IJPAM: Volume 59, No. 3 (2010)
EXISTENCE AND NONEXISTENCE OF POSITIVE
SOLUTIONS FOR BVPS ON TIME SCALES
SOLUTIONS FOR BVPS ON TIME SCALES
Chen-Huang Hong
, Ching-Yan Lin
General Education Center
National Taipei University of Technology
Taipei, 106, TAIWAN, R.O.C.
e-mail: [email protected]
e-mail: f10454
ntut.edu.tw



National Taipei University of Technology
Taipei, 106, TAIWAN, R.O.C.



Abstract.In this paper we consider the boundary value problem on time scales of the form:

where

![$f\in C([0,\sigma(1)]\times [0,\infty),[0,\infty))$](img7.png)


Received: January 20, 2010
AMS Subject Classification: 34A15
Key Words and Phrases: existence, nonexistence, positive solution, time scales, Green's function, cone, fixed point
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 59
Issue: 3