This issuePrevious ArticleVery rapidly varying boundaries in equations with nonlinear boundary
conditions. The case of a non uniformly Lipschitz deformationNext ArticleTransversal periodic-to-periodic homoclinic orbits in singularly
perturbed systems
Averaging of ordinary differential equations with slowly varying
averages
The averaging method asserts that
a good approximation to the solution of a time varying ordinary
differential equation with small amplitude is the solution of the
averaged equation, and that the error is maintained small on a long
time interval. We establish a similar result allowing the averaged
equation to vary in time, thus allowing slowly varying averages of
the original equation. Both the modeling issue and the estimation
of the resulting errors are addressed.