Abstract
By using fixed point theorems in cones, the existence of multiple positive solutions
is considered for nonlinear 
-point boundary value problem for the following second-order boundary value problem
on time scales 
, 
, 
, 
, where 
is an increasing homeomorphism and homomorphism and 
. Some new results are obtained for the existence of twin or an arbitrary odd number
of positive solutions of the above problem by applying Avery-Henderson and Leggett-Williams
fixed point theorems, respectively. In particular, our criteria generalize and improve
some known results by Ma and Castaneda (2001). We must point out for readers that
there is only the 
-Laplacian case for increasing homeomorphism and homomorphism. As an application,
one example to demonstrate our results is given.
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