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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| Дата: | 2024 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2024
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| Онлайн доступ: | 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| _version_ | 1860512655263924224 |
|---|---|
| author | Khemili, Youssef Miraoui, Mohsen Salah, Mounir Ben Khemili, Youssef Miraoui, Mohsen Salah, Mounir Ben |
| author_facet | Khemili, Youssef Miraoui, Mohsen Salah, Mounir Ben Khemili, Youssef Miraoui, Mohsen Salah, Mounir Ben |
| author_sort | Khemili, Youssef |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-06-19T00:35:25Z |
| description | 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. |
| doi_str_mv | 10.3842/umzh.v74i4.7339 |
| first_indexed | 2026-03-24T03:32:14Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7339 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:14Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-73392024-06-19T00:35:25Z Measure pseudoasymptotically Bloch periodic functions in the sense of Stepanov and applications Measure pseudoasymptotically Bloch periodic functions in the sense of Stepanov and applications Khemili, Youssef Miraoui, Mohsen Salah, Mounir Ben Khemili, Youssef Miraoui, Mohsen Salah, Mounir Ben Stepanov-like pseudo-asymptotically Bloch periodic functions; positive measure; nonlinear differential equation; fixed point theorem. 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. УДК 517.9 Міри псевдоасимптотичних блохівських періодичних функцій у сенсі Степанова та їх застосування Нашу увагу зосереджено на мірах степановської псевдоасимптотичної блохівської $\tau$-періодичності та її застосуваннях. Спочатку визначено нове поняття міри степановських псевдоасимптотично періодичних функцій Блоха та встановлено деякі їхні фундаментальні властивості. Потім отримані результати застосовано до дослідження існування та єдиності мір псевдоасимптотично блохівських періодичних м’яких розв’язків типу Степанова напівлінійного диференціального рівняння із запізненням у банахових просторах. Насамкінець наведено застосування, яке ілюструє ефективність отриманих результатів. Institute of Mathematics, NAS of Ukraine 2024-04-26 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7339 10.3842/umzh.v74i4.7339 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 4 (2024); 552 - 567 Український математичний журнал; Том 76 № 4 (2024); 552 - 567 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7339/9916 Copyright (c) 2024 Mohsen Miraoui |
| spellingShingle | Khemili, Youssef Miraoui, Mohsen Salah, Mounir Ben Khemili, Youssef Miraoui, Mohsen Salah, Mounir Ben Measure pseudoasymptotically Bloch periodic functions in the sense of Stepanov and applications |
| title | Measure pseudoasymptotically Bloch periodic functions in the sense of Stepanov and applications |
| title_alt | Measure pseudoasymptotically Bloch periodic functions in the sense of Stepanov and applications |
| title_full | Measure pseudoasymptotically Bloch periodic functions in the sense of Stepanov and applications |
| title_fullStr | Measure pseudoasymptotically Bloch periodic functions in the sense of Stepanov and applications |
| title_full_unstemmed | Measure pseudoasymptotically Bloch periodic functions in the sense of Stepanov and applications |
| title_short | Measure pseudoasymptotically Bloch periodic functions in the sense of Stepanov and applications |
| title_sort | measure pseudoasymptotically bloch periodic functions in the sense of stepanov and applications |
| topic_facet | Stepanov-like pseudo-asymptotically Bloch periodic functions positive measure nonlinear differential equation fixed point theorem. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7339 |
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