Dichotomous solutions of linear impulsive differential equations
The notion of Lp(h,k) solutions of linear impulsive differential equations in Banach spaces is introduced. Sufficient conditions for existence of such solutions are derived. Possible applications to linear control systems with impulses are considered. An illustrative example is given.
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| Veröffentlicht in: | Mathematical methods in the applied sciences 2018-03, Vol.41 (5), p.1753-1760 |
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| container_issue | 5 |
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| container_title | Mathematical methods in the applied sciences |
| container_volume | 41 |
| creator | Atanasova, Pavlina Georgieva, Atanaska Konstantinov, Mihail |
| description | The notion of Lp(h,k) solutions of linear impulsive differential equations in Banach spaces is introduced. Sufficient conditions for existence of such solutions are derived. Possible applications to linear control systems with impulses are considered. An illustrative example is given. |
| doi_str_mv | 10.1002/mma.4701 |
| format | Article |
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| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Banach spaces control systems with impulses Differential equations differential equations in Banach spaces Linear control linear impulsive differential equations Lp(h,k) solutions Mathematical analysis |
| title | Dichotomous solutions of linear impulsive differential equations |
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