A class of singularly perturbed boundary value problems for nonlinear differential systems (Q2721855)
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scientific article; zbMATH DE number 1616900
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of singularly perturbed boundary value problems for nonlinear differential systems |
scientific article; zbMATH DE number 1616900 |
Statements
11 July 2001
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singularly perturbed nonlinear system
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existence
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differential inequalities
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A class of singularly perturbed boundary value problems for nonlinear differential systems (English)
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Consider the singularly perturbed boundary value problem NEWLINE\[NEWLINE \varepsilon y''=f(x,y')y+g(x,y'),0<x<1,y(0)=A,y(1)=B, NEWLINE\]NEWLINE with \(\varepsilon \) a small positive parameter, \(y\in \mathbb{R}^n\). By means of an iteration method and the theory of differential inequalities, the author proves the existence of the solution to this problem and studies its asymptotic behavior.
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