Two classical periodic problems on time scales
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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.
CitationAmster, P., & Tisdell, C. (2007). Two classical periodic problems on time scales. Electronic Journal of Differential Equations, 2007(149), pp. 1-12.
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