A Remark on Real Parameter Global Bifurcation
β Scribed by S. C. Welsh
- Book ID
- 110236528
- Publisher
- Akadmiai Kiad
- Year
- 1998
- Tongue
- English
- Weight
- 653 KB
- Volume
- 78
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
## Abstract A simple generalization of the Hopf Bifurcation Theorem for scalar higher order ordinary differential equations is suggested. We study the degenerate case where several roots of the characteristic polynomial cross the imaginary axis at the same point for some value __Ξ»__~0~ of the param
We consider the structure of the solution set of a nonlinear Sturm-Liouville boundary value problem defined on a general time scale. Using global bifurcation theory we show that unbounded continua of nontrivial solutions bifurcate from the trivial solution at the eigenvalues of the linearization, an