Pablo Amster, Christopher C. Tisdell
Abstract:
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 email: pamster@dm.uba.ar |
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Christopher C. Tisdell School of Mathematics The University of New South Wales Sydney, NSW, 2052, Australia email: cct@maths.unsw.edu.au |
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