Abstract
We prove that almost all continuous multifunctions are Lipschitz continuous with respect to a Kamke function. We obtain as a corollary that almost every differential inclusion with continuous right-hand side satisfies the relaxation property.
We point out also the possible applications in Bolza problem, given for differential inclusions.
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© 2005 Springer-Verlag Berlin Heidelberg
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Donchev, T. (2005). Generic Properties of Differential Inclusions and Control Problems. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_31
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DOI: https://doi.org/10.1007/978-3-540-31852-1_31
Publisher Name: Springer, Berlin, Heidelberg
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