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The existence-uniqueness theorem for a system of differential equations in the spaces l2r+1

Allahabi, Fateh Abdo Ali (2011) The existence-uniqueness theorem for a system of differential equations in the spaces l2r+1. Malaysian Journal of Mathematical Sciences, 5 (1). pp. 111-123. ISSN 1823-8343

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Abstract

We study an infinite system of differential equations of the second order. Some special cases of the system result from application of the decomposition method to some hyperbolic equations. We discuss the existence and uniqueness questions in the space l2r+1. The proved theorem enables us to investigate some optimal control and differential game problems described by such a system.

Item Type: Article
Divisions: Faculty of Science
Publisher: Universiti Putra Malaysia Press
Keywords: Differential equation; Infinite system; Solution; Hilbert space
Depositing User: Najwani Amir Sariffudin
Date Deposited: 01 Jun 2011 16:58
Last Modified: 27 May 2015 15:58
URI: http://psasir.upm.edu.my/id/eprint/12547

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