IJPAM: Volume 59, No. 3 (2010)
SOLUTIONS FOR BVPS ON TIME SCALES
General Education Center
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 is a parameter, . We use a fixed point theorem of Krasnoseskii in a cone to obtain the existence, nonexistence and multiplicity results of positive solutions of the boundary value problem for belonging to a suitable interval.
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