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dc.contributor.authorDenche, Mohamed ( )
dc.contributor.authorGuerfi, Amara ( )
dc.date.accessioned2021-08-02T20:47:07Z
dc.date.available2021-08-02T20:47:07Z
dc.date.issued2007-01-08
dc.identifier.citationDenche, M., & Guerfi, A. (2007). Boundary-value problems for ordinary differential equations with matrix coefficients containing a spectral parameter. Electronic Journal of Differential Equations, 2007(14), pp. 1-9.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14164
dc.description.abstractIn the present work, we study a multi-point boundary-value problem for an ordinary differential equation with matrix coefficients containing a spectral parameter in the boundary conditions. Assuming some regularity conditions, we show that the characteristic determinant has an infinite number of zeros, and specify their asymptotic behavior. Using the asymptotic behavior of Green matrix on contours expending at infinity, we establish the series expansion formula of sufficiently smooth functions in terms of residuals solutions to the given problem. This formula actually gives the completeness of root functions as well as the possibility of calculating the coefficients of the series.en_US
dc.formatText
dc.format.extent9 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.subjectCharacteristic determinanten_US
dc.subjectExpansion formulaen_US
dc.subjectGreen matrixen_US
dc.subjectRegularity conditionsen_US
dc.titleBoundary-value problems for ordinary differential equations with matrix coefficients containing a spectral parameteren_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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