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References (13)
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- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Springer Science+Business Media B.V., part of Springer Nature
- Subject
- Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-018-0177-y
- Publisher site
- See Article on Publisher Site
Abstract
This paper is mainly concerned with a forced pendulum equation with impulses and the length of the pendulum is variable. The main tool utilized to establish our results on the subharmonic solutions with prescribed minimal period is the theorem of the least action principle due to Mawhin and Willem. As an application, three examples are given, and the corresponding numerical subharmonic solutions for the examples are obtained by applying Matlab software. Some results in the literature can be generalized and improved.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Apr 4, 2018