The method of upper and lower solutions for Caratheodory n-th order differential inclusions
In this paper, we prove an existence theorem for n-th order differential inclusions under Caratheodory conditions. The existence of extremal solutions is also obtained under certain monotonicity condition of the multi-function.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2004-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/08/abstr.html |
| Summary: | In this paper, we prove an existence theorem for n-th order differential inclusions under Caratheodory conditions. The existence of extremal solutions is also obtained under certain monotonicity condition of the multi-function. |
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| ISSN: | 1072-6691 |