Bifurcation Problems for Generalized Beam Equations
We investigate a class of bifurcation problems for generalized beam equations and prove that the one-parameter family of problems have exactly two bifurcation points via a unified, elementary approach. The proof of the main results relies heavily on calculus facts rather than such complicated argum...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/635731 |
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| _version_ | 1832560803191980032 |
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| author | Fosheng Wang |
| author_facet | Fosheng Wang |
| author_sort | Fosheng Wang |
| collection | DOAJ |
| description | We investigate a class of bifurcation problems for generalized
beam equations and prove that the one-parameter family of problems
have exactly two bifurcation points via a unified, elementary approach.
The proof of the main results relies heavily on calculus facts rather than
such complicated arguments as Lyapunov-Schmidt reduction technique or
Morse index theory from nonlinear functional analysis. |
| format | Article |
| id | doaj-art-406b1125ddf34644b34b218b1ef91992 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-406b1125ddf34644b34b218b1ef919922025-02-03T01:26:43ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/635731635731Bifurcation Problems for Generalized Beam EquationsFosheng Wang0Department of Mathematics, Sichuan University, Chengdu 610064, ChinaWe investigate a class of bifurcation problems for generalized beam equations and prove that the one-parameter family of problems have exactly two bifurcation points via a unified, elementary approach. The proof of the main results relies heavily on calculus facts rather than such complicated arguments as Lyapunov-Schmidt reduction technique or Morse index theory from nonlinear functional analysis.http://dx.doi.org/10.1155/2014/635731 |
| spellingShingle | Fosheng Wang Bifurcation Problems for Generalized Beam Equations Advances in Mathematical Physics |
| title | Bifurcation Problems for Generalized Beam Equations |
| title_full | Bifurcation Problems for Generalized Beam Equations |
| title_fullStr | Bifurcation Problems for Generalized Beam Equations |
| title_full_unstemmed | Bifurcation Problems for Generalized Beam Equations |
| title_short | Bifurcation Problems for Generalized Beam Equations |
| title_sort | bifurcation problems for generalized beam equations |
| url | http://dx.doi.org/10.1155/2014/635731 |
| work_keys_str_mv | AT foshengwang bifurcationproblemsforgeneralizedbeamequations |