Two classical periodic problems on time scales
Date
2007-11-09
Authors
Amster, Pablo
Tisdell, Christopher
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Time scale, Boundary value problem, Forced pendulum equation, Landesman-Lazer conditions, Existence of solutions
Citation
Amster, P., & Tisdell, C. (2007). Two classical periodic problems on time scales. <i>Electronic Journal of Differential Equations, 2007</i>(149), pp. 1-12.
Rights
Attribution 4.0 International