Asymptotic Behavior of the Bifurcation Diagrams for Semilinear Problems with Application to Inverse Bifurcation Problems
We consider the nonlinear eigenvalue problem u″(t)+λf(u(t))=0, u(t)>0, t∈I=:(-1,1), u(1)=u(-1)=0, where f(u) is a cubic-like nonlinear term and λ>0 is a parameter. It is known by Korman et al. (2005) that, under the suitable conditions on f(u), there exist exactly three bifurcation branches...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/138629 |