Pablo Amster, Christopher C. Tisdell
We consider the generalization of two classical periodic problems to the context of time scales. On the one hand, we generalize a celebrated result by Castro for the forced pendulum equation. On the other hand, we extend a well-known result by Nirenberg to a resonant system of equations on time scales. Furthermore, the results are new even for classical difference equations.
Submitted April 3, 2007. Published November 9, 2007.
Math Subject Classifications: 39A12, 39A99.
Key Words: Time scale; boundary value problem; forced pendulum equation; Landesman-Lazer conditions; existence of solutions.
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| Pablo Amster |
Departamento de Matemática
Universidad de Buenos Aires
Ciudad Universitaria, Pabellóon I
(1428) Buenos Aires, Argentina
| Christopher C. Tisdell |
School of Mathematics
The University of New South Wales
Sydney, NSW, 2052, Australia
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