Irregular periodic solutions of linear differential systems with a nonzero mean value of small periodic perturbations (Q946113)
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scientific article; zbMATH DE number 5345613
| Language | Label | Description | Also known as |
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| English | Irregular periodic solutions of linear differential systems with a nonzero mean value of small periodic perturbations |
scientific article; zbMATH DE number 5345613 |
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Irregular periodic solutions of linear differential systems with a nonzero mean value of small periodic perturbations (English)
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22 September 2008
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The paper deals with asymptotic integration of the problem on periodic solutions of nonlinear ordinary differential equations of arbitrary order \(n\) which contain terms oscillating in time with frequency \(\omega \gg 1\) and proportional to the power \(\omega ^{d}\), where \(d \leq n\text{ /}2\). An averaging method for constructing the asymptotic solution of the problem is proposed.
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quasihyperbolic factorized differential equations
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