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Positive solutions for a class of quasi-linear multi-point boundary value problems with one-dimensional \(p\)-Laplacian. (Chinese. English summary) Zbl 1249.34072

Summary: By applying monotone iterative technique, the authors establish some sufficient conditions for the existence of twin positive solutions for a class of quasi-linear multi-point boundary value problems with one-dimensional \(p\)-Laplacian. At the same time, the authors also establish iterative schemes for approximating these twin solutions, which start with a known simple linear function.

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations
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