Pseudo almost periodic solutions in the alpha-norm and Stepanov's sense for some evolution equations
UDC 517.9 Our aim is to present the concept of double-measure ergodic and double-measure pseudo almost periodic functions  in Stepanov's sense.  In addition, we present numerous interesting results, such as the composition theorems and completene...
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| Date: | 2022 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2022
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/6315 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.9
Our aim is to present the concept of double-measure ergodic and double-measure pseudo almost periodic functions  in Stepanov's sense.  In addition, we present numerous interesting results, such as the composition theorems and completeness properties for these two  spaces of the considered functions.  We also establish the  existence and  uniqueness for the  double-measure pseudo almost periodic mild solutions  in Stepanov's sense for some evolution equations. |
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| DOI: | 10.37863/umzh.v74i10.6315 |