A note on a boundary value problem (Q5929893)
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scientific article; zbMATH DE number 1587095
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on a boundary value problem |
scientific article; zbMATH DE number 1587095 |
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A note on a boundary value problem (English)
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26 September 2001
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Robin's boundary value problem
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existence
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Consider Robin's boundary value problem NEWLINE\[NEWLINE x''=f(t,x,x'),\quad a_0 x(0)-a_1 x'(0)=A,\quad b_0 x(1)-b_1 x'(1)=B,NEWLINE\]NEWLINE where \( A,B \) are arbitrary real numbers, and \(a_0, a_1, b_0, b_1 \) are nonnegative real constants. The author derives conditions on the function \(f\) and its derivatives under which there exists a unique solution to this problem.
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