Show simple item record

dc.contributor.authorHnyp, Yevheniia ( )
dc.contributor.authorMikhailets, Vladimir ( Orcid Icon 0000-0002-1332-1562 )
dc.contributor.authorMurach, Aleksandr ( Orcid Icon 0000-0001-6656-8262 )
dc.date.accessioned2022-04-06T20:23:08Z
dc.date.available2022-04-06T20:23:08Z
dc.date.issued2017-03-24
dc.identifier.citationHnyp, Y., Mikhailets, V., & Murach, A. (2017). Parameter-dependent one-dimensional boundary-value problems in Sobolev spaces. Electronic Journal of Differential Equations, 2017(81), pp. 1-13.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/15613
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.en_US
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectDifferential systemen_US
dc.subjectBoundary-value problemen_US
dc.subjectSobolev spaceen_US
dc.subjectContinuity in parameteren_US
dc.titleParameter-dependent one-dimensional boundary-value problems in Sobolev spacesen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


Download

Thumbnail

This item appears in the following Collection(s)

Show simple item record