Minimal and maximal solutions for two-point boundary-value problems
In this article we consider a boundary-value problem for the equation ${f(t,x,x',x'')=0}$ with mixed boundary conditions. Assuming the existence of suitable barrier strips, and using the monotone iterative method, we obtain the minimal and maximal solutions.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2003-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2003/21/abstr.html |
| _version_ | 1831681021345529856 |
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| author | Myron K. Grammatikopoulos Petio S. Kelevedjiev |
| author_facet | Myron K. Grammatikopoulos Petio S. Kelevedjiev |
| author_sort | Myron K. Grammatikopoulos |
| collection | DOAJ |
| description | In this article we consider a boundary-value problem for the equation ${f(t,x,x',x'')=0}$ with mixed boundary conditions. Assuming the existence of suitable barrier strips, and using the monotone iterative method, we obtain the minimal and maximal solutions. |
| first_indexed | 2024-12-20T05:49:07Z |
| format | Article |
| id | doaj.art-a81e3d0188fa4f70a2693f8265db479f |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-20T05:49:07Z |
| publishDate | 2003-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-a81e3d0188fa4f70a2693f8265db479f2022-12-21T19:51:14ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912003-02-01200321114Minimal and maximal solutions for two-point boundary-value problemsMyron K. GrammatikopoulosPetio S. KelevedjievIn this article we consider a boundary-value problem for the equation ${f(t,x,x',x'')=0}$ with mixed boundary conditions. Assuming the existence of suitable barrier strips, and using the monotone iterative method, we obtain the minimal and maximal solutions.http://ejde.math.txstate.edu/Volumes/2003/21/abstr.htmlBoundary-value problemsminimal and maximal solutionsmonotone methodbarrier strips. |
| spellingShingle | Myron K. Grammatikopoulos Petio S. Kelevedjiev Minimal and maximal solutions for two-point boundary-value problems Electronic Journal of Differential Equations Boundary-value problems minimal and maximal solutions monotone method barrier strips. |
| title | Minimal and maximal solutions for two-point boundary-value problems |
| title_full | Minimal and maximal solutions for two-point boundary-value problems |
| title_fullStr | Minimal and maximal solutions for two-point boundary-value problems |
| title_full_unstemmed | Minimal and maximal solutions for two-point boundary-value problems |
| title_short | Minimal and maximal solutions for two-point boundary-value problems |
| title_sort | minimal and maximal solutions for two point boundary value problems |
| topic | Boundary-value problems minimal and maximal solutions monotone method barrier strips. |
| url | http://ejde.math.txstate.edu/Volumes/2003/21/abstr.html |
| work_keys_str_mv | AT myronkgrammatikopoulos minimalandmaximalsolutionsfortwopointboundaryvalueproblems AT petioskelevedjiev minimalandmaximalsolutionsfortwopointboundaryvalueproblems |