## Positive solutions of singular $$p$$-Laplacian dynamic equations with sign changing nonlinearity.(English)Zbl 1146.39033

Let $$\mathbb{T}$$ be a time scale including $$0$$ and $$T>0$$. Using the Schauder’s fixed point theorem and the upper and lower solution method, the authors obtained some results of existence of the positive solution for an $$m$$-point singular $$p$$-Laplacian dynamic equation with a boundary condition.

### MSC:

 39A12 Discrete version of topics in analysis 39A10 Additive difference equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B16 Singular nonlinear boundary value problems for ordinary differential equations
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### References:

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