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

AHP Van Der Burgh - Nonlinear Analysis: Theory, Methods & …, 2003 - Elsevier
Existence and stability of periodic solutions by using second-order averaging when the
vector field by first-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 coefficients is
given. As an application the existence and stability of periodic solutions of an
inhomogeneous second-order equation with time-dependent damping coefficient are …
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