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2010, Volume 14, Issue 2: 353-365. Doi: 10.3934/dcdsb.2010.14.353
This issue Previous Article Very rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a non uniformly Lipschitz deformation Next Article Transversal periodic-to-periodic homoclinic orbits in singularly perturbed systems

Averaging of ordinary differential equations with slowly varying averages

  • 1.

    Department of Mathematics, The Weizmann Institute of Science, Rehovot 76100

Received:  June 30, 2009
Revised:  October 31, 2009
Published:  August 2010
Abstract Related Papers Cited by
    Abstract
  • 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.
    Mathematics Subject Classification: Primary: 34C29.

    Citation:
    shu

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