Higher-order averaging: periodic solutions, linear systems and an application

✍ Scribed by Hartono; A.H.P. van der Burgh

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 292 KB
• Volume: 52
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(02)00285-7

✦ Synopsis

Existence and stability of periodic solutions by using second-order averaging when the vector ÿeld by ÿrst-order averaging vanishes, will be studied in this paper as well as its generalization to higher order. A special averaging algorithm for the computation of higher approximations of the fundamental matrix of linear equations with periodic coe cients is given. As an application the existence and stability of periodic solutions of an inhomogeneous second-order equation with time-dependent damping coe cient are studied.