摘要
In this paper we consider the existence of positive solutions to multi-point boundary value problems of third order dynamic equations with p-Laplacian operator on time scales. By the extension of the Leggett-Williams fixed point theorem, the existence of three positive solutions is obtained. An example is also presented to illustrate the feasibility of the obtained results. The interesting point is that the nonlinear term depends on the first-order delta derivative explicitly.
In this paper we consider the existence of positive solutions to multi-point boundary value problems of third order dynamic equations with p-Laplacian operator on time scales. By the extension of the Leggett-Williams fixed point theorem, the existence of three positive solutions is obtained. An example is also presented to illustrate the feasibility of the obtained results. The interesting point is that the nonlinear term depends on the first-order delta derivative explicitly.
基金
supported by NNSF of China(Nos.11171192,11471196)
NSF of Shandong Province(No.ZR2013AM005)
