Parameter-dependent one-dimensional boundary-value problems in Sobolev spaces

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dc.contributor.authorHnyp, Yevheniia
dc.contributor.authorMikhailets, Vladimir
dc.contributor.authorMurach, Aleksandr
dc.date.accessioned2022-04-06T20:23:08Z
dc.date.available2022-04-06T20:23:08Z
dc.date.issued2017-03-24
dc.description.abstractWe consider the most general class of linear boundary-value problems for higher-order ordinary differential systems whose solutions and right-hand sides belong to the corresponding Sobolev spaces. For parameter-dependent problems from this class, we obtain a constructive criterion under which their solutions are continuous in the Sobolev space with respect to the parameter. We also obtain a two-sided estimate for the degree of convergence of these solutions to the solution of the nonperturbed problem. These results are applied to a new broad class of parameter-dependent multipoint boundary-value problems.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationHnyp, Y., Mikhailets, V., & Murach, A. (2017). Parameter-dependent one-dimensional boundary-value problems in Sobolev spaces. <i>Electronic Journal of Differential Equations, 2017</i>(81), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15613
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectDifferential system
dc.subjectBoundary-value problem
dc.subjectSobolev space
dc.subjectContinuity in parameter
dc.titleParameter-dependent one-dimensional boundary-value problems in Sobolev spaces
dc.typeArticle

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