An existence and uniqueness theorem for a second order nonlinear system (Q860605)
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scientific article; zbMATH DE number 5083306
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An existence and uniqueness theorem for a second order nonlinear system |
scientific article; zbMATH DE number 5083306 |
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An existence and uniqueness theorem for a second order nonlinear system (English)
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9 January 2007
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A theorem on the existence and uniqueness of a nonlinear second-order homogeneous Dirichlet problem is presented. The theorem follows as a generalization of some results given by \textit{T. Trif} [Demonstr. Math.~38, 331--340 (2005; Zbl 1074.34018)]. The proof is based on the Wigner and Lees inequalities. Finally, two particular cases of the theorem are given as examples.
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nonlinear boundary value problem
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existence and uniqueness of the boundary value problem
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