Differential equations having rapidly changing solutions: Analytic methods for weakly nonlinear systems |
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| Authors: | FC Hoppensteadt Willard L Miranker |
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| Institution: | Courant Institute of Mathematical Sciences, New York University, New York 10012 USA;Mathematical Department, IBM Thomas J. Watson Research Center, Yorktown Heights, New York 10598 USA |
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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. |
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