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Positive solutions of four-point boundary-value problems for higher-order with \(p\)-Laplacian operator. (English) Zbl 1118.34021

Summary: We study the existence of positive solutions for nonlinear four-point singular boundary-value problems for higher-order equation with the \(p\)-Laplacian operator. Using the fixed-point index theory, we find conditions for the existence of one solution, and of multiple solutions.

MSC:

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