Shadowing properties of evolution equations with exponential trichotomy on Banach spaces

In this article we investigate the shadowing properties of the semilinear non-autonomous evolution equation $$ u'(t) = A(t)u(t) + f(t, u(t)), \quad t\geq 0 $$ on a Banach space $X$. Here the linear operator $A(t) : D(A(t)) \subset X \to X$ may not be bounded, and the homogeneous equation $u...

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Bibliographic Details
Main Authors: Kun Tu, Hui-Sheng Ding
Format: Article
Language:English
Published: Texas State University 2025-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2025/73/abstr.html
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