Existence, uniqueness and constructive results for delay differential equations

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dc.contributor.authorEloe, Paul W.
dc.contributor.authorRaffoul, Youssef N.
dc.contributor.authorTisdell, Christopher
dc.date.accessioned2021-07-13T14:01:24Z
dc.date.available2021-07-13T14:01:24Z
dc.date.issued2005-10-27
dc.description.abstractHere, we investigate boundary-value problems (BVPs) for systems of second-order, ordinary, delay-differential equations. We introduce some differential inequalities such that all solutions (and their derivatives) to a certain family of BVPs satisfy some a priori bounds. The results are then applied, in conjunction with topological arguments, to prove the existence of solutions. We then apply earlier abstract theory of Petryshyn to formulate some constructive results under which solutions to BVPs for systems of second-order, ordinary, delay-differential equations are A-solvable and may be approximated via a Galerkin method. Finally, we provide some differential inequalities such that solutions to our equations are unique.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationEloe, P. W., Raffoul, Y. N., & Tisdell, C. C. (2005). Existence, uniqueness and constructive results for delay differential equations. <i>Electronic Journal of Differential Equations, 2005</i>(121), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13846
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectDelay differential equations
dc.subjectBoundary value problems
dc.subjectExistence of solutions
dc.subjectA-solvable
dc.subjectUniqueness of solutions
dc.titleExistence, uniqueness and constructive results for delay differential equations
dc.typeArticle

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