The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE E. J. Qualitative Theory of Diff. Equ., No. 6. (2006), pp. 1-14.
| Communicated by T. A. Burton. | Received on 2006-05-12 Appeared on 2006-06-05 |
Abstract: Within the last decade, there has been growing interest in the study of multiple solutions of two- and multi-point boundary value problems of nonlinear ordinary differential equations as fixed points of a cone mapping. Undeniably many good results have emerged. The purpose of this paper is to point out that, in the special case of second-order equations, the shooting method can be an effective tool, sometimes yielding better results than those obtainable via fixed point techniques.
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