Representation of solutions of a second order delay differential equation

dc.contributor.authorQiu, Kee
dc.contributor.authorWang, Jinrong
dc.date.accessioned2021-10-01T14:34:10Z
dc.date.available2021-10-01T14:34:10Z
dc.date.issued2020-07-07
dc.description.abstractIn this article, we study an inhomogeneous second order delay differential equation on the fractal set ℝαn (0 < α ≤ 1), based on the theory of local calculus. We introduce delay cosine and sine type matrix functions and give their properties on the fractal set. We give the representation of solutions to second order differential equations with pure delay and two delays.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationQiu, K., & Wang, J. (2020). Representation of solutions of a second order delay differential equation. <i>Electronic Journal of Differential Equations, 2020</i>(72), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14579
dc.language.isoen
dc.publisherTexas 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, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSecond order delay differential equations
dc.subjectDelayed matrix functions
dc.subjectFractal set
dc.titleRepresentation of solutions of a second order delay differential equation
dc.typeArticle

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