Advances in Difference Equations
Volume 2007 (2007), Article ID 87818, 15 pages
doi:10.1155/2007/87818
Research Article
Positive Solutions of Two-Point Right Focal Eigenvalue Problems on Time Scales
Department of Mathematics, Bei Hua University, Jilin City 132013, China
Received 26 May 2007; Revised 20 July 2007; Accepted 21 September 2007
Academic Editor: Patricia J. Y. Wong
Copyright © 2007 Yuguo Lin and Minghe Pei. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We offer criteria for the existence of positive solutions for two-point right
focal eigenvalue problems
(−1)n−pyΔn(t)=λf(t,y(σn−1(t)),yΔ(σn−2(t)),…,yΔp−1(σn−p(t))), t∈[0,1]∩T,yΔi(0)=0, 0≤i≤p−1,yΔi(σ(1))=0, p≤i≤n−1,
where λ>0, n≥2,1≤p≤n−1 are fixed and T is a time scale.