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Title: A Survey of Nonlinear Sturm-Liouville Equations
Authors: Chen, Chao-Nien
Contributors: 數學系
Date: 2005
Issue Date: 2013-06-05T07:32:16Z
Publisher: SpringerLink
Abstract: 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.
Relation: Sturm-Liouville Theory, 201-216
Appears in Collections:[math] Periodical Articles

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