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On the solution sets to differential inclusions on an unbounded interval

Published online by Cambridge University Press:  20 January 2009

Vasile Staicu
Vasile Staicu
Affiliation:
Department of Mathematics, Aveiro University, 3810–193 Aveiro, Portugal (vasile@mat.ua.pt)
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Abstract

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We prove that for F: [0,∞) × ℝn → K (ℝn) a Lipschitzian multifunction with compact values, the set of derivatives of solutions of the Cauchy problem

is a retract of

Keywords

Lipschitzian differential inclusionsolution setderivatives of solutionsabsolute retract
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 3 , October 2000 , pp. 475 - 484
Copyright
Copyright © Edinburgh Mathematical Society 2000

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