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dc.contributor.authorWang, Chao
dc.contributor.authorAgarwal, Ravi P
dc.contributor.authorO’Regan, Donal
dc.date.accessioned2018-09-20T16:28:04Z
dc.date.available2018-09-20T16:28:04Z
dc.date.issued2017-10-02
dc.identifier.citationWang, Chao; Agarwal, Ravi P; O’Regan, Donal (2017). A matched space for time scales and applications to the study on functions. Advances in Difference Equations ,
dc.identifier.issn1687-1847
dc.identifier.urihttp://hdl.handle.net/10379/14361
dc.description.abstractIn this paper, using the algebraic structure of the Abelian group, we introduce the concept of a matched space for time scales, and we construct the algebraic structure of matched spaces to solve the closedness of time scales under non-translational shifts. Using a matched space for time scales, a new concept of periodic time scales is introduced. Based on it, new concepts of periodic functions, almost periodic functions and almost automorphic functions whose concepts were defined on translations of their arguments are proposed through non-translational shifts. The results in this paper provide new methods to consider periodic solution, almost periodic solution and almost automorphic solutions for q-difference equations and others on irregular time scales via the background of the algebraic structure.
dc.publisherSpringer Nature
dc.relation.ispartofAdvances in Difference Equations
dc.subjecttime scales
dc.subjectmatched space
dc.subjectperiodic functions
dc.subjectalmost periodic functions
dc.subjectalmost automorphic functions
dc.subjectsolutions for dynamic equations
dc.subjectalmost-periodic functions
dc.subjectweighted piecewise pseudo
dc.subjectdifferential-equations
dc.subjectautomorphic-functions
dc.subjectneural-networks
dc.titleA matched space for time scales and applications to the study on functions
dc.typeArticle
dc.identifier.doi10.1186/s13662-017-1366-0
dc.local.publishedsourcehttps://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-017-1366-0?site=advancesindifferenceequations.springeropen.com
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