## Triple positive solutions of boundary value problems for $$p$$-Laplacian dynamic equations on time scales.(English)Zbl 1103.34012

By using a triple fixed-point theorem, the authors prove the existence of at least three positive solutions of the $$p$$-Laplacian dynamic equation on a time scale $[\phi_{p}(u^{\Delta}(t))]^{\nabla}+g(t)f(u(t))=0,\quad t\in [0,T]_{\mathcal T},$ satisfying the boundary conditions $u(0)-B_0(u^{\Delta}(0))=0, \quad u^{\Delta}(T)=0\quad {\text or} \quad u^{\Delta}(0)=0, \quad u(T)+B_1(u^{\Delta}(T))=0.$

### MSC:

 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 39A12 Discrete version of topics in analysis
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### References:

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