On the stability of first order impulsive evolution equations
| creativeworkseries.issn | 1232-9274 | |
| dc.contributor.author | Wang, JinRong | |
| dc.contributor.author | Fečkan, Michal | |
| dc.contributor.author | Zhou, Yong | |
| dc.date.available | 2017-10-03T08:58:01Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | In this paper, concepts of Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for impulsive evolution equations are raised. Ulam-Hyers-Rassias stability results on a compact interval and an unbounded interval are presented by using an impulsive integral inequality of the Gronwall type. Two examples are also provided to illustrate our results. Finally, some extensions of the Ulam-Hyers-Rassias stability for the case with infinite impulses are given. | en |
| dc.description.version | wersja wydawnicza | |
| dc.identifier.doi | https://doi.org/10.7494/OpMath.2014.34.3.639 | |
| dc.identifier.eissn | 2300-6919 | |
| dc.identifier.issn | 1232-9274 | |
| dc.identifier.nukat | dd2015312026 | |
| dc.identifier.uri | https://repo.agh.edu.pl/handle/AGH/50466 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Opuscula Mathematica | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.access | otwarty dostęp | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/legalcode | |
| dc.subject | first order | en |
| dc.subject | impulsive evolution equations | en |
| dc.subject | Ulam-Hyers-Rassias stability | en |
| dc.title | On the stability of first order impulsive evolution equations | en |
| dc.title.related | Opuscula Mathematica | |
| dc.type | artykuł | |
| dspace.entity.type | Publication | |
| publicationissue.issueNumber | No. 3 | |
| publicationissue.pagination | pp. 639-657 | |
| publicationvolume.volumeNumber | Vol. 34 | |
| relation.isJournalIssueOfPublication | b41f3dc5-31e4-4558-850b-ab459436365f | |
| relation.isJournalIssueOfPublication.latestForDiscovery | b41f3dc5-31e4-4558-850b-ab459436365f | |
| relation.isJournalOfPublication | 304b3b9b-59b9-4830-9178-93a77e6afbc7 |
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