Positive solutions of boundary value problems for systems of second-order differential equations with integral boundary condition 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. 31. (2009), pp. 1-13.
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. Webb. | Received on 2009-03-23 Appeared on 2009-05-15 |
Abstract: In this paper, we study the existence of positive solutions of boundary value problems for systems of second-order differential equations with integral boundary condition on the half-line. By using the fixed-point theorem in cones, we show the existence of at least one positive solution with suitable growth conditions imposed on the nonlinear terms. Moreover, the associated integral kernels for the boundary value problems are given.
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