Necessary and sufficient conditions for weak exponential instability of evolution operators
Nicolae Lupa
TL;DR
This paper characterizes weak exponential instability of evolution operators, providing necessary and sufficient conditions and extending classical results by Datko and Lyapunov.
Contribution
It introduces new necessary and sufficient criteria for weak exponential instability, expanding on classical stability results.
Findings
Derived necessary and sufficient conditions for weak exponential instability.
Extended classical results by Datko and Lyapunov.
Provided variants of existing stability theorems.
Abstract
In this paper we give some necessary and sufficient characterizations for weak exponential instability of evolution operators. Variants for the classical results due to Datko and Lyapunov are obtained.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsStability and Controllability of Differential Equations · Advanced Mathematical Physics Problems · Nonlinear Differential Equations Analysis