Hyers-Ulam Stability, Exponential Stability, and Relative Controllability of Non-Singular Delay Difference Equations

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dc.contributor.authorSawitree Moonsuwan
dc.contributor.authorGul Rahmat
dc.contributor.authorAtta Ullah
dc.contributor.authorMuhammad Yasin Khan
dc.contributor.authorÊKamran Ê
dc.contributor.authorKamal Shah
dc.contributor.correspondenceK. Shah; Department of Mathematics and Sciences, Prince Sultan University, Riyadh, P. O. Box 66833, 11586, Saudi Arabia; email: kamalshah408@gmail.com
dc.date.accessioned2025-03-10T07:35:06Z
dc.date.available2025-03-10T07:35:06Z
dc.date.issued2022
dc.description.abstractIn this paper, we study the uniqueness and existence of the solutions of four types of non-singular delay difference equations by using the Banach contraction principles, fixed point theory, and Gronwall's inequality. Furthermore, we discussed the Hyers-Ulam stability of all the given systems over bounded and unbounded discrete intervals. The exponential stability and controllability of some of the given systems are also characterized in terms of spectrum of a matrix concerning the system. The spectrum of a matrix can be easily obtained and can help us to characterize different types of stabilities of the given systems. At the end, few examples are provided to illustrate the theoretical results. © 2022 Sawitree Moonsuwan et al.
dc.identifier.citationComplexity
dc.identifier.doi10.1155/2022/8911621
dc.identifier.issn10762787
dc.identifier.scopus2-s2.0-85141199842
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4642
dc.languageEnglish
dc.publisherHindawi Limited
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.titleHyers-Ulam Stability, Exponential Stability, and Relative Controllability of Non-Singular Delay Difference Equations
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85141199842&doi=10.1155%2f2022%2f8911621&partnerID=40&md5=8e1f1563ed0b1ed3942a18b42b561660
oaire.citation.volume2022
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