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- Title
GLOBAL PROPERTIES AND MULTIPLE SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS OF IMPULSIVE DIFFERENTIAL EQUATIONS.
- Authors
JING WANG; BAOQIANG YAN
- Abstract
This article presents global properties and existence of multiple solutions for a class of boundary value problems of impulsive differential equations. We first show that the spectral properties of the linearization of these problems are similar to the well-know properties of the standard Sturm-Liouville problems. These spectral properties are then used to prove two Rabinowitz-type global bifurcation theorems. Finally, we use the global bifurcation theorems to obtain multiple solutions for the above problems having specified nodal properties.
- Subjects
NUMERICAL solutions to boundary value problems; DIFFERENTIAL equations; NUMERICAL solutions to Sturm-Liouville equations; BIFURCATION theory; MATHEMATICAL analysis; MATHEMATICAL physics
- Publication
Electronic Journal of Differential Equations, 2013, Vol 2013, p1
- ISSN
1550-6150
- Publication type
Article