The two-point boundary value problem from the Cauchy problem (Q1086723)
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scientific article; zbMATH DE number 3985655
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The two-point boundary value problem from the Cauchy problem |
scientific article; zbMATH DE number 3985655 |
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The two-point boundary value problem from the Cauchy problem (English)
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1985
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A priori bounds for solutions of the Picard boundary value problem \(x''=f(t,x,x')\), \(x(a)=A\), \(x(b)=B(P)\) are established by comparison with appropriate Cauchy problems. Existence and uniqueness results for (P) are given as consequences.
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second order differential equation
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A priori bounds
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Picard boundary value problem
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Cauchy problems
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