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dc.contributor.authorBattle, Laurie ( )
dc.date.accessioned2021-05-17T20:38:57Z
dc.date.available2021-05-17T20:38:57Z
dc.date.issued2005-01-02
dc.identifier.citationBattle, L. (2005). Solution dependence on problem parameters for initial-value problems associated with the Stieltjes Sturm-Liouville equations. Electronic Journal of Differential Equations, 2005(02), pp. 1-18.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/13573
dc.description.abstractWe examine properties of solutions to a 2n-dimensional Stieltjes Sturm-Liouville initial-value problem. Existence and uniqueness of a solution has been previously proven, but we present a proof in order to establish properties of boundedness, bounded variation, and continuity. These properties are then used to prove that the solutions depend continuously on the coefficients and on the initial conditions under certain hypotheses. In a future paper, these results will be extended to eigenvalue problems, and we will examine dependence on the endpoints and boundary data in addition to the coefficients. We will find conditions under which the eigenvalues depend continuously and differentiably on these parameters.en_US
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectInitial value problemsen_US
dc.subjectContinuous dependenceen_US
dc.subjectLinear systemsen_US
dc.titleSolution dependence on problem parameters for initial-value problems associated with the Stieltjes Sturm-Liouville equationsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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