期刊论文详细信息
Canadian mathematical bulletin | |
Eigenvalue Approach to Even Order System Periodic Boundary Value Problems | |
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
【 预 览 】
Files | Size | Format | View |
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RO201912050576924ZK.pdf | 36KB | download |