Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 171, pp. 1-14.

Title: Global properties and multiple solutions for
       boundary-value problems of impulsive differential equations
        
Authors: Jing Wang    (Shandong Normal Univ., Jinan,  China)
         Baoqiang Yan (Shandong Normal Univ., Jinan,  China)

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.


Submitted June 4, 2013. Published July 26, 2013.
Math Subject Classifications: 34B09, 34B15, 34B37.
Key Words: Eigenvalues; bifurcation technique; global behavior;
           multiple solutions.