Multiple positive solutions for boundary value problems of second-order differential equations system on the half-line
Shouliang Xi, University of Shanghai for Science and Technology, Shanghai, P. R. China E. J. Qualitative Theory of Diff. Equ., No. 17. (2010), pp. 1-15.
Mei Jia, University of Shanghai for Science and Technology, Shanghai, P. R. China
Huipeng Ji, University of Shanghai for Science and Technology, Shanghai, P. R. China
| Communicated by J. R. L. Webb. | Received on 2009-12-28 Appeared on 2010-03-16 |
Abstract: In this paper, we study the existence of positive solutions for boundary value problems of second-order differential equations system with integral boundary condition on the half-line. By using a three functionals fixed point theorem in a cone and a fixed point theorem in a cone due to Avery-Peterson, we show the existence of at least two and three monotone increasing positive solutions with suitable growth conditions imposed on the nonlinear terms.
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