Measure ω,c-Pseudo-Almost Periodic Functions and Lasota-Wazewska Model with Ergodic and Unbounded Oscillating Oxygen Demand
The primary aim of this work is to introduce a new class of functions called μ-ω,c-pseudo-almost periodic functions. Using the measure theory, we generalize in a natural way some recent works and study some properties of those μ-ω,c-pseudo-almost periodic functions including two new composition resu...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2022/9558928 |
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| _version_ | 1849738457822265344 |
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| author | James Larrouy Gaston M. N’Guérékata |
| author_facet | James Larrouy Gaston M. N’Guérékata |
| author_sort | James Larrouy |
| collection | DOAJ |
| description | The primary aim of this work is to introduce a new class of functions called μ-ω,c-pseudo-almost periodic functions. Using the measure theory, we generalize in a natural way some recent works and study some properties of those μ-ω,c-pseudo-almost periodic functions including two new composition results which play a crucial role for the existence of some μ-ω,c-pseudo-almost periodic solutions of certain semilinear differential equations and partial differential equations. We also investigate the existence and uniqueness of the μ-ω,c-pseudo-almost periodic solutions for some models of Lasota-Wazewska equation with measure ω,c-pseudo-almost periodic coefficient and mixed delays. |
| format | Article |
| id | doaj-art-f6ce6f04288a40e98cddccd2cd2db97f |
| institution | DOAJ |
| issn | 1687-0409 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f6ce6f04288a40e98cddccd2cd2db97f2025-08-20T03:06:35ZengWileyAbstract and Applied Analysis1687-04092022-01-01202210.1155/2022/9558928Measure ω,c-Pseudo-Almost Periodic Functions and Lasota-Wazewska Model with Ergodic and Unbounded Oscillating Oxygen DemandJames Larrouy0Gaston M. N’Guérékata1Department of MathematicsNEERLabThe primary aim of this work is to introduce a new class of functions called μ-ω,c-pseudo-almost periodic functions. Using the measure theory, we generalize in a natural way some recent works and study some properties of those μ-ω,c-pseudo-almost periodic functions including two new composition results which play a crucial role for the existence of some μ-ω,c-pseudo-almost periodic solutions of certain semilinear differential equations and partial differential equations. We also investigate the existence and uniqueness of the μ-ω,c-pseudo-almost periodic solutions for some models of Lasota-Wazewska equation with measure ω,c-pseudo-almost periodic coefficient and mixed delays.http://dx.doi.org/10.1155/2022/9558928 |
| spellingShingle | James Larrouy Gaston M. N’Guérékata Measure ω,c-Pseudo-Almost Periodic Functions and Lasota-Wazewska Model with Ergodic and Unbounded Oscillating Oxygen Demand Abstract and Applied Analysis |
| title | Measure ω,c-Pseudo-Almost Periodic Functions and Lasota-Wazewska Model with Ergodic and Unbounded Oscillating Oxygen Demand |
| title_full | Measure ω,c-Pseudo-Almost Periodic Functions and Lasota-Wazewska Model with Ergodic and Unbounded Oscillating Oxygen Demand |
| title_fullStr | Measure ω,c-Pseudo-Almost Periodic Functions and Lasota-Wazewska Model with Ergodic and Unbounded Oscillating Oxygen Demand |
| title_full_unstemmed | Measure ω,c-Pseudo-Almost Periodic Functions and Lasota-Wazewska Model with Ergodic and Unbounded Oscillating Oxygen Demand |
| title_short | Measure ω,c-Pseudo-Almost Periodic Functions and Lasota-Wazewska Model with Ergodic and Unbounded Oscillating Oxygen Demand |
| title_sort | measure ω c pseudo almost periodic functions and lasota wazewska model with ergodic and unbounded oscillating oxygen demand |
| url | http://dx.doi.org/10.1155/2022/9558928 |
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