National Changhua University of Education Institutional Repository : Item 987654321/16694

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/16694

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/16694

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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