Sufficient conditions for the stability of a system of Non-linear Volterra difference equations with variable Delay

dc.contributor.author	Mensah, Kweku Abeeku
dc.date.accessioned	2024-12-09T11:33:03Z
dc.date.available	2024-12-09T11:33:03Z
dc.date.issued	2022-12
dc.identifier.uri	http://hdl.handle.net/123456789/11312
dc.description	vii, 58p,; ill.	en_US
dc.description.abstract	This research seeks to obtain sufficient conditions for the zero solution of a system of non-linear Volterra difference equations with variable delay to be stable. The Lyapunov’s direct method is employed in the research to establish the sufficient conditions. In the process a suitable Lyapunov function is constructed which is then used to obtain inequalities that relate the solution of the system of difference equations. The obtained inequalities were then utilized to obtain results for which the system of non-linear Volterra difference equations has a stable zero solution. To illustrate the power of the obtained sufficient conditions, an example was constructed.	en_US
dc.language.iso	en	en_US
dc.publisher	University of Cape Coast	en_US
dc.subject	Difference equation Lyapunov function Non-linear difference equation Stability Variable delay Volterra difference equation	en_US
dc.title	Sufficient conditions for the stability of a system of Non-linear Volterra difference equations with variable Delay	en_US
dc.type	Thesis	en_US