Direction of bifurcation for some non-autonomous problems
We study the exact multiplicity of positive solutions, and the global solution structure for several classes of non-autonomous two-point problems. We present two situations where the direction of turn can be computed rather directly. As an application, we consider a problem from combustion theor...
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| Format: | Article |
| Language: | English |
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Texas State University
2012-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/214/abstr.html |
| _version_ | 1818827350171713536 |
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| author | Philip Korman |
| author_facet | Philip Korman |
| author_sort | Philip Korman |
| collection | DOAJ |
| description | We study the exact multiplicity of positive solutions, and the global solution structure for several classes of non-autonomous two-point problems. We present two situations where the direction of turn can be computed rather directly. As an application, we consider a problem from combustion theory with a sign-changing potential. We illustrate our results by numerical computations, using a novel method. |
| first_indexed | 2024-12-19T00:42:09Z |
| format | Article |
| id | doaj.art-978685e29d234edba5641b4fd39d70ac |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-19T00:42:09Z |
| publishDate | 2012-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-978685e29d234edba5641b4fd39d70ac2022-12-21T20:44:29ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-11-012012214,113Direction of bifurcation for some non-autonomous problemsPhilip KormanWe study the exact multiplicity of positive solutions, and the global solution structure for several classes of non-autonomous two-point problems. We present two situations where the direction of turn can be computed rather directly. As an application, we consider a problem from combustion theory with a sign-changing potential. We illustrate our results by numerical computations, using a novel method.http://ejde.math.txstate.edu/Volumes/2012/214/abstr.htmlGlobal solution curvesdirection of bifurcationcontinuation in a global parameter |
| spellingShingle | Philip Korman Direction of bifurcation for some non-autonomous problems Electronic Journal of Differential Equations Global solution curves direction of bifurcation continuation in a global parameter |
| title | Direction of bifurcation for some non-autonomous problems |
| title_full | Direction of bifurcation for some non-autonomous problems |
| title_fullStr | Direction of bifurcation for some non-autonomous problems |
| title_full_unstemmed | Direction of bifurcation for some non-autonomous problems |
| title_short | Direction of bifurcation for some non-autonomous problems |
| title_sort | direction of bifurcation for some non autonomous problems |
| topic | Global solution curves direction of bifurcation continuation in a global parameter |
| url | http://ejde.math.txstate.edu/Volumes/2012/214/abstr.html |
| work_keys_str_mv | AT philipkorman directionofbifurcationforsomenonautonomousproblems |