| dc.contributor.author | Muhammad Arif Syazani, Mohd Yazid | |
| dc.contributor.author | Gafurjan Ibragimov | |
| dc.contributor | Department of Mathematics and Statistics, Universiti Putra Malaysia, Serdang, Selangor, Malaysia | en_US |
| dc.contributor | University of Digital Economics and Agrotechnologies, Tashkent, Uzbekistan | en_US |
| dc.creator | Idham Arif, Alias | |
| dc.date.accessioned | 2023-08-16T07:32:51Z | |
| dc.date.available | 2023-08-16T07:32:51Z | |
| dc.date.issued | 2023-04 | |
| dc.identifier.citation | Applied Mathematics and Computational Intelligence (AMCI), vol.12(1), 2023, pages 87–100 | en_US |
| dc.identifier.issn | 2289-1315 (print) | |
| dc.identifier.issn | 2289-1323 (online) | |
| dc.identifier.uri | http://dspace.unimap.edu.my:80/xmlui/handle/123456789/79083 | |
| dc.description | Link to publisher's homepage at https://amci.unimap.edu.my/ | en_US |
| dc.description.abstract | This work is to solve an infinite 2-system model of first order ordinary differential equations. The
system is in Hilbert space l2 with the coefficients are any positive real numbers. The system is
rewritten as a system in the form of matrix equations and it is first studied in ℝ2 where its solution
is obtained and a fundamental matrix is constructed. The results are carried out to solve the infinite
2-system in Hilbert space l2
. The control functions satisfy integral constraint and are elements of
the space of square integrable function in l2
. The existence and uniqueness of the solution of the
system in Hilbert space l2 on an interval time [0, T] for a sufficiently large T is then proven | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Institute of Engineering Mathematics, Universiti Malaysia Perlis | en_US |
| dc.subject.other | Infinite 2-system | en_US |
| dc.subject.other | Hilbert space | en_US |
| dc.subject.other | matrix | en_US |
| dc.subject.other | Differential equation | en_US |
| dc.title | Unique solution of an infinite 2-system model of first order ordinary differential equation | en_US |
| dc.type | Article | en_US |
| dc.contributor.url | idham_aa@upm.edu.my | en_US |
