Green's function and existence of solutions for a functional focal differential equation
We determine Green's function for a third-order three-point boundary-value problem of focal type and determine conditions on the coefficients and boundary points to ensure its positivity. We then apply this in the determination of the existence of positive solutions to a related higher-ord...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2006-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/12/abstr.html |
| _version_ | 1811297536409862144 |
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| author | Douglas R. Anderson Tyler O. Anderson Mathew M. Kleber |
| author_facet | Douglas R. Anderson Tyler O. Anderson Mathew M. Kleber |
| author_sort | Douglas R. Anderson |
| collection | DOAJ |
| description | We determine Green's function for a third-order three-point boundary-value problem of focal type and determine conditions on the coefficients and boundary points to ensure its positivity. We then apply this in the determination of the existence of positive solutions to a related higher-order functional differential equation. |
| first_indexed | 2024-04-13T06:05:52Z |
| format | Article |
| id | doaj.art-2457644fbc5941d388676658d2a417a5 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T06:05:52Z |
| publishDate | 2006-01-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-2457644fbc5941d388676658d2a417a52022-12-22T02:59:15ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-01-01200612114Green's function and existence of solutions for a functional focal differential equationDouglas R. AndersonTyler O. AndersonMathew M. KleberWe determine Green's function for a third-order three-point boundary-value problem of focal type and determine conditions on the coefficients and boundary points to ensure its positivity. We then apply this in the determination of the existence of positive solutions to a related higher-order functional differential equation.http://ejde.math.txstate.edu/Volumes/2006/12/abstr.htmlMultiple solutionsboundary value problemsGreen's functionthird order differential equation. |
| spellingShingle | Douglas R. Anderson Tyler O. Anderson Mathew M. Kleber Green's function and existence of solutions for a functional focal differential equation Electronic Journal of Differential Equations Multiple solutions boundary value problems Green's function third order differential equation. |
| title | Green's function and existence of solutions for a functional focal differential equation |
| title_full | Green's function and existence of solutions for a functional focal differential equation |
| title_fullStr | Green's function and existence of solutions for a functional focal differential equation |
| title_full_unstemmed | Green's function and existence of solutions for a functional focal differential equation |
| title_short | Green's function and existence of solutions for a functional focal differential equation |
| title_sort | green s function and existence of solutions for a functional focal differential equation |
| topic | Multiple solutions boundary value problems Green's function third order differential equation. |
| url | http://ejde.math.txstate.edu/Volumes/2006/12/abstr.html |
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