Eigenvalue Approach to Even Order System Periodic Boundary Value Problems

Canadian mathematical bulletin

Min Wang¹  Qingkai Kong¹ 

[1] Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA

关键词: Green's function;    high order system boundary value problems;    positive solutions;    Sturm-Liouville problem;   

DOI  :  10.4153/CMB-2011-138-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We study an even order system boundary value problem withperiodic boundary conditions. By establishingthe existence of a positive eigenvalue of an associated linear systemSturm-Liouville problem, we obtain new conditions for the boundaryvalue problem to have a positive solution. Our major tools are theKrein-Rutman theorem for linear spectra and the fixed point index theoryfor compact operators.

【 授权许可】

Unknown