On Maximal and Minimal Solutions for Set‐Valued Differential Equations with Feedback Control

Ngo Van Hoa and Nguyen Dinh Phu

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: In this paper, we present the existence of extremal solutions of set‐valued differential equations with feedback control on semilinear Hausdorff space under Hukuhara derivative which is developed under the form DHX(t) = F(t, X(t), H(t, X(t))), X(0) = X0, for all t ∈ [0, T] with the monotone iterative technique and we will verify that monotone sequence of approximate solutions converging uniformly to the solution of the problem, that is useful for optimization problems.

Date: 2012
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https://doi.org/10.1155/2012/816218

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:816218

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