Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems (Q1801850)
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scientific article; zbMATH DE number 218427
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems |
scientific article; zbMATH DE number 218427 |
Statements
Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems (English)
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17 August 1993
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The article deals with the existence and uniqueness of solution of a class of two-point singular nonlinear boundary value problems. It is proved that the problem has a unique solution only for certain boundary conditions under the assumption that the range of \(\partial f/\partial y\) does not intersect the closure of the spectrum of the singular differential operator, where \(f\) denotes the nonlinearity. The behavior of the solution at the singular point \(x=0\) is also studied.
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existence
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uniqueness
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two-point singular nonlinear boundary value problems
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