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<p>Our main goal is to prove that every invertible generalized hyperbolic operator on a Banach space has a stability property, known as time-dependent stability, which was introduced by J. M. Franks (Invent. Math. <b>24</b> (1974), 163–172) and is stronger than structural stability.</p>

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On the stability of generalized hyperbolic operators

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月8日

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  • Nilson C. Bernardes Jr.

摘要

Our main goal is to prove that every invertible generalized hyperbolic operator on a Banach space has a stability property, known as time-dependent stability, which was introduced by J. M. Franks (Invent. Math. 24 (1974), 163–172) and is stronger than structural stability.