Solvability of nonlinear equations in a cone of a Banach space (Q1591908)
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scientific article; zbMATH DE number 1550627
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of nonlinear equations in a cone of a Banach space |
scientific article; zbMATH DE number 1550627 |
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Solvability of nonlinear equations in a cone of a Banach space (English)
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5 February 2001
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The author finds a solvability conditions for the equation \(Tu+ F(u)= 0\) in the case where the operator \([T+ F'(u)]^{-1}\) exist only for \(u\in K\), where \(K\) is a cone in a Banach space \(X\). He gives an application concerning the solvability of boundary-value problems for systems of second-order differential equations.
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solvability conditions
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cone in a Banach space
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boundary-value problems
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systems of second-order differential equations
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