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Boundary value problems for semi-continuous delayed differential inclusions on Riemannian manifolds |
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| Institution: | 1. Faculty of Urban Innovation, Yokohama National University, 79-5 Tokiwadai Hodogaya, Yokohama 2220011, Japan;2. Yachiyo Engineering Co., Ltd, 5-20-8 Asakusabashi Taito-ku, Tokyo 1118648, Japan;1. Faculty of Mines, Universidad Nacional de Colombia, Cl. 80 # 65-223, Medellín, Colombia |
| Abstract: | The existence of solutions to nonlinear second order boundary value problems for differential inclusions with time lags is investigated. The set-valued mappings generating the differential inclusions are semi-continuous with compact and convex values. It turns out that solutions exist for small time intervals and arbitrary time lags in the state variable. The proof relies on mapping degree methods. |
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