Equivalence between distributional differential equations and periodic problems with state-dependent impulses
The paper points out a relation between the distributional differential equation of the second order and the periodic problem for differential equations with state-dependent impulses. The relation between these two problems is investigated and consequently the lower and upper functions method is ext...
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| Published in: | Electronic journal of qualitative theory of differential equations Vol. 2018; no. 2; pp. 1 - 22 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
University of Szeged
2018
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | The paper points out a relation between the distributional differential equation of the second order and the periodic problem for differential equations with state-dependent impulses. The relation between these two problems is investigated and consequently the lower and upper functions method is extended to distributional differential equations. This enabled to get new existence results both for distributional equations and for non-autonomous periodic problems with state-dependent impulses. |
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| ISSN: | 1417-3875 1417-3875 |
| DOI: | 10.14232/ejqtde.2018.1.2 |