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Existence results for impulsive functional and neutral functional differential inclusions with lower semicontinuous right hand side. (English) Zbl 1007.34076

Summary: Here, Schaefer’s fixed-point theorem combined with a selection theorem due to Bressan and Colombo is used to investigate the existence of solutions to first- and second-order impulsive functional and neutral differential inclusions with lower semicontinuous and nonconvex-valued right-hand side.

MSC:

34K45 Functional-differential equations with impulses
34K40 Neutral functional-differential equations
34A37 Ordinary differential equations with impulses
34A60 Ordinary differential inclusions
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