Buică Adriana: Ulam-Hyers stability and exponentially dichotomic evolution equations in Banach spaces. (2023)
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Abstract
For finite-dimensional linear differential systems with bounded coefficients we prove that their exponential dichotomy on R is equivalent to their Ulam–Hyers stability on R with uniqueness. We also consider abstract non-autonomous evolution equations which are exponentially bounded and exponentially dichotomic and prove that Ulam– Hyers stability with uniqueness is maintained when perturbing them with a nonlinear term having a sufficiently small Lipschitz constant.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2023 |
| Number: | 8 |
| ISSN: | 1417-3875 |
| Pages note: | 10 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2023.1.8 |
| Uncontrolled Keywords: | Banach tér, Evolúciós egyenlet |
| Additional Information: | Bibliogr.: p. 9-10. ; összefoglalás angol nyelven |
| Date Deposited: | 2023. Nov. 16. 10:09 |
| Last Modified: | 2023. Nov. 16. 10:33 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/82258 |
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