On the number of positive solutions of nonlinear systems. (Q1399319)
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scientific article; zbMATH DE number 1956862
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the number of positive solutions of nonlinear systems. |
scientific article; zbMATH DE number 1956862 |
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On the number of positive solutions of nonlinear systems. (English)
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30 July 2003
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This paper is devoted to the existence, multiplicity and nonexistence of positive solutions to boundary value problems on \([0,1]\) for a class of second-order differential systems where the main common operator is the one-dimensional \(p\)-Laplacian, \(p> 1\). The author uses a fixed-point theorem in a cone due to \textit{M. A. Krasnoselskij} [Positive solutions of operator equations. Groningen: The Netherlands: P. Noordhoff Ltd. (1964; Zbl 0121.10604)].
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fixed-point theorem
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cone
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nonlinear system
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positive solution
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superlinear and sublinear with respect to a function at zero and infinity
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