3] Southwest Petroleum University

      Southwest Petroleum University

      China

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  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 6, 2025
  • Idioma: inglés
  • Enlaces
  • Resumen

    • The present paper proposes a new concept of λ(t,s)-dichotomy, which includes ordinary dichotomy, exponential dichotomy, algebraic dichotomy and (h, k)-dichotomy, and so on. We establish the robustness of λ(t,s)-dichotomy on Banach spaces by means of a novel dichotomy inequality with λ(t,s) type and other interesting assumptions.

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