On delay differential equations with nonlinear boundary conditions
The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique solution. Such results are obtained using techniques of weakly coupled lower and upper solu...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2005-06-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/BVP.2005.201 |
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Article |
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doaj-2f65982a4dda414da4a030a2f0f985e12020-11-24T21:44:38ZengSpringerOpenBoundary Value Problems1687-27621687-27702005-06-012005220121410.1155/BVP.2005.201On delay differential equations with nonlinear boundary conditionsTadeusz JankowskiThe monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique solution. Such results are obtained using techniques of weakly coupled lower and upper solutions or lower and upper solutions. Corresponding results are also obtained for such problems with more delayed arguments. Some new interesting results are also formulated for delay differential inequalities.http://dx.doi.org/10.1155/BVP.2005.201 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tadeusz Jankowski |
| spellingShingle |
Tadeusz Jankowski On delay differential equations with nonlinear boundary conditions Boundary Value Problems |
| author_facet |
Tadeusz Jankowski |
| author_sort |
Tadeusz Jankowski |
| title |
On delay differential equations with nonlinear boundary conditions |
| title_short |
On delay differential equations with nonlinear boundary conditions |
| title_full |
On delay differential equations with nonlinear boundary conditions |
| title_fullStr |
On delay differential equations with nonlinear boundary conditions |
| title_full_unstemmed |
On delay differential equations with nonlinear boundary conditions |
| title_sort |
on delay differential equations with nonlinear boundary conditions |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2005-06-01 |
| description |
The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique solution. Such results are obtained using techniques of weakly coupled lower and upper solutions or lower and upper solutions. Corresponding results are also obtained for such problems with more delayed arguments. Some new interesting results are also formulated for delay differential inequalities. |
| url |
http://dx.doi.org/10.1155/BVP.2005.201 |
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AT tadeuszjankowski ondelaydifferentialequationswithnonlinearboundaryconditions |
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1725908977604100096 |