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题名: A Survey of Nonlinear Sturm-Liouville Equations
作者: Chen, Chao-Nien
贡献者: 數學系
日期: 2005
上传时间: 2013-06-05T07:32:16Z
出版者: SpringerLink
摘要: This note gives a brief survey of existence, uniqueness and bifurcation results for nonlinear Sturm-Liouville equations. Early in 1960, Nehari made an interesting proposal to study solutions with a prescribed number of nodes. His ideas have had a great influence on critical point theory as a branch of the calculus of variations. Rabinowitz established a global bifurcation theorem based on the nodal properties of solutions. Some results on bifurcation from the lowest point of the continuous spectrum will also be discussed.
關聯: Sturm-Liouville Theory, 201-216
显示于类别:[數學系] 期刊論文


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