On a class of Hill’s equations having explicit solutions

• DOI: 10.1016/j.aml.2013.05.005
• Publication Date: 2013-05-22T15:20:27Z
• Authors: Michele Bartuccelli; Guido Gentile; James A. Wright
• Keywords: 0101 mathematics; 01 natural sciences

Abstract We present a class of Hill’s equations possessing explicit solutions through elementary functions. In addition we provide some applications by using some of the paradigmatic systems of classical dynamics, such as the pendulum with variable length.