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

Yuguo Lin and Minghe Pei

 Department of Mathematics, Bei Hua University, Jilin City 132013, China
Received 26 May 2007; Revised 20 July 2007; Accepted 21 September 2007

Recommended by Patricia J. Y. Wong

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.