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Relaxation Problems Involving Second‐Order Differential Inclusions

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  • Adel Mahmoud Gomaa

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

Suggested Citation

  • Adel Mahmoud Gomaa, 2013. "Relaxation Problems Involving Second‐Order Differential Inclusions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:792431
    DOI: 10.1155/2013/792431
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    References listed on IDEAS

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    1. Nikolaos S. Papageorgiou, 1987. "Convergence theorems for Banach space valued integrable multifunctions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 10, pages 1-10, January.
    2. Ibrahim, A.G. & Gomaa, A.M., 1999. "Topological properties of the solution sets of some differential inclusions," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 10(2), pages 197-223.
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