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.
Submitted June 4, 2013. Published July 26, 2013.
Math Subject Classifications: 34B09, 34B15, 34B37.
Key Words: Eigenvalues; bifurcation technique; global behavior;
multiple solutions.
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Jing Wang School of Mathematical Sciences, Shandong Normal University Jinan, 250014, China email: wnself36@gmail.com | |
Baoqiang Yan School of Mathematical Sciences, Shandong Normal University Jinan, 250014, China email: yanbaoqiang666@gmail.com |
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