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On the number of positive solutions of nonlinear systems. (English) Zbl 1036.34032

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 M. A. Krasnoselskij [Positive solutions of operator equations. Groningen: The Netherlands: P. Noordhoff Ltd. (1964; Zbl 0121.10604)].

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations

Citations:

Zbl 0121.10604
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References:

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