Publication
Journal of Differential Equations
Paper

Differential equations having rapidly changing solutions: Analytic methods for weakly nonlinear systems

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Abstract

Initial value problems for weakly nonlinear systems of differential equations are studied here. A perturbation result is obtained which is shown to give a valid approximation to the solution. The approximation is determined by solving two associated problems, and it is especially derived for problems which have rapidly oscillating and rapidly decaying solutions. © 1976.

Date

01 Jan 1976

Publication

Journal of Differential Equations

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