An Existence Theorem for Differential Inclusions Using the Kurzweil Integral
We define solutions to the differential inclusion x(t) є F(t,x) in the Kurzweil sense, using the Kurzweil integral of a multifunction, and establish an existence theorem for these inclusions under a semicontinuity condition called Property (Q), and the assumption of integrable-boundedness.
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| Format: | Article |
| Language: | English |
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University of the Philippines
1998-06-01
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| Series: | Science Diliman |
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| Online Access: | http://journals.upd.edu.ph/index.php/sciencediliman/article/view/259 |