Almost Periodic Solutions on a Class Secondorder Differential Equations with Piecewise Constant Argument
Almost periodic solutions of differential equations are more general than periodic solutions, so almost periodic solutions will be studied on a class secondorder differential equations with piecewise constant argument. A class of nonhomogeneous difference equations are constructed by the continuit...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2019-06-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1697 |
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| _version_ | 1849388462800633856 |
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| author | YAO Hui-li ZHANG Yue-jiao HOU Sheng-nan |
| author_facet | YAO Hui-li ZHANG Yue-jiao HOU Sheng-nan |
| author_sort | YAO Hui-li |
| collection | DOAJ |
| description | Almost periodic solutions of differential equations are more general than periodic solutions, so almost periodic solutions will be studied on a class secondorder differential equations with piecewise constant argument. A class of nonhomogeneous difference equations are constructed by the continuity of solutions at the integer point of this class of equations. The existence of almost periodic solutions and the uniqueness of this kind of solutions on this class of equations are investigated by using of eigenvalue of corresponding homogeneous difference equations, almost periodic sequence solutions of relevant difference equations and some properties of almost periodic functions and almost periodic sequences. |
| format | Article |
| id | doaj-art-e1ed3db0f7e747b9b5e7e0db6ac31aa0 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2019-06-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-e1ed3db0f7e747b9b5e7e0db6ac31aa02025-08-20T03:42:18ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832019-06-01240314314810.15938/j.jhust.2019.03.024Almost Periodic Solutions on a Class Secondorder Differential Equations with Piecewise Constant ArgumentYAO Hui-li0ZHANG Yue-jiao1HOU Sheng-nan2School of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, ChinaAlmost periodic solutions of differential equations are more general than periodic solutions, so almost periodic solutions will be studied on a class secondorder differential equations with piecewise constant argument. A class of nonhomogeneous difference equations are constructed by the continuity of solutions at the integer point of this class of equations. The existence of almost periodic solutions and the uniqueness of this kind of solutions on this class of equations are investigated by using of eigenvalue of corresponding homogeneous difference equations, almost periodic sequence solutions of relevant difference equations and some properties of almost periodic functions and almost periodic sequences.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1697almost periodic solutionsalmost periodic sequence solutionsdifferential equationsdifference equationspiecewise constant argument |
| spellingShingle | YAO Hui-li ZHANG Yue-jiao HOU Sheng-nan Almost Periodic Solutions on a Class Secondorder Differential Equations with Piecewise Constant Argument Journal of Harbin University of Science and Technology almost periodic solutions almost periodic sequence solutions differential equations difference equations piecewise constant argument |
| title | Almost Periodic Solutions on a Class Secondorder Differential Equations with Piecewise Constant Argument |
| title_full | Almost Periodic Solutions on a Class Secondorder Differential Equations with Piecewise Constant Argument |
| title_fullStr | Almost Periodic Solutions on a Class Secondorder Differential Equations with Piecewise Constant Argument |
| title_full_unstemmed | Almost Periodic Solutions on a Class Secondorder Differential Equations with Piecewise Constant Argument |
| title_short | Almost Periodic Solutions on a Class Secondorder Differential Equations with Piecewise Constant Argument |
| title_sort | almost periodic solutions on a class secondorder differential equations with piecewise constant argument |
| topic | almost periodic solutions almost periodic sequence solutions differential equations difference equations piecewise constant argument |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1697 |
| work_keys_str_mv | AT yaohuili almostperiodicsolutionsonaclasssecondorderdifferentialequationswithpiecewiseconstantargument AT zhangyuejiao almostperiodicsolutionsonaclasssecondorderdifferentialequationswithpiecewiseconstantargument AT houshengnan almostperiodicsolutionsonaclasssecondorderdifferentialequationswithpiecewiseconstantargument |