Existence of a unique solution of an infinite three-coupled system model of ordinary differential equations in Hilbert space
Numerous practical problems are often formulated as control problems modeled by partial differential equations (PDE). The spectral decomposition method often transforms such problems into an equivalent control problem modeled by an infinite system of ordinary differential equations (ODE). We examine...
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| Format: | Article |
| Language: | English |
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Universiti Putra Malaysia
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/119119/ http://psasir.upm.edu.my/id/eprint/119119/1/119119.pdf |
| _version_ | 1848867878716047360 |
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| author | Mat Hasim, Risman Samson, Odiliobi Chika Gafurjan, Ibragimov |
| author_facet | Mat Hasim, Risman Samson, Odiliobi Chika Gafurjan, Ibragimov |
| author_sort | Mat Hasim, Risman |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Numerous practical problems are often formulated as control problems modeled by partial differential equations (PDE). The spectral decomposition method often transforms such problems into an equivalent control problem modeled by an infinite system of ordinary differential equations (ODE). We examine a solution to an infinite system of three-coupled ODE in the Hilbert space, ℓ2. The existence and uniqueness of the solution to the given infinite system in the Hilbert space ℓ2 are proved as our main research findings. Our findings imply that control and differential games modeled by this infinite system of three-coupled ODE can now be investigated. |
| first_indexed | 2025-11-15T14:43:30Z |
| format | Article |
| id | upm-119119 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:43:30Z |
| publishDate | 2024 |
| publisher | Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1191192025-09-11T07:45:54Z http://psasir.upm.edu.my/id/eprint/119119/ Existence of a unique solution of an infinite three-coupled system model of ordinary differential equations in Hilbert space Mat Hasim, Risman Samson, Odiliobi Chika Gafurjan, Ibragimov Numerous practical problems are often formulated as control problems modeled by partial differential equations (PDE). The spectral decomposition method often transforms such problems into an equivalent control problem modeled by an infinite system of ordinary differential equations (ODE). We examine a solution to an infinite system of three-coupled ODE in the Hilbert space, ℓ2. The existence and uniqueness of the solution to the given infinite system in the Hilbert space ℓ2 are proved as our main research findings. Our findings imply that control and differential games modeled by this infinite system of three-coupled ODE can now be investigated. Universiti Putra Malaysia 2024 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/119119/1/119119.pdf Mat Hasim, Risman and Samson, Odiliobi Chika and Gafurjan, Ibragimov (2024) Existence of a unique solution of an infinite three-coupled system model of ordinary differential equations in Hilbert space. Menemui Matematik, 46 (1). pp. 17-28. ISSN 2231-7023 https://myjms.mohe.gov.my/index.php/dismath/article/view/26951 , https://myjms.mohe.gov.my/index.php/dismath/ |
| spellingShingle | Mat Hasim, Risman Samson, Odiliobi Chika Gafurjan, Ibragimov Existence of a unique solution of an infinite three-coupled system model of ordinary differential equations in Hilbert space |
| title | Existence of a unique solution of an infinite three-coupled system model of ordinary differential equations in Hilbert space |
| title_full | Existence of a unique solution of an infinite three-coupled system model of ordinary differential equations in Hilbert space |
| title_fullStr | Existence of a unique solution of an infinite three-coupled system model of ordinary differential equations in Hilbert space |
| title_full_unstemmed | Existence of a unique solution of an infinite three-coupled system model of ordinary differential equations in Hilbert space |
| title_short | Existence of a unique solution of an infinite three-coupled system model of ordinary differential equations in Hilbert space |
| title_sort | existence of a unique solution of an infinite three-coupled system model of ordinary differential equations in hilbert space |
| url | http://psasir.upm.edu.my/id/eprint/119119/ http://psasir.upm.edu.my/id/eprint/119119/ http://psasir.upm.edu.my/id/eprint/119119/1/119119.pdf |