Abstract
In this paper, the authors investigate the existence of solutions of impulsive boundary value problems for Sturm-Liouville type differential inclusions which admit non-convex-valued multifunctions on right hand side. Two results under weaker conditions are presented. The methods rely on a fixed point theorem for contraction multi-valued maps due to Covitz and Nadler and Schaefer’s fixed point theorem combined with lower semi-continuous multi-valued operators with decomposable values.
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Liu, Y., Wu, J. & Li, Z. Impulsive Boundary Value Problems for Sturm-Liouville Type Differential Inclusions. Jrl Syst Sci & Complex 20, 370–380 (2007). https://doi.org/10.1007/s11424-007-9032-3
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DOI: https://doi.org/10.1007/s11424-007-9032-3