Periodicity of mild solutions to higher order differential equations in Banach spaces

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dc.contributor.authorNguyen, Thanh Lan
dc.date.accessioned2021-04-26T15:12:34Z
dc.date.available2021-04-26T15:12:34Z
dc.date.issued2004-06-04
dc.description.abstractWe give necessary and sufficient conditions for the periodicity of mild solutions to the higher order differential equation u(n)(t) = Au(t) + ƒ(t), 0 ≤ t ≤ T, in a Banach space E. Applications are made to the cases, when A generates a C0-semigroup or a cosine family, and when E is a Hilbert space.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationNguyen, T. L. (2004). Periodicity of mild solutions to higher order differential equations in Banach spaces. <i>Electronic Journal of Differential Equations, 2004</i>(79), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13433
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectAbstract Cauchy problems
dc.subjectFourier series
dc.subjectPeriodic mild solutions
dc.subjectSemigroups and cosine families
dc.titlePeriodicity of mild solutions to higher order differential equations in Banach spaces
dc.typeArticle

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