Boundary-value problems for ordinary differential equations with matrix coefficients containing a spectral parameter

Simple item page
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.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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDenche, M., & Guerfi, A. (2007). Boundary-value problems for ordinary differential equations with matrix coefficients containing a spectral parameter. <i>Electronic Journal of Differential Equations, 2007</i>(14), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14164
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectCharacteristic determinant
dc.subjectExpansion formula
dc.subjectGreen matrix
dc.subjectRegularity conditions
dc.titleBoundary-value problems for ordinary differential equations with matrix coefficients containing a spectral parameter
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
denche.pdf
Size:
233.43 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations