Abstract
A new technique based on Kneser's theorem is introduced, to extend the topological method of Ważewski for Caratheodory systems. In this line an existence theorem for a general boundary value problem is obtained as an application, as well as some asymptotic properties for semi-linear systems.
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Palamides, P.K., Sficas, Y.G. & Staikos, V.A. Ważewski's topological method for Caratheodory systems. Math. Systems Theory 17, 243–261 (1984). https://doi.org/10.1007/BF01744443
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DOI: https://doi.org/10.1007/BF01744443