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Relaxation Problems Involving Second‐Order Differential Inclusions

Adel Mahmoud Gomaa

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We present relaxation problems in control theory for the second‐order differential inclusions, with four boundary conditions, u¨(t)∈F(t,u(t),u˙(t)) a.e. on [0,1]; u(0) = 0, u(η) = u(θ) = u(1) and, with m ≥ 3 boundary conditions, u¨(t)∈F(t,u(t),u˙(t)) a.e. on [0,1001]; u˙()=, u()=∑i=1m-2 aiu(ξi), where 0

Date: 2013
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https://doi.org/10.1155/2013/792431

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