Hyers-Ulam stability for finite-dimensional nonautonomous dynamics
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910291241992192 |
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| author | Dragičević, Davor |
| author_facet | Dragičević, Davor |
| contents | The main purpose of this paper is to obtain necessary and sufficient conditions under which a nonautonomous, finite-dimensional and two-sided dynamics generated by a sequence of matrices or a linear ODE exhibits Hyers-Ulam stability. Specifically, in the case of discrete time we consider a nonautonomous difference equation with possibly noninvertible coefficients, while in the case of continuous time we deal with a nonautonomous ordinary differential equation without any bounded growth assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04516 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hyers-Ulam stability for finite-dimensional nonautonomous dynamics Dragičević, Davor Classical Analysis and ODEs The main purpose of this paper is to obtain necessary and sufficient conditions under which a nonautonomous, finite-dimensional and two-sided dynamics generated by a sequence of matrices or a linear ODE exhibits Hyers-Ulam stability. Specifically, in the case of discrete time we consider a nonautonomous difference equation with possibly noninvertible coefficients, while in the case of continuous time we deal with a nonautonomous ordinary differential equation without any bounded growth assumptions. |
| title | Hyers-Ulam stability for finite-dimensional nonautonomous dynamics |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2401.04516 |