Approximate solutions of Noetherian boundary value problems in a critical case (Q2880001)
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scientific article; zbMATH DE number 6022843
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate solutions of Noetherian boundary value problems in a critical case |
scientific article; zbMATH DE number 6022843 |
Statements
10 April 2012
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least squares method
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boundary value problem
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Liénard equation
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van der Pol equation
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Approximate solutions of Noetherian boundary value problems in a critical case (English)
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Necessary and sufficient conditions for the existence of solutions to a Noetherian boundary value problem are established for a nonlinear autonomous system of differential equations. An iterative scheme for solving the boundary value problem in a critical case is proposed based on the least squares method. This approach is illustrated by periodical boundary value problems for the Liénard and the van der Pol equations.
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