Existence and uniqueness of solutions for vector problems containing small parameters (Q1109190)
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scientific article; zbMATH DE number 4069331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness of solutions for vector problems containing small parameters |
scientific article; zbMATH DE number 4069331 |
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Existence and uniqueness of solutions for vector problems containing small parameters (English)
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1988
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The authors gives criteria for the existence of at least a solution of the two-point boundary value problem for the differential system \(\epsilon y_ i''+a_ i(x,y_ 1,y_ 2)y_ i'+b_ i(x,y_ 1,y_ 2)=0,\) \(i=1,2\), \(0\leq x\leq 1\), containing the small parameter \(\epsilon >0\).
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second order differential equation
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two-point boundary value problem
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small parameter
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