Research Article
Existence of Positive Solution to Second-Order Three-Point BVPs on Time Scales
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
Boundary Value Problems 2009, 2009:685040 doi:10.1155/2009/685040
Published: 28 September 2009Abstract
We are concerned with the following nonlinear second-order three-point boundary value
problem on time scales 
, 
, 
, 
, where 
with 
and 
. A new representation of Green's function for the corresponding linear boundary value
problem is obtained and some existence criteria of at least one positive solution
for the above nonlinear boundary value problem are established by using the iterative
method.
