Rebecca I. B. Kalhorn, Jesus Rodriguez
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 6, 2010.
Math Subject Classifications: 39B99, 39A10.
Key Words: Boundary value problems; time scales;
Schauder fixed point theorem
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Rebecca I. B. Kalhorn Department of Mathematics North Carolina State University, Box 8205 Raleigh, NC 7695-8205, USA email: rkalhorn@gmail.com | |
Jesús Rodríguez Department of Mathematics North Carolina State University, Box 8205 Raleigh, NC 7695-8205, USA email: rodrigu@ncsu.edu |
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