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GLOBAL PROPERTIES AND MULTIPLE SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS OF IMPULSIVE DIFFERENTIAL EQUATIONS.
- Source :
-
Electronic Journal of Differential Equations . 2013, Vol. 2013, p1-14. 14p. - Publication Year :
- 2013
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15506150
- Volume :
- 2013
- Database :
- Academic Search Index
- Journal :
- Electronic Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 91585426