Triple positive solutions for second-order four-point boundary value problem with sign changing nonlinearities
Dapeng Xie, Hefei Teachers College, Hefei, Anhui, P. R. China E. J. Qualitative Theory of Diff. Equ., No. 35. (2009), pp. 1-14.
Yang Liu, Hefei Teachers College, Hefei, Anhui, P. R. China
Chuanzhi Bai, Huaiyin Teachers College, Huaian, Jiangsu, P. R. China
| Communicated by S. K. Ntouyas. | Received on 2009-02-25 Appeared on 2009-06-02 |
Abstract: In this paper, we study the existence of triple positive solutions for second-order four-point boundary value problem with sign changing nonlinearities. We first study the associated Green's function and obtain some useful properties. Our main tool is the fixed point theorem due to Avery and Peterson. The results of this paper are new and extent previously known results.
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