On existence solutions and solution sets of differential equations and differential inclusions with delay in Banach spaces
Let CE([−d,0]) (resp. CB(0,T)([−d,0]) be the Banach space of continuous functions from [−d,0] into a Banach space E (resp. into B(0,T)), where B(0,T) = {x ∈ E : ∥x∥ ⩽ T} and let C∈CE([-d,0]). In this paper we prove an existence theorem for the differential equation with delay (P)x·(t)=fd(t,θ¯tx),t∈[...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2012-07-01
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| Series: | Journal of the Egyptian Mathematical Society |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X12000223 |