Advances in Difference Equations
Volume 2007 (2007), Article ID 87818, 15 pages
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

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.


We offer criteria for the existence of positive solutions for two-point right focal eigenvalue problems (1)npyΔn(t)=λf(t,y(σn1(t)),yΔ(σn2(t)),,yΔp1(σnp(t))),t[0,1]T,yΔi(0)=0,0ip1,yΔi(σ(1))=0,pin1, where λ>0,n2,1pn1 are fixed and T is a time scale.