Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 04, pp. 1-10.

Title: Nonlinear scalar two-point boundary-value problems on time scales
       
Author: Rebecca I. B. Kalhorn (North Carolina State Univ., Raleigh, NC, USA)
        Jesus Rodriguez (North Carolina State Univ., Raleigh, NC, USA)

Abstract: 
 We establish sufficient conditions for the solvability of scalar
 nonlinear boundary-value problems on time scales.
 Our attention will be focused on problems where the solution
 space for the corresponding linear homogeneous boundary-value
 problem is nontrivial.  As a consequence of our results we are
 able to provide easily verifiable conditions for the existence
 of periodic behavior for dynamic equations on time scales.
 
Submitted March 17, 2009. Published January 06, 2010.
Math Subject Classifications: 39B99, 39A10.
Key Words: Boundary value problems; time scales;
           Schauder fixed point theorem