An Existence Theorem for Differential Inclusions Using the Kurzweil Integral
Abstract
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.
Published
2007-09-19
How to Cite
MACANSANTOS, Priscilla Supnet.
An Existence Theorem for Differential Inclusions Using the Kurzweil Integral.
Science Diliman: A Journal of Pure and Applied Sciences, [S.l.], v. 10, n. 1, sep. 2007.
ISSN 2012-0818.
Available at: <https://journals.upd.edu.ph/index.php/sciencediliman/article/view/259>. Date accessed: 02 sep. 2025.
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