New insights on weighted pseudo almost periodic solutions in a Lasota–Wazewska system
Abstract We study the weighted pseudo almost periodic solutions of a Lasota–Wazewska system. With the aid of fixed point theory and differential inequality strategies, we give a set of new sufficient criteria that guarantee the existence and global exponential stability of weighted pseudo almost per...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-05-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02651-8 |
| _version_ | 1818242888781266944 |
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| author | Changjin Xu Maoxin Liao Peiluan Li Shuai Yuan |
| author_facet | Changjin Xu Maoxin Liao Peiluan Li Shuai Yuan |
| author_sort | Changjin Xu |
| collection | DOAJ |
| description | Abstract We study the weighted pseudo almost periodic solutions of a Lasota–Wazewska system. With the aid of fixed point theory and differential inequality strategies, we give a set of new sufficient criteria that guarantee the existence and global exponential stability of weighted pseudo almost periodic solutions to a Lasota–Wazewska system. The obtained results of this manuscript are completely innovative and complement the work of Shao (Appl. Math. Lett. 43:90–95, 2015) to some degree. So far, no scholars have investigated this aspect. |
| first_indexed | 2024-12-12T13:52:23Z |
| format | Article |
| id | doaj.art-836915dd0ec44555a1124a7cc2ea8d53 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-12T13:52:23Z |
| publishDate | 2020-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-836915dd0ec44555a1124a7cc2ea8d532022-12-22T00:22:32ZengSpringerOpenAdvances in Difference Equations1687-18472020-05-01202011810.1186/s13662-020-02651-8New insights on weighted pseudo almost periodic solutions in a Lasota–Wazewska systemChangjin Xu0Maoxin Liao1Peiluan Li2Shuai Yuan3Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and EconomicsSchool of Mathematics and Physics, University of South ChinaSchool of Mathematics and Statistics, Henan University of Science and TechnologySchool of Mathematics and Statistics, Central South UniversityAbstract We study the weighted pseudo almost periodic solutions of a Lasota–Wazewska system. With the aid of fixed point theory and differential inequality strategies, we give a set of new sufficient criteria that guarantee the existence and global exponential stability of weighted pseudo almost periodic solutions to a Lasota–Wazewska system. The obtained results of this manuscript are completely innovative and complement the work of Shao (Appl. Math. Lett. 43:90–95, 2015) to some degree. So far, no scholars have investigated this aspect.http://link.springer.com/article/10.1186/s13662-020-02651-8Weighted pseudo almost periodic solutionLasota–Wazewska systemGlobal exponentially stabilityTime delay |
| spellingShingle | Changjin Xu Maoxin Liao Peiluan Li Shuai Yuan New insights on weighted pseudo almost periodic solutions in a Lasota–Wazewska system Advances in Difference Equations Weighted pseudo almost periodic solution Lasota–Wazewska system Global exponentially stability Time delay |
| title | New insights on weighted pseudo almost periodic solutions in a Lasota–Wazewska system |
| title_full | New insights on weighted pseudo almost periodic solutions in a Lasota–Wazewska system |
| title_fullStr | New insights on weighted pseudo almost periodic solutions in a Lasota–Wazewska system |
| title_full_unstemmed | New insights on weighted pseudo almost periodic solutions in a Lasota–Wazewska system |
| title_short | New insights on weighted pseudo almost periodic solutions in a Lasota–Wazewska system |
| title_sort | new insights on weighted pseudo almost periodic solutions in a lasota wazewska system |
| topic | Weighted pseudo almost periodic solution Lasota–Wazewska system Global exponentially stability Time delay |
| url | http://link.springer.com/article/10.1186/s13662-020-02651-8 |
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