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.
e-mail: [email protected]
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