Abstract
This paper proves a Filippov type existence theorem for solutions of a boundary value problem for a Sturm-Liouville type differential inclusion defined by a nonconvex set-valued map. The method consists in application of the contraction principle in the space of selections of the set-valued map instead of the space of solutions.
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Cernea, A. On a boundary value problem for a Sturm-Liouville type differential inclusion. J Syst Sci Complex 23, 390–394 (2010). https://doi.org/10.1007/s11424-010-8017-9
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DOI: https://doi.org/10.1007/s11424-010-8017-9