Abstract view
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Eigenvalue Approach to Even Order System Periodic Boundary Value Problems
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Published:2011-07-04
Printed: Mar 2013
Qingkai Kong,
Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA
Min Wang,
Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA
Abstract
We study an even order system boundary value problem with
periodic boundary conditions. By establishing
the existence of a positive eigenvalue of an associated linear system
Sturm-Liouville problem, we obtain new conditions for the boundary
value problem to have a positive solution. Our major tools are the
Krein-Rutman theorem for linear spectra and the fixed point index theory
for compact operators.
