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- Title
Subharmonic Solutions with Prescribed Minimal Period of a Forced Pendulum Equation with Impulses.
- Authors
Kong, Fanchao
- 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.
- Subjects
SUBHARMONIC functions; PENDULUMS; IMPULSE (Physics); PRINCIPLE of least action; MATLAB (Computer software)
- Publication
Acta Applicandae Mathematicae, 2018, Vol 158, Issue 1, p125
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-018-0177-y