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

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