The existence and uniqueness of the solution of an infinite 3-system of differential equations in l2 space
Diviekga Nair MadhavanDepartment of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaIdham Arif AliasDepartment of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaGafurjan IbragimovRisman Mat HasimDepartment of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
2024en
ABI
Abstract
We design and investigate an infinite first order 3-system of differential equations in Hilbert space l2. We prove the existence and continuity of a unique solution of the system by showing the solution belongs to the space of continuous functions in l2 on some finite time interval.
Identifiers
Citations and references
Cited by 20 references