Constructive method for solving a nonlinear singularly perturbed system of differential equations in critical case (Q2366448)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructive method for solving a nonlinear singularly perturbed system of differential equations in critical case |
scientific article |
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Constructive method for solving a nonlinear singularly perturbed system of differential equations in critical case (English)
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29 June 1993
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A singular perturbed system of differential equations with two small parameters is studied. The method of investigations is based on a transition from the given system to an operator system. Simple iterations for constructing the periodic solution are applicated. The domain of values of the small parameter for which the required solution exists and the iterations converge is estimated with the help of finite majorizing equations.
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singular perturbed system
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two small parameters
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periodic solution
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