Almost periodic solutions for Abel equations
Using the Liapunov function method, the existence of almost periodic solutions of a scalar differential equation is discussed The results for the scalar differential equation are then applied to prove the existence and stability of almost periodic solutions of Abel differential equations We obtain s...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000999 |
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| _version_ | 1832550150283722752 |
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| author | Zeng Weiyao Shi Jinlin Lin Zhensheng Lokenath Debnath |
| author_facet | Zeng Weiyao Shi Jinlin Lin Zhensheng Lokenath Debnath |
| author_sort | Zeng Weiyao |
| collection | DOAJ |
| description | Using the Liapunov function method, the existence of almost periodic solutions of a
scalar differential equation is discussed The results for the scalar differential equation are then applied to
prove the existence and stability of almost periodic solutions of Abel differential equations We obtain
several interesting results which improve the results due to Chongyou [1] and Dongpin [2]. |
| format | Article |
| id | doaj-art-8340601a59b048569c47d3a8bf79d9be |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8340601a59b048569c47d3a8bf79d9be2025-02-03T06:07:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120472773510.1155/S0161171297000999Almost periodic solutions for Abel equationsZeng Weiyao0Shi Jinlin1Lin ZhenshengLokenath Debnath2Department of Mathematics, Changsha Railway University, Hunan, Changsha 410075, ChinaDepartment of Mathematics, Fuzhou University, Fujian, Fuzhou 350002, ChinaDepartment of Mathematics, University of Central Florida, Orlando 32816, FL, USAUsing the Liapunov function method, the existence of almost periodic solutions of a scalar differential equation is discussed The results for the scalar differential equation are then applied to prove the existence and stability of almost periodic solutions of Abel differential equations We obtain several interesting results which improve the results due to Chongyou [1] and Dongpin [2].http://dx.doi.org/10.1155/S0161171297000999Abel differential equationsalmost periodic solutions. |
| spellingShingle | Zeng Weiyao Shi Jinlin Lin Zhensheng Lokenath Debnath Almost periodic solutions for Abel equations International Journal of Mathematics and Mathematical Sciences Abel differential equations almost periodic solutions. |
| title | Almost periodic solutions for Abel equations |
| title_full | Almost periodic solutions for Abel equations |
| title_fullStr | Almost periodic solutions for Abel equations |
| title_full_unstemmed | Almost periodic solutions for Abel equations |
| title_short | Almost periodic solutions for Abel equations |
| title_sort | almost periodic solutions for abel equations |
| topic | Abel differential equations almost periodic solutions. |
| url | http://dx.doi.org/10.1155/S0161171297000999 |
| work_keys_str_mv | AT zengweiyao almostperiodicsolutionsforabelequations AT shijinlin almostperiodicsolutionsforabelequations AT linzhensheng almostperiodicsolutionsforabelequations AT lokenathdebnath almostperiodicsolutionsforabelequations |