The Existence-Uniqueness Theorem for a System of Differential Equations in the Spaces l2r+1

Abdo Ali Allahabi, Fateh (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 2 r 1 l + . The proved theorem enables us to investigate some optimal control and differential game problems described by such a system.

Item Type:Article
Keyword:Differential equation, infinite system, solution, Hilbert space
Faculty or Institute:Institute for Mathematical Research
Publisher:UPM Press
ID Code:12547
Deposited By: Najwani Amir Sariffudin
Deposited On:01 Jun 2011 08:58
Last Modified:27 May 2013 07:52

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