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

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 investi...

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Main Author: Allahabi, Fateh Abdo Ali
Format: Article
Language:English
Published: Universiti Putra Malaysia Press 2011
Online Access:http://psasir.upm.edu.my/id/eprint/12547/1/8._fateh_.pdf
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author Allahabi, Fateh Abdo Ali
author_facet Allahabi, Fateh Abdo Ali
author_sort Allahabi, Fateh Abdo Ali
collection UPM
description 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.
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spelling upm.eprints-125472015-05-27T07:58:45Z http://psasir.upm.edu.my/id/eprint/12547/ The existence-uniqueness theorem for a system of differential equations in the spaces l2r+1 Allahabi, Fateh Abdo Ali 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. Universiti Putra Malaysia Press 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12547/1/8._fateh_.pdf 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 http://einspem.upm.edu.my/journal/volume5.1.php
spellingShingle Allahabi, Fateh Abdo Ali
The existence-uniqueness theorem for a system of differential equations in the spaces l2r+1
title The existence-uniqueness theorem for a system of differential equations in the spaces l2r+1
title_full The existence-uniqueness theorem for a system of differential equations in the spaces l2r+1
title_fullStr The existence-uniqueness theorem for a system of differential equations in the spaces l2r+1
title_full_unstemmed The existence-uniqueness theorem for a system of differential equations in the spaces l2r+1
title_short The existence-uniqueness theorem for a system of differential equations in the spaces l2r+1
title_sort existence uniqueness theorem for a system of differential equations in the spaces l2r 1
url http://psasir.upm.edu.my/id/eprint/12547/1/8._fateh_.pdf
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