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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Format: | Article |
Language: | English |
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Universiti Putra Malaysia Press
2011
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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. |
first_indexed | 2024-03-06T07:25:47Z |
format | Article |
id | upm.eprints-12547 |
institution | Universiti Putra Malaysia |
language | English |
last_indexed | 2024-03-06T07:25:47Z |
publishDate | 2011 |
publisher | Universiti Putra Malaysia Press |
record_format | dspace |
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 |
work_keys_str_mv | AT allahabifatehabdoali theexistenceuniquenesstheoremforasystemofdifferentialequationsinthespacesl2r1 AT allahabifatehabdoali existenceuniquenesstheoremforasystemofdifferentialequationsinthespacesl2r1 |