Measure pseudoasymptotically Bloch periodic functions in the sense of Stepanov and applications
UDC 517.9 We focus on the measures of Stepanov-like pseudoasymptotically Bloch $\tau$-periodicity and its applications. First, we define a new notion of measures of Stepanov-like pseudoasymptotically Bloch periodic functions and diccuss some  of it...
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| Datum: | 2024 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2024
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7339 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.9
We focus on the measures of Stepanov-like pseudoasymptotically Bloch $\tau$-periodicity and its applications. First, we define a new notion of measures of Stepanov-like pseudoasymptotically Bloch periodic functions and diccuss some  of its fundamental properties. Then the obtained results are applied to investigate the existence and uniqueness of the measure  Stepanov-like pseudoasymptotically Bloch periodic mild solutions to semilinear delay differential equation in Banach spaces. Finally, an application is presented to illustrate the efficiency of the results. |
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| DOI: | 10.3842/umzh.v74i4.7339 |