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Higher-order dynamic delay differential equations on time scales. (English) Zbl 1244.34113

Summary: We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order \(p\)-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem with \(p\)-Laplacian operator are obtained.

MSC:

34N05 Dynamic equations on time scales or measure chains
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