Positive solutions of a boundary value problem with integral boundary conditions
We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters $mu^*, lambda^*$ so that some nonlinear differential equations,...
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| Format: | Article |
| Language: | English |
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Texas State University
2011-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/55/abstr.html |
| _version_ | 1811257865905635328 |
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| author | Jeff R. L. Webb |
| author_facet | Jeff R. L. Webb |
| author_sort | Jeff R. L. Webb |
| collection | DOAJ |
| description | We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters $mu^*, lambda^*$ so that some nonlinear differential equations, with nonlocal boundary conditions of integral type, have two positive solutions for all $lambda$ with $mu^*< lambda < lambda^*$. |
| first_indexed | 2024-04-12T18:04:14Z |
| format | Article |
| id | doaj.art-4c707b2d397e491bbd76f37704ce1c64 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T18:04:14Z |
| publishDate | 2011-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-4c707b2d397e491bbd76f37704ce1c642022-12-22T03:22:03ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-05-01201155,110Positive solutions of a boundary value problem with integral boundary conditionsJeff R. L. WebbWe consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters $mu^*, lambda^*$ so that some nonlinear differential equations, with nonlocal boundary conditions of integral type, have two positive solutions for all $lambda$ with $mu^*< lambda < lambda^*$.http://ejde.math.txstate.edu/Volumes/2011/55/abstr.htmlNonlocal boundary conditionspositive solution |
| spellingShingle | Jeff R. L. Webb Positive solutions of a boundary value problem with integral boundary conditions Electronic Journal of Differential Equations Nonlocal boundary conditions positive solution |
| title | Positive solutions of a boundary value problem with integral boundary conditions |
| title_full | Positive solutions of a boundary value problem with integral boundary conditions |
| title_fullStr | Positive solutions of a boundary value problem with integral boundary conditions |
| title_full_unstemmed | Positive solutions of a boundary value problem with integral boundary conditions |
| title_short | Positive solutions of a boundary value problem with integral boundary conditions |
| title_sort | positive solutions of a boundary value problem with integral boundary conditions |
| topic | Nonlocal boundary conditions positive solution |
| url | http://ejde.math.txstate.edu/Volumes/2011/55/abstr.html |
| work_keys_str_mv | AT jeffrlwebb positivesolutionsofaboundaryvalueproblemwithintegralboundaryconditions |