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dc.contributor.authorDenche, Mohamed ( )
dc.contributor.authorMeziani, Abderrahmane ( )
dc.date.accessioned2021-08-06T13:39:47Z
dc.date.available2021-08-06T13:39:47Z
dc.date.issued2007-04-17
dc.identifier.citationDenche, M., & Meziani, A. (2007). Boundary-value problems for second-order differential operators with nonlocal boundary conditions. Electronic Journal of Differential Equations, 2007(56), pp. 1-21.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14217
dc.description.abstractIn this paper, we study a second-order differential operator combining weighting integral boundary condition with another two-point boundary condition. Under certain conditions on the weighting functions, called regular and non regular cases, we prove that the resolvent decreases with respect to the spectral parameter in Lp(0, 1), but there is no maximal decrease at infinity for p > 1. Furthermore, the studied operator generates in Lp(0, 1), an analytic semi group for p = 1 in the regular case, and an analytic semi group with singularities for p > 1, in both cases, and for p = 1, in the non regular case only. The obtained results are then used to show the correct solvability of a mixed problem for parabolic partial differential equation with non regular boundary conditions.
dc.formatText
dc.format.extent21 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectGreen's functionen_US
dc.subjectRegular and non regular boundary conditionsen_US
dc.subjectSemi group with singularitiesen_US
dc.subjectWeighted mixed boundary conditionsen_US
dc.titleBoundary-value problems for second-order differential operators with nonlocal boundary conditionsen_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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