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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| Main Authors: | , , |
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| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2019-06-01
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| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1697 |
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| Summary: | 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. |
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| ISSN: | 1007-2683 |